proofs/crypto/sha/packed/conformance.bend

bend-collections-laws-crypto@1.0.0.0 · 2,761 lines · 76 definitions

1import Base
2import bend-collections-laws-crypto@1.0.0.0/src/crypto/sha/packed/core.bend as Runtime
3import bend-collections-laws-crypto@1.0.0.0/src/crypto/sha/state.bend as S
4import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/sha/packed/core_model.bend as C
5import bend-collections-laws-crypto@1.0.0.0/spec/crypto/sha.bend as F
6import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/sha/list_proofs.bend as L
7import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/sha/padding.bend as Padding
8
9law octets_correct:
10  for +width: Nat
11  for +n: Nat
12  for +acc: List<&2, U32>
13  {C.length_octets(width, n, acc) == List.append(&2, U32, F.octets(width, n), acc) : List<&2, U32>}
14
15def octets_correct(width, n, acc):
16  match width:
17    case 0n:
18      {==}
19    case 1n+p:
20      %L.append_assoc_reverse(U32, F.octets(p, Nat.div(n, 256n)),
21        [U32.from_nat(Nat.mod(n, 256n))], acc) :
22        {C.length_octets(p, Nat.div(n, 256n), U32.from_nat(Nat.mod(n, 256n)) <> acc) == _ : List<&2, U32>}
23      octets_correct(p, Nat.div(n, 256n), U32.from_nat(Nat.mod(n, 256n)) <> acc)
24
25law length_correct:
26  for +n: Nat
27  {C.bit_length(n) == F.length_field(n) : List<&2, U32>}
28
29def length_correct(n):
30  octets_correct(7n, Nat.div(n, 32n), [U32.shln(U32.from_nat(Nat.mod(n, 32n)), 3n)])
31
32law nth_correct:
33  for xs: List<&2, U32>
34  for n: Nat
35  {C.get(xs, n) == F.nth(xs, n) : U32}
36
37def nth_correct(xs, n):
38  match xs n:
39    case Nil{} _:
40      {==}
41    case h <> t 0n:
42      {==}
43    case h <> t 1n+p:
44      nth_correct(t, p)
45
46law next_correct:
47  for +hs: List<&2, U32>
48  {C.next_word(hs) == F.recurrence(hs) : U32}
49
50def next_correct(hs):
51  match hs:
52    case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> (p <> rest):
53      {==}
54    case Nil{}:
55      {==}
56    case a <> Nil{}:
57      {==}
58    case a <> b <> Nil{}:
59      {==}
60    case a <> b <> c <> Nil{}:
61      {==}
62    case a <> b <> c <> d <> Nil{}:
63      {==}
64    case a <> b <> c <> d <> e <> Nil{}:
65      {==}
66    case a <> b <> c <> d <> e <> f <> Nil{}:
67      {==}
68    case a <> b <> c <> d <> e <> f <> g <> Nil{}:
69      {==}
70    case a <> b <> c <> d <> e <> f <> g <> h <> Nil{}:
71      {==}
72    case a <> b <> c <> d <> e <> f <> g <> h <> i <> Nil{}:
73      {==}
74    case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> Nil{}:
75      {==}
76    case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> Nil{}:
77      {==}
78    case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> Nil{}:
79      {==}
80    case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> Nil{}:
81      {==}
82    case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> Nil{}:
83      {==}
84    case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> Nil{}:
85      {==}
86
87law extension_correct:
88  for +n: Nat
89  for +hs: List<&2, U32>
90  {C.expand(n, hs) == F.extension(n, hs) : List<&2, U32>}
91
92def extension_correct(n, hs):
93  match n:
94    case 0n:
95      {==}
96    case 1n+p:
97      %next_correct(hs) : {C.expand(1n+p, hs) == _ <> F.extension(p, _ <> hs) : List<&2, U32>}
98      %extension_correct(p, C.next_word(hs) <> hs) :
99        {C.expand(1n+p, hs) == C.next_word(hs) <> _ : List<&2, U32>}
100      {==}
101
102law schedule_correct:
103  for +extra: Nat
104  for +block: List<&2, U32>
105  {C.schedule(extra, block) == F.schedule(extra, block) : List<&2, U32>}
106
107def schedule_correct(extra, block):
108  Equal.cong(List<&2, U32>, List<&2, U32>, ext => List.append(&2, U32, block, ext),
109    C.expand(extra, List.reverse(&2, U32, block)), F.extension(extra, List.reverse(&2, U32, block)),
110    extension_correct(extra, List.reverse(&2, U32, block)))
111
112law step_correct:
113  for s: S.State
114  for k: U32
115  for w: U32
116  {Runtime.step(s, k, w) == F.step(s, k, w) : S.State}
117
118def step_correct(s, k, w):
119  match s:
120    case S.H{a, b, c, d, e, f, g, h}:
121      {==}
122
123law rounds_correct:
124  for +ks: List<&2, U32>
125  for +ws: List<&2, U32>
126  for +s: S.State
127  {C.rounds(ks, ws, s) == F.rounds(ks, ws)(s) : S.State}
128
129def rounds_correct(ks, ws, s):
130  match ks ws:
131    case Nil{} _:
132      {==}
133    case k <> kt Nil{}:
134      {==}
135    case k <> kt w <> wt:
136      %step_correct(s, k, w) :
137        {C.rounds(kt, wt, Runtime.step(s, k, w)) == F.rounds(kt, wt)(_) : S.State}
138      rounds_correct(kt, wt, Runtime.step(s, k, w))
139
140law feedforward_correct:
141  for x: S.State
142  for y: S.State
143  {Runtime.feedforward(x, y) == F.feedforward(x, y) : S.State}
144
145def feedforward_correct(x, y):
146  match x y:
147    case S.H{a, b, c, d, e, f, g, h} S.H{i, j, k, l, m, n, o, p}:
148      {==}
149
150law compression_correct:
151  for +ws: List<&2, U32>
152  for +ks: List<&2, U32>
153  for +s: S.State
154  {C.compress(ws, ks, s) == F.compress(ws, ks, s) : S.State}
155
156def compression_correct(ws, ks, s):
157  %feedforward_correct(s, F.rounds(ks, ws)(s)) : {C.compress(ws, ks, s) == _ : S.State}
158  Equal.cong(S.State, S.State, r => Runtime.feedforward(s, r),
159    C.rounds(ks, ws, s), F.rounds(ks, ws)(s), rounds_correct(ks, ws, s))
160
161law expanded_rounds_correct:
162  for +n: Nat
163  for +history: List<&2, U32>
164  for +ks: List<&2, U32>
165  for +s: S.State
166  {C.expanded_rounds(n, history, ks, s) == C.rounds(ks, C.expand(n, history), s) : S.State}
167
168def expanded_rounds_correct(n, history, ks, s):
169  match n ks:
170    case 0n Nil{}:
171      {==}
172    case 0n k <> kt:
173      {==}
174    case 1n+p Nil{}:
175      {==}
176    case 1n+p k <> kt:
177      expanded_rounds_correct(p, C.next_word(history) <> history, kt,
178        Runtime.step(s, k, C.next_word(history)))
179
180law schedule_rounds_correct:
181  for +ws: List<&2, U32>
182  for +extra: Nat
183  for +history: List<&2, U32>
184  for +ks: List<&2, U32>
185  for +s: S.State
186  {C.schedule_rounds(ws, extra, history, ks, s) ==
187    C.rounds(ks, List.append(&2, U32, ws, C.expand(extra, history)), s) : S.State}
188
189def schedule_rounds_correct(ws, extra, history, ks, s):
190  match ws ks:
191    case Nil{} _:
192      expanded_rounds_correct(extra, history, ks, s)
193    case w <> wt Nil{}:
194      {==}
195    case w <> wt k <> kt:
196      schedule_rounds_correct(wt, extra, history, kt, Runtime.step(s, k, w))
197
198law fused_compress_correct:
199  for +block: List<&2, U32>
200  for +extra: Nat
201  for +ks: List<&2, U32>
202  for +s: S.State
203  {C.fused_compress(block, extra, ks, s) == C.compress(C.schedule(extra, block), ks, s) : S.State}
204
205law fused_compress_slow_correct:
206  for +block: List<&2, U32>
207  for +extra: Nat
208  for +ks: List<&2, U32>
209  for +s: S.State
210  {C.fused_compress_slow(block, extra, ks, s) == C.compress(C.schedule(extra, block), ks, s) : S.State}
211
212def fused_compress_slow_correct(block, extra, ks, s):
213  Equal.cong(S.State, S.State, r => Runtime.feedforward(s, r),
214    C.schedule_rounds(block, extra, List.reverse(&2, U32, block), ks, s),
215    C.rounds(ks, List.append(&2, U32, block,
216      C.expand(extra, List.reverse(&2, U32, block))), s),
217    schedule_rounds_correct(block, extra, List.reverse(&2, U32, block), ks, s))
218
219law window_rounds_correct:
220  for +q: Nat
221  for +a: U32
222  for +b: U32
223  for +c: U32
224  for +d: U32
225  for +e: U32
226  for +f: U32
227  for +g: U32
228  for +h: U32
229  for +i: U32
230  for +j: U32
231  for +k: U32
232  for +l: U32
233  for +m: U32
234  for +n: U32
235  for +o: U32
236  for +p: U32
237  for +rest: List<&2, U32>
238  for +ks: List<&2, U32>
239  for +s: S.State
240  {C.window_rounds(q, Runtime.W{a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p}, ks, s) ==
241    C.expanded_rounds(q, a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> p <> rest, ks, s) : S.State}
242
243def window_rounds_correct(q, a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, rest, ks, s):
244  match q ks:
245    case 0n Nil{}:
246      {==}
247    case 0n x <> xt:
248      {==}
249    case 1n+r Nil{}:
250      {==}
251    case 1n+r x <> xt:
252      window_rounds_correct(r,
253        (Runtime.small1(b) + g + Runtime.small0(o) + p : U32),
254        a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p <> rest, xt,
255        Runtime.step(s, x, (Runtime.small1(b) + g + Runtime.small0(o) + p : U32)))
256
257law window_schedule_rounds_correct:
258  for +ws: List<&2, U32>
259  for +extra: Nat
260  for +a: U32
261  for +b: U32
262  for +c: U32
263  for +d: U32
264  for +e: U32
265  for +f: U32
266  for +g: U32
267  for +h: U32
268  for +i: U32
269  for +j: U32
270  for +k: U32
271  for +l: U32
272  for +m: U32
273  for +n: U32
274  for +o: U32
275  for +p: U32
276  for +rest: List<&2, U32>
277  for +ks: List<&2, U32>
278  for +s: S.State
279  {C.window_schedule_rounds(ws, extra, Runtime.W{a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p}, ks, s) ==
280    C.schedule_rounds(ws, extra, a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> p <> rest, ks, s) : S.State}
281
282def window_schedule_rounds_correct(ws, extra, a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, rest, ks, s):
283  match ws ks:
284    case Nil{} _:
285      window_rounds_correct(extra, a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, rest, ks, s)
286    case w <> wt Nil{}:
287      {==}
288    case w <> wt x <> xt:
289      window_schedule_rounds_correct(wt, extra, a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p,
290        rest, xt, Runtime.step(s, x, w))
291
292def fused_compress_correct(block, extra, ks, s):
293  match block:
294    case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> p <> Nil{}:
295      Equal.trans(S.State,
296        Runtime.feedforward(s, C.window_schedule_rounds(
297          [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], extra,
298          Runtime.W{p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a}, ks, s)),
299        Runtime.feedforward(s, C.schedule_rounds(
300          [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], extra,
301          [p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a], ks, s)),
302        Runtime.feedforward(s, C.rounds(ks, List.append(&2, U32,
303          [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p],
304          C.expand(extra, [p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a])), s)),
305        Equal.cong(S.State, S.State, r => Runtime.feedforward(s, r),
306          C.window_schedule_rounds(
307            [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], extra,
308            Runtime.W{p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a}, ks, s),
309          C.schedule_rounds(
310            [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], extra,
311            [p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a], ks, s),
312          window_schedule_rounds_correct(
313            [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], extra,
314            p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a, Nil{}, ks, s)),
315        Equal.cong(S.State, S.State, r => Runtime.feedforward(s, r),
316          C.schedule_rounds(
317            [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], extra,
318            [p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a], ks, s),
319          C.rounds(ks, List.append(&2, U32,
320            [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p],
321            C.expand(extra, [p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a])), s),
322          schedule_rounds_correct(
323            [a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], extra,
324            [p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a], ks, s)))
325    case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> p <> q <> rest:
326      fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> p <> q <> rest, extra, ks, s)
327    case Nil{}:
328      fused_compress_slow_correct(Nil{}, extra, ks, s)
329    case a <> Nil{}:
330      fused_compress_slow_correct(a <> Nil{}, extra, ks, s)
331    case a <> b <> Nil{}:
332      fused_compress_slow_correct(a <> b <> Nil{}, extra, ks, s)
333    case a <> b <> c <> Nil{}:
334      fused_compress_slow_correct(a <> b <> c <> Nil{}, extra, ks, s)
335    case a <> b <> c <> d <> Nil{}:
336      fused_compress_slow_correct(a <> b <> c <> d <> Nil{}, extra, ks, s)
337    case a <> b <> c <> d <> e <> Nil{}:
338      fused_compress_slow_correct(a <> b <> c <> d <> e <> Nil{}, extra, ks, s)
339    case a <> b <> c <> d <> e <> f <> Nil{}:
340      fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> Nil{}, extra, ks, s)
341    case a <> b <> c <> d <> e <> f <> g <> Nil{}:
342      fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> Nil{}, extra, ks, s)
343    case a <> b <> c <> d <> e <> f <> g <> h <> Nil{}:
344      fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> Nil{}, extra, ks, s)
345    case a <> b <> c <> d <> e <> f <> g <> h <> i <> Nil{}:
346      fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> i <> Nil{}, extra, ks, s)
347    case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> Nil{}:
348      fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> Nil{}, extra, ks, s)
349    case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> Nil{}:
350      fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> Nil{}, extra, ks, s)
351    case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> Nil{}:
352      fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> Nil{}, extra, ks, s)
353    case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> Nil{}:
354      fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> Nil{}, extra, ks, s)
355    case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> Nil{}:
356      fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> Nil{}, extra, ks, s)
357    case a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> Nil{}:
358      fused_compress_slow_correct(a <> b <> c <> d <> e <> f <> g <> h <> i <> j <> k <> l <> m <> n <> o <> Nil{}, extra, ks, s)
359
360law window_compress16_correct:
361  for +a: U32
362  for +b: U32
363  for +c: U32
364  for +d: U32
365  for +e: U32
366  for +f: U32
367  for +g: U32
368  for +h: U32
369  for +i: U32
370  for +j: U32
371  for +k: U32
372  for +l: U32
373  for +m: U32
374  for +n: U32
375  for +o: U32
376  for +p: U32
377  for +extra: Nat
378  for +ks: List<&2, U32>
379  for +s: S.State
380  {C.window_compress16(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, extra, ks, s) ==
381    C.fused_compress([a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p], extra, ks, s) : S.State}
382
383def window_compress16_correct(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, extra, ks, s):
384  match ks:
385    case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> k8 <> k9 <> k10 <> k11 <> k12 <> k13 <> k14 <> k15 <> kt:
386      {==}
387    case Nil{}:
388      {==}
389    case k0 <> Nil{}:
390      {==}
391    case k0 <> k1 <> Nil{}:
392      {==}
393    case k0 <> k1 <> k2 <> Nil{}:
394      {==}
395    case k0 <> k1 <> k2 <> k3 <> Nil{}:
396      {==}
397    case k0 <> k1 <> k2 <> k3 <> k4 <> Nil{}:
398      {==}
399    case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> Nil{}:
400      {==}
401    case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> Nil{}:
402      {==}
403    case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> Nil{}:
404      {==}
405    case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> k8 <> Nil{}:
406      {==}
407    case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> k8 <> k9 <> Nil{}:
408      {==}
409    case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> k8 <> k9 <> k10 <> Nil{}:
410      {==}
411    case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> k8 <> k9 <> k10 <> k11 <> Nil{}:
412      {==}
413    case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> k8 <> k9 <> k10 <> k11 <> k12 <> Nil{}:
414      {==}
415    case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> k8 <> k9 <> k10 <> k11 <> k12 <> k13 <> Nil{}:
416      {==}
417    case k0 <> k1 <> k2 <> k3 <> k4 <> k5 <> k6 <> k7 <> k8 <> k9 <> k10 <> k11 <> k12 <> k13 <> k14 <> Nil{}:
418      {==}
419
420law digest_correct:
421  for s: S.State
422  {C.digest(s) == F.digest(s) : List<&2, U32>}
423
424def digest_correct(s):
425  match s:
426    case S.H{a, b, c, d, e, f, g, h}:
427      {==}
428
429law block_bytes_correct:
430  for +bytes: List<&2, U32>
431  for +extra: Nat
432  for +ks: List<&2, U32>
433  for +s: S.State
434  {C.block_bytes(bytes, extra, ks, s) == F.blocks(F.schedules(F.words(bytes), extra), ks)(s) : S.State}
435
436def block_bytes_correct(bytes, extra, ks, s):
437  match bytes:
438    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> b63 <> rest:
439      +block = {[
440        Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15),
441        Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31),
442        Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47),
443        Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, b63)
444      ] : List<&2, U32>}
445      +fast = C.window_compress16(
446        Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15),
447        Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31),
448        Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47),
449        Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, b63),
450        extra, ks, s)
451      %schedule_correct(extra, block) :
452        {C.block_bytes(rest, extra, ks, fast) == F.blocks(F.schedules(F.words(rest), extra), ks)(F.compress(_, ks, s)) : S.State}
453      %compression_correct(C.schedule(extra, block), ks, s) :
454        {C.block_bytes(rest, extra, ks, fast) == F.blocks(F.schedules(F.words(rest), extra), ks)(_) : S.State}
455      %fused_compress_correct(block, extra, ks, s) :
456        {C.block_bytes(rest, extra, ks, fast) == F.blocks(F.schedules(F.words(rest), extra), ks)(_) : S.State}
457      %window_compress16_correct(
458        Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15),
459        Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31),
460        Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47),
461        Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, b63),
462        extra, ks, s) :
463        {C.block_bytes(rest, extra, ks, fast) == F.blocks(F.schedules(F.words(rest), extra), ks)(_) : S.State}
464      block_bytes_correct(rest, extra, ks, fast)
465    case Nil{}:
466      {==}
467    case b0 <> Nil{}:
468      {==}
469    case b0 <> b1 <> Nil{}:
470      {==}
471    case b0 <> b1 <> b2 <> Nil{}:
472      {==}
473    case b0 <> b1 <> b2 <> b3 <> Nil{}:
474      {==}
475    case b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}:
476      {==}
477    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}:
478      {==}
479    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}:
480      {==}
481    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}:
482      {==}
483    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}:
484      {==}
485    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}:
486      {==}
487    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}:
488      {==}
489    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}:
490      {==}
491    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}:
492      {==}
493    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}:
494      {==}
495    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}:
496      {==}
497    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}:
498      {==}
499    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}:
500      {==}
501    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}:
502      {==}
503    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}:
504      {==}
505    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}:
506      {==}
507    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}:
508      {==}
509    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}:
510      {==}
511    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}:
512      {==}
513    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}:
514      {==}
515    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}:
516      {==}
517    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}:
518      {==}
519    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}:
520      {==}
521    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}:
522      {==}
523    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}:
524      {==}
525    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}:
526      {==}
527    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}:
528      {==}
529    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}:
530      {==}
531    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}:
532      {==}
533    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}:
534      {==}
535    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}:
536      {==}
537    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}:
538      {==}
539    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}:
540      {==}
541    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}:
542      {==}
543    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}:
544      {==}
545    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}:
546      {==}
547    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}:
548      {==}
549    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}:
550      {==}
551    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}:
552      {==}
553    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}:
554      {==}
555    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}:
556      {==}
557    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}:
558      {==}
559    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}:
560      {==}
561    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}:
562      {==}
563    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}:
564      {==}
565    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}:
566      {==}
567    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}:
568      {==}
569    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}:
570      {==}
571    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}:
572      {==}
573    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}:
574      {==}
575    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}:
576      {==}
577    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}:
578      {==}
579    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}:
580      {==}
581    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}:
582      {==}
583    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}:
584      {==}
585    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}:
586      {==}
587    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}:
588      {==}
589    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}:
590      {==}
591    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}:
592      {==}
593
594law suffix_correct:
595  for +n: Nat
596  {C.suffix(n) == F.padding_suffix(n) : List<&2, U32>}
597
598def suffix_correct(n):
599  %Padding.zeros_correct(Nat.mod(n, 64n)) :
600    {C.suffix(n) == 128 <> List.append(&2, U32, List.replicate(U32, _, 0), F.length_field(n)) : List<&2, U32>}
601  %length_correct(n) :
602    {C.suffix(n) == 128 <> List.append(&2, U32,
603      List.replicate(U32, Nat.mod(Nat.sub(119n, Nat.mod(n, 64n)), 64n), 0), _) : List<&2, U32>}
604  {==}
605
606# Byte counts of whole blocks: 64 * k, built the way stream accumulates them.
607def mul64(k: Nat) -> Nat:
608  match k:
609    case 0n:
610      0n
611    case 1n+p:
612      Nat.add(64n, mul64(p))
613
614# The quotient accumulator never affects the remainder computed by divmod.
615law mod_quotient:
616  for +x: Nat
617  for +m: Nat
618  for +d: Nat
619  for +e: Nat
620  for +r: Nat
621  {Pair.snd(Nat, Nat, Nat.divmod.go(x, m, d, r)) == Pair.snd(Nat, Nat, Nat.divmod.go(x, m, e, r)) : Nat}
622
623def mod_quotient(x, m, d, e, r):
624  match x m:
625    case 0n _:
626      {==}
627    case 1n+p 0n:
628      mod_quotient(p, r, 1n+d, 1n+e, 0n)
629    case 1n+p 1n+q:
630      mod_quotient(p, q, d, e, 1n+r)
631
632# Sixty-four divmod steps return to the initial counter state with a larger quotient.
633law mod_shift:
634  for +x: Nat
635  {Nat.mod(Nat.add(64n, x), 64n) == Nat.mod(x, 64n) : Nat}
636
637def mod_shift(x):
638  mod_quotient(x, 63n, 1n, 0n, 0n)
639
640law mod_tail:
641  for +x: Nat
642  for +k: Nat
643  {Nat.mod(Nat.add(x, mul64(k)), 64n) == Nat.mod(x, 64n) : Nat}
644
645def mod_tail(x, k):
646  match k:
647    case 0n:
648      %L.add_zero(x) : {Nat.mod(Nat.add(x, 0n), 64n) == Nat.mod(_, 64n) : Nat}
649      {==}
650    case 1n+p:
651      Equal.trans(Nat, Nat.mod(Nat.add(x, Nat.add(64n, mul64(p))), 64n),
652        Nat.mod(Nat.add(64n, Nat.add(x, mul64(p))), 64n), Nat.mod(x, 64n),
653        Equal.cong(Nat, Nat, y => Nat.mod(y, 64n),
654          Nat.add(x, Nat.add(64n, mul64(p))), Nat.add(64n, Nat.add(x, mul64(p))),
655          L.add_swap(x, 64n, mul64(p))),
656        Equal.trans(Nat, Nat.mod(Nat.add(64n, Nat.add(x, mul64(p))), 64n),
657          Nat.mod(Nat.add(x, mul64(p)), 64n), Nat.mod(x, 64n),
658          mod_shift(Nat.add(x, mul64(p))), mod_tail(x, p)))
659
660# Each literal-constant round refines one step of window_rounds over the
661# remaining FIPS constants; the window variables stay abstract, so every proof
662# is one unfolding followed by the next round's lemma.
663law kr64_correct:
664  for +q: Nat
665  for +win: Runtime.ShaWindow
666  for +s: S.State
667  {Runtime.kr64(q, win, s) == C.window_rounds(q, win, Nil{}, s) : S.State}
668
669def kr64_correct(q, win, s):
670  match q win:
671    case 0n _:
672      {==}
673    case 1n+z Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}:
674      {==}
675
676law kr63_correct:
677  for +q: Nat
678  for +x0: U32
679  for +x1: U32
680  for +x2: U32
681  for +x3: U32
682  for +x4: U32
683  for +x5: U32
684  for +x6: U32
685  for +x7: U32
686  for +x8: U32
687  for +x9: U32
688  for +x10: U32
689  for +x11: U32
690  for +x12: U32
691  for +x13: U32
692  for +x14: U32
693  for +x15: U32
694  for +s: S.State
695  {Runtime.kr63(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
696    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3329325298], s) : S.State}
697
698def kr63_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
699  match q:
700    case 0n:
701      {==}
702    case 1n+z:
703      kr64_correct(z, Runtime.W{(Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14},
704        Runtime.step(s, 3329325298, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
705
706law kr62_correct:
707  for +q: Nat
708  for +x0: U32
709  for +x1: U32
710  for +x2: U32
711  for +x3: U32
712  for +x4: U32
713  for +x5: U32
714  for +x6: U32
715  for +x7: U32
716  for +x8: U32
717  for +x9: U32
718  for +x10: U32
719  for +x11: U32
720  for +x12: U32
721  for +x13: U32
722  for +x14: U32
723  for +x15: U32
724  for +s: S.State
725  {Runtime.kr62(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
726    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3204031479, 3329325298], s) : S.State}
727
728def kr62_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
729  match q:
730    case 0n:
731      {==}
732    case 1n+z:
733      kr63_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
734        Runtime.step(s, 3204031479, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
735
736law kr61_correct:
737  for +q: Nat
738  for +x0: U32
739  for +x1: U32
740  for +x2: U32
741  for +x3: U32
742  for +x4: U32
743  for +x5: U32
744  for +x6: U32
745  for +x7: U32
746  for +x8: U32
747  for +x9: U32
748  for +x10: U32
749  for +x11: U32
750  for +x12: U32
751  for +x13: U32
752  for +x14: U32
753  for +x15: U32
754  for +s: S.State
755  {Runtime.kr61(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
756    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2756734187, 3204031479, 3329325298], s) : S.State}
757
758def kr61_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
759  match q:
760    case 0n:
761      {==}
762    case 1n+z:
763      kr62_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
764        Runtime.step(s, 2756734187, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
765
766law kr60_correct:
767  for +q: Nat
768  for +x0: U32
769  for +x1: U32
770  for +x2: U32
771  for +x3: U32
772  for +x4: U32
773  for +x5: U32
774  for +x6: U32
775  for +x7: U32
776  for +x8: U32
777  for +x9: U32
778  for +x10: U32
779  for +x11: U32
780  for +x12: U32
781  for +x13: U32
782  for +x14: U32
783  for +x15: U32
784  for +s: S.State
785  {Runtime.kr60(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
786    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
787
788def kr60_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
789  match q:
790    case 0n:
791      {==}
792    case 1n+z:
793      kr61_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
794        Runtime.step(s, 2428436474, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
795
796law kr59_correct:
797  for +q: Nat
798  for +x0: U32
799  for +x1: U32
800  for +x2: U32
801  for +x3: U32
802  for +x4: U32
803  for +x5: U32
804  for +x6: U32
805  for +x7: U32
806  for +x8: U32
807  for +x9: U32
808  for +x10: U32
809  for +x11: U32
810  for +x12: U32
811  for +x13: U32
812  for +x14: U32
813  for +x15: U32
814  for +s: S.State
815  {Runtime.kr59(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
816    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
817
818def kr59_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
819  match q:
820    case 0n:
821      {==}
822    case 1n+z:
823      kr60_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
824        Runtime.step(s, 2361852424, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
825
826law kr58_correct:
827  for +q: Nat
828  for +x0: U32
829  for +x1: U32
830  for +x2: U32
831  for +x3: U32
832  for +x4: U32
833  for +x5: U32
834  for +x6: U32
835  for +x7: U32
836  for +x8: U32
837  for +x9: U32
838  for +x10: U32
839  for +x11: U32
840  for +x12: U32
841  for +x13: U32
842  for +x14: U32
843  for +x15: U32
844  for +s: S.State
845  {Runtime.kr58(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
846    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
847
848def kr58_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
849  match q:
850    case 0n:
851      {==}
852    case 1n+z:
853      kr59_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
854        Runtime.step(s, 2227730452, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
855
856law kr57_correct:
857  for +q: Nat
858  for +x0: U32
859  for +x1: U32
860  for +x2: U32
861  for +x3: U32
862  for +x4: U32
863  for +x5: U32
864  for +x6: U32
865  for +x7: U32
866  for +x8: U32
867  for +x9: U32
868  for +x10: U32
869  for +x11: U32
870  for +x12: U32
871  for +x13: U32
872  for +x14: U32
873  for +x15: U32
874  for +s: S.State
875  {Runtime.kr57(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
876    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
877
878def kr57_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
879  match q:
880    case 0n:
881      {==}
882    case 1n+z:
883      kr58_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
884        Runtime.step(s, 2024104815, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
885
886law kr56_correct:
887  for +q: Nat
888  for +x0: U32
889  for +x1: U32
890  for +x2: U32
891  for +x3: U32
892  for +x4: U32
893  for +x5: U32
894  for +x6: U32
895  for +x7: U32
896  for +x8: U32
897  for +x9: U32
898  for +x10: U32
899  for +x11: U32
900  for +x12: U32
901  for +x13: U32
902  for +x14: U32
903  for +x15: U32
904  for +s: S.State
905  {Runtime.kr56(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
906    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
907
908def kr56_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
909  match q:
910    case 0n:
911      {==}
912    case 1n+z:
913      kr57_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
914        Runtime.step(s, 1955562222, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
915
916law kr55_correct:
917  for +q: Nat
918  for +x0: U32
919  for +x1: U32
920  for +x2: U32
921  for +x3: U32
922  for +x4: U32
923  for +x5: U32
924  for +x6: U32
925  for +x7: U32
926  for +x8: U32
927  for +x9: U32
928  for +x10: U32
929  for +x11: U32
930  for +x12: U32
931  for +x13: U32
932  for +x14: U32
933  for +x15: U32
934  for +s: S.State
935  {Runtime.kr55(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
936    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
937
938def kr55_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
939  match q:
940    case 0n:
941      {==}
942    case 1n+z:
943      kr56_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
944        Runtime.step(s, 1747873779, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
945
946law kr54_correct:
947  for +q: Nat
948  for +x0: U32
949  for +x1: U32
950  for +x2: U32
951  for +x3: U32
952  for +x4: U32
953  for +x5: U32
954  for +x6: U32
955  for +x7: U32
956  for +x8: U32
957  for +x9: U32
958  for +x10: U32
959  for +x11: U32
960  for +x12: U32
961  for +x13: U32
962  for +x14: U32
963  for +x15: U32
964  for +s: S.State
965  {Runtime.kr54(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
966    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
967
968def kr54_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
969  match q:
970    case 0n:
971      {==}
972    case 1n+z:
973      kr55_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
974        Runtime.step(s, 1537002063, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
975
976law kr53_correct:
977  for +q: Nat
978  for +x0: U32
979  for +x1: U32
980  for +x2: U32
981  for +x3: U32
982  for +x4: U32
983  for +x5: U32
984  for +x6: U32
985  for +x7: U32
986  for +x8: U32
987  for +x9: U32
988  for +x10: U32
989  for +x11: U32
990  for +x12: U32
991  for +x13: U32
992  for +x14: U32
993  for +x15: U32
994  for +s: S.State
995  {Runtime.kr53(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
996    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
997
998def kr53_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
999  match q:
1000    case 0n:
1001      {==}
1002    case 1n+z:
1003      kr54_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1004        Runtime.step(s, 1322822218, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1005
1006law kr52_correct:
1007  for +q: Nat
1008  for +x0: U32
1009  for +x1: U32
1010  for +x2: U32
1011  for +x3: U32
1012  for +x4: U32
1013  for +x5: U32
1014  for +x6: U32
1015  for +x7: U32
1016  for +x8: U32
1017  for +x9: U32
1018  for +x10: U32
1019  for +x11: U32
1020  for +x12: U32
1021  for +x13: U32
1022  for +x14: U32
1023  for +x15: U32
1024  for +s: S.State
1025  {Runtime.kr52(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1026    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1027
1028def kr52_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1029  match q:
1030    case 0n:
1031      {==}
1032    case 1n+z:
1033      kr53_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1034        Runtime.step(s, 958139571, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1035
1036law kr51_correct:
1037  for +q: Nat
1038  for +x0: U32
1039  for +x1: U32
1040  for +x2: U32
1041  for +x3: U32
1042  for +x4: U32
1043  for +x5: U32
1044  for +x6: U32
1045  for +x7: U32
1046  for +x8: U32
1047  for +x9: U32
1048  for +x10: U32
1049  for +x11: U32
1050  for +x12: U32
1051  for +x13: U32
1052  for +x14: U32
1053  for +x15: U32
1054  for +s: S.State
1055  {Runtime.kr51(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1056    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1057
1058def kr51_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1059  match q:
1060    case 0n:
1061      {==}
1062    case 1n+z:
1063      kr52_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1064        Runtime.step(s, 883997877, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1065
1066law kr50_correct:
1067  for +q: Nat
1068  for +x0: U32
1069  for +x1: U32
1070  for +x2: U32
1071  for +x3: U32
1072  for +x4: U32
1073  for +x5: U32
1074  for +x6: U32
1075  for +x7: U32
1076  for +x8: U32
1077  for +x9: U32
1078  for +x10: U32
1079  for +x11: U32
1080  for +x12: U32
1081  for +x13: U32
1082  for +x14: U32
1083  for +x15: U32
1084  for +s: S.State
1085  {Runtime.kr50(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1086    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1087
1088def kr50_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1089  match q:
1090    case 0n:
1091      {==}
1092    case 1n+z:
1093      kr51_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1094        Runtime.step(s, 659060556, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1095
1096law kr49_correct:
1097  for +q: Nat
1098  for +x0: U32
1099  for +x1: U32
1100  for +x2: U32
1101  for +x3: U32
1102  for +x4: U32
1103  for +x5: U32
1104  for +x6: U32
1105  for +x7: U32
1106  for +x8: U32
1107  for +x9: U32
1108  for +x10: U32
1109  for +x11: U32
1110  for +x12: U32
1111  for +x13: U32
1112  for +x14: U32
1113  for +x15: U32
1114  for +s: S.State
1115  {Runtime.kr49(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1116    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1117
1118def kr49_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1119  match q:
1120    case 0n:
1121      {==}
1122    case 1n+z:
1123      kr50_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1124        Runtime.step(s, 506948616, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1125
1126law kr48_correct:
1127  for +q: Nat
1128  for +x0: U32
1129  for +x1: U32
1130  for +x2: U32
1131  for +x3: U32
1132  for +x4: U32
1133  for +x5: U32
1134  for +x6: U32
1135  for +x7: U32
1136  for +x8: U32
1137  for +x9: U32
1138  for +x10: U32
1139  for +x11: U32
1140  for +x12: U32
1141  for +x13: U32
1142  for +x14: U32
1143  for +x15: U32
1144  for +s: S.State
1145  {Runtime.kr48(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1146    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1147
1148def kr48_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1149  match q:
1150    case 0n:
1151      {==}
1152    case 1n+z:
1153      kr49_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1154        Runtime.step(s, 430227734, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1155
1156law kr47_correct:
1157  for +q: Nat
1158  for +x0: U32
1159  for +x1: U32
1160  for +x2: U32
1161  for +x3: U32
1162  for +x4: U32
1163  for +x5: U32
1164  for +x6: U32
1165  for +x7: U32
1166  for +x8: U32
1167  for +x9: U32
1168  for +x10: U32
1169  for +x11: U32
1170  for +x12: U32
1171  for +x13: U32
1172  for +x14: U32
1173  for +x15: U32
1174  for +s: S.State
1175  {Runtime.kr47(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1176    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1177
1178def kr47_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1179  match q:
1180    case 0n:
1181      {==}
1182    case 1n+z:
1183      kr48_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1184        Runtime.step(s, 275423344, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1185
1186law kr46_correct:
1187  for +q: Nat
1188  for +x0: U32
1189  for +x1: U32
1190  for +x2: U32
1191  for +x3: U32
1192  for +x4: U32
1193  for +x5: U32
1194  for +x6: U32
1195  for +x7: U32
1196  for +x8: U32
1197  for +x9: U32
1198  for +x10: U32
1199  for +x11: U32
1200  for +x12: U32
1201  for +x13: U32
1202  for +x14: U32
1203  for +x15: U32
1204  for +s: S.State
1205  {Runtime.kr46(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1206    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1207
1208def kr46_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1209  match q:
1210    case 0n:
1211      {==}
1212    case 1n+z:
1213      kr47_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1214        Runtime.step(s, 4094571909, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1215
1216law kr45_correct:
1217  for +q: Nat
1218  for +x0: U32
1219  for +x1: U32
1220  for +x2: U32
1221  for +x3: U32
1222  for +x4: U32
1223  for +x5: U32
1224  for +x6: U32
1225  for +x7: U32
1226  for +x8: U32
1227  for +x9: U32
1228  for +x10: U32
1229  for +x11: U32
1230  for +x12: U32
1231  for +x13: U32
1232  for +x14: U32
1233  for +x15: U32
1234  for +s: S.State
1235  {Runtime.kr45(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1236    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1237
1238def kr45_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1239  match q:
1240    case 0n:
1241      {==}
1242    case 1n+z:
1243      kr46_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1244        Runtime.step(s, 3600352804, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1245
1246law kr44_correct:
1247  for +q: Nat
1248  for +x0: U32
1249  for +x1: U32
1250  for +x2: U32
1251  for +x3: U32
1252  for +x4: U32
1253  for +x5: U32
1254  for +x6: U32
1255  for +x7: U32
1256  for +x8: U32
1257  for +x9: U32
1258  for +x10: U32
1259  for +x11: U32
1260  for +x12: U32
1261  for +x13: U32
1262  for +x14: U32
1263  for +x15: U32
1264  for +s: S.State
1265  {Runtime.kr44(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1266    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1267
1268def kr44_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1269  match q:
1270    case 0n:
1271      {==}
1272    case 1n+z:
1273      kr45_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1274        Runtime.step(s, 3516065817, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1275
1276law kr43_correct:
1277  for +q: Nat
1278  for +x0: U32
1279  for +x1: U32
1280  for +x2: U32
1281  for +x3: U32
1282  for +x4: U32
1283  for +x5: U32
1284  for +x6: U32
1285  for +x7: U32
1286  for +x8: U32
1287  for +x9: U32
1288  for +x10: U32
1289  for +x11: U32
1290  for +x12: U32
1291  for +x13: U32
1292  for +x14: U32
1293  for +x15: U32
1294  for +s: S.State
1295  {Runtime.kr43(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1296    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1297
1298def kr43_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1299  match q:
1300    case 0n:
1301      {==}
1302    case 1n+z:
1303      kr44_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1304        Runtime.step(s, 3345764771, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1305
1306law kr42_correct:
1307  for +q: Nat
1308  for +x0: U32
1309  for +x1: U32
1310  for +x2: U32
1311  for +x3: U32
1312  for +x4: U32
1313  for +x5: U32
1314  for +x6: U32
1315  for +x7: U32
1316  for +x8: U32
1317  for +x9: U32
1318  for +x10: U32
1319  for +x11: U32
1320  for +x12: U32
1321  for +x13: U32
1322  for +x14: U32
1323  for +x15: U32
1324  for +s: S.State
1325  {Runtime.kr42(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1326    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1327
1328def kr42_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1329  match q:
1330    case 0n:
1331      {==}
1332    case 1n+z:
1333      kr43_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1334        Runtime.step(s, 3259730800, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1335
1336law kr41_correct:
1337  for +q: Nat
1338  for +x0: U32
1339  for +x1: U32
1340  for +x2: U32
1341  for +x3: U32
1342  for +x4: U32
1343  for +x5: U32
1344  for +x6: U32
1345  for +x7: U32
1346  for +x8: U32
1347  for +x9: U32
1348  for +x10: U32
1349  for +x11: U32
1350  for +x12: U32
1351  for +x13: U32
1352  for +x14: U32
1353  for +x15: U32
1354  for +s: S.State
1355  {Runtime.kr41(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1356    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1357
1358def kr41_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1359  match q:
1360    case 0n:
1361      {==}
1362    case 1n+z:
1363      kr42_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1364        Runtime.step(s, 2820302411, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1365
1366law kr40_correct:
1367  for +q: Nat
1368  for +x0: U32
1369  for +x1: U32
1370  for +x2: U32
1371  for +x3: U32
1372  for +x4: U32
1373  for +x5: U32
1374  for +x6: U32
1375  for +x7: U32
1376  for +x8: U32
1377  for +x9: U32
1378  for +x10: U32
1379  for +x11: U32
1380  for +x12: U32
1381  for +x13: U32
1382  for +x14: U32
1383  for +x15: U32
1384  for +s: S.State
1385  {Runtime.kr40(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1386    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1387
1388def kr40_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1389  match q:
1390    case 0n:
1391      {==}
1392    case 1n+z:
1393      kr41_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1394        Runtime.step(s, 2730485921, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1395
1396law kr39_correct:
1397  for +q: Nat
1398  for +x0: U32
1399  for +x1: U32
1400  for +x2: U32
1401  for +x3: U32
1402  for +x4: U32
1403  for +x5: U32
1404  for +x6: U32
1405  for +x7: U32
1406  for +x8: U32
1407  for +x9: U32
1408  for +x10: U32
1409  for +x11: U32
1410  for +x12: U32
1411  for +x13: U32
1412  for +x14: U32
1413  for +x15: U32
1414  for +s: S.State
1415  {Runtime.kr39(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1416    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1417
1418def kr39_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1419  match q:
1420    case 0n:
1421      {==}
1422    case 1n+z:
1423      kr40_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1424        Runtime.step(s, 2456956037, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1425
1426law kr38_correct:
1427  for +q: Nat
1428  for +x0: U32
1429  for +x1: U32
1430  for +x2: U32
1431  for +x3: U32
1432  for +x4: U32
1433  for +x5: U32
1434  for +x6: U32
1435  for +x7: U32
1436  for +x8: U32
1437  for +x9: U32
1438  for +x10: U32
1439  for +x11: U32
1440  for +x12: U32
1441  for +x13: U32
1442  for +x14: U32
1443  for +x15: U32
1444  for +s: S.State
1445  {Runtime.kr38(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1446    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1447
1448def kr38_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1449  match q:
1450    case 0n:
1451      {==}
1452    case 1n+z:
1453      kr39_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1454        Runtime.step(s, 2177026350, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1455
1456law kr37_correct:
1457  for +q: Nat
1458  for +x0: U32
1459  for +x1: U32
1460  for +x2: U32
1461  for +x3: U32
1462  for +x4: U32
1463  for +x5: U32
1464  for +x6: U32
1465  for +x7: U32
1466  for +x8: U32
1467  for +x9: U32
1468  for +x10: U32
1469  for +x11: U32
1470  for +x12: U32
1471  for +x13: U32
1472  for +x14: U32
1473  for +x15: U32
1474  for +s: S.State
1475  {Runtime.kr37(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1476    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1477
1478def kr37_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1479  match q:
1480    case 0n:
1481      {==}
1482    case 1n+z:
1483      kr38_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1484        Runtime.step(s, 1986661051, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1485
1486law kr36_correct:
1487  for +q: Nat
1488  for +x0: U32
1489  for +x1: U32
1490  for +x2: U32
1491  for +x3: U32
1492  for +x4: U32
1493  for +x5: U32
1494  for +x6: U32
1495  for +x7: U32
1496  for +x8: U32
1497  for +x9: U32
1498  for +x10: U32
1499  for +x11: U32
1500  for +x12: U32
1501  for +x13: U32
1502  for +x14: U32
1503  for +x15: U32
1504  for +s: S.State
1505  {Runtime.kr36(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1506    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1507
1508def kr36_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1509  match q:
1510    case 0n:
1511      {==}
1512    case 1n+z:
1513      kr37_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1514        Runtime.step(s, 1695183700, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1515
1516law kr35_correct:
1517  for +q: Nat
1518  for +x0: U32
1519  for +x1: U32
1520  for +x2: U32
1521  for +x3: U32
1522  for +x4: U32
1523  for +x5: U32
1524  for +x6: U32
1525  for +x7: U32
1526  for +x8: U32
1527  for +x9: U32
1528  for +x10: U32
1529  for +x11: U32
1530  for +x12: U32
1531  for +x13: U32
1532  for +x14: U32
1533  for +x15: U32
1534  for +s: S.State
1535  {Runtime.kr35(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1536    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1537
1538def kr35_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1539  match q:
1540    case 0n:
1541      {==}
1542    case 1n+z:
1543      kr36_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1544        Runtime.step(s, 1396182291, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1545
1546law kr34_correct:
1547  for +q: Nat
1548  for +x0: U32
1549  for +x1: U32
1550  for +x2: U32
1551  for +x3: U32
1552  for +x4: U32
1553  for +x5: U32
1554  for +x6: U32
1555  for +x7: U32
1556  for +x8: U32
1557  for +x9: U32
1558  for +x10: U32
1559  for +x11: U32
1560  for +x12: U32
1561  for +x13: U32
1562  for +x14: U32
1563  for +x15: U32
1564  for +s: S.State
1565  {Runtime.kr34(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1566    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1567
1568def kr34_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1569  match q:
1570    case 0n:
1571      {==}
1572    case 1n+z:
1573      kr35_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1574        Runtime.step(s, 1294757372, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1575
1576law kr33_correct:
1577  for +q: Nat
1578  for +x0: U32
1579  for +x1: U32
1580  for +x2: U32
1581  for +x3: U32
1582  for +x4: U32
1583  for +x5: U32
1584  for +x6: U32
1585  for +x7: U32
1586  for +x8: U32
1587  for +x9: U32
1588  for +x10: U32
1589  for +x11: U32
1590  for +x12: U32
1591  for +x13: U32
1592  for +x14: U32
1593  for +x15: U32
1594  for +s: S.State
1595  {Runtime.kr33(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1596    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1597
1598def kr33_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1599  match q:
1600    case 0n:
1601      {==}
1602    case 1n+z:
1603      kr34_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1604        Runtime.step(s, 773529912, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1605
1606law kr32_correct:
1607  for +q: Nat
1608  for +x0: U32
1609  for +x1: U32
1610  for +x2: U32
1611  for +x3: U32
1612  for +x4: U32
1613  for +x5: U32
1614  for +x6: U32
1615  for +x7: U32
1616  for +x8: U32
1617  for +x9: U32
1618  for +x10: U32
1619  for +x11: U32
1620  for +x12: U32
1621  for +x13: U32
1622  for +x14: U32
1623  for +x15: U32
1624  for +s: S.State
1625  {Runtime.kr32(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1626    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1627
1628def kr32_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1629  match q:
1630    case 0n:
1631      {==}
1632    case 1n+z:
1633      kr33_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1634        Runtime.step(s, 666307205, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1635
1636law kr31_correct:
1637  for +q: Nat
1638  for +x0: U32
1639  for +x1: U32
1640  for +x2: U32
1641  for +x3: U32
1642  for +x4: U32
1643  for +x5: U32
1644  for +x6: U32
1645  for +x7: U32
1646  for +x8: U32
1647  for +x9: U32
1648  for +x10: U32
1649  for +x11: U32
1650  for +x12: U32
1651  for +x13: U32
1652  for +x14: U32
1653  for +x15: U32
1654  for +s: S.State
1655  {Runtime.kr31(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1656    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1657
1658def kr31_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1659  match q:
1660    case 0n:
1661      {==}
1662    case 1n+z:
1663      kr32_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1664        Runtime.step(s, 338241895, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1665
1666law kr30_correct:
1667  for +q: Nat
1668  for +x0: U32
1669  for +x1: U32
1670  for +x2: U32
1671  for +x3: U32
1672  for +x4: U32
1673  for +x5: U32
1674  for +x6: U32
1675  for +x7: U32
1676  for +x8: U32
1677  for +x9: U32
1678  for +x10: U32
1679  for +x11: U32
1680  for +x12: U32
1681  for +x13: U32
1682  for +x14: U32
1683  for +x15: U32
1684  for +s: S.State
1685  {Runtime.kr30(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1686    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1687
1688def kr30_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1689  match q:
1690    case 0n:
1691      {==}
1692    case 1n+z:
1693      kr31_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1694        Runtime.step(s, 113926993, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1695
1696law kr29_correct:
1697  for +q: Nat
1698  for +x0: U32
1699  for +x1: U32
1700  for +x2: U32
1701  for +x3: U32
1702  for +x4: U32
1703  for +x5: U32
1704  for +x6: U32
1705  for +x7: U32
1706  for +x8: U32
1707  for +x9: U32
1708  for +x10: U32
1709  for +x11: U32
1710  for +x12: U32
1711  for +x13: U32
1712  for +x14: U32
1713  for +x15: U32
1714  for +s: S.State
1715  {Runtime.kr29(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1716    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1717
1718def kr29_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1719  match q:
1720    case 0n:
1721      {==}
1722    case 1n+z:
1723      kr30_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1724        Runtime.step(s, 3584528711, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1725
1726law kr28_correct:
1727  for +q: Nat
1728  for +x0: U32
1729  for +x1: U32
1730  for +x2: U32
1731  for +x3: U32
1732  for +x4: U32
1733  for +x5: U32
1734  for +x6: U32
1735  for +x7: U32
1736  for +x8: U32
1737  for +x9: U32
1738  for +x10: U32
1739  for +x11: U32
1740  for +x12: U32
1741  for +x13: U32
1742  for +x14: U32
1743  for +x15: U32
1744  for +s: S.State
1745  {Runtime.kr28(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1746    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1747
1748def kr28_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1749  match q:
1750    case 0n:
1751      {==}
1752    case 1n+z:
1753      kr29_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1754        Runtime.step(s, 3336571891, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1755
1756law kr27_correct:
1757  for +q: Nat
1758  for +x0: U32
1759  for +x1: U32
1760  for +x2: U32
1761  for +x3: U32
1762  for +x4: U32
1763  for +x5: U32
1764  for +x6: U32
1765  for +x7: U32
1766  for +x8: U32
1767  for +x9: U32
1768  for +x10: U32
1769  for +x11: U32
1770  for +x12: U32
1771  for +x13: U32
1772  for +x14: U32
1773  for +x15: U32
1774  for +s: S.State
1775  {Runtime.kr27(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1776    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1777
1778def kr27_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1779  match q:
1780    case 0n:
1781      {==}
1782    case 1n+z:
1783      kr28_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1784        Runtime.step(s, 3210313671, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1785
1786law kr26_correct:
1787  for +q: Nat
1788  for +x0: U32
1789  for +x1: U32
1790  for +x2: U32
1791  for +x3: U32
1792  for +x4: U32
1793  for +x5: U32
1794  for +x6: U32
1795  for +x7: U32
1796  for +x8: U32
1797  for +x9: U32
1798  for +x10: U32
1799  for +x11: U32
1800  for +x12: U32
1801  for +x13: U32
1802  for +x14: U32
1803  for +x15: U32
1804  for +s: S.State
1805  {Runtime.kr26(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1806    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1807
1808def kr26_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1809  match q:
1810    case 0n:
1811      {==}
1812    case 1n+z:
1813      kr27_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1814        Runtime.step(s, 2952996808, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1815
1816law kr25_correct:
1817  for +q: Nat
1818  for +x0: U32
1819  for +x1: U32
1820  for +x2: U32
1821  for +x3: U32
1822  for +x4: U32
1823  for +x5: U32
1824  for +x6: U32
1825  for +x7: U32
1826  for +x8: U32
1827  for +x9: U32
1828  for +x10: U32
1829  for +x11: U32
1830  for +x12: U32
1831  for +x13: U32
1832  for +x14: U32
1833  for +x15: U32
1834  for +s: S.State
1835  {Runtime.kr25(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1836    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1837
1838def kr25_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1839  match q:
1840    case 0n:
1841      {==}
1842    case 1n+z:
1843      kr26_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1844        Runtime.step(s, 2821834349, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1845
1846law kr24_correct:
1847  for +q: Nat
1848  for +x0: U32
1849  for +x1: U32
1850  for +x2: U32
1851  for +x3: U32
1852  for +x4: U32
1853  for +x5: U32
1854  for +x6: U32
1855  for +x7: U32
1856  for +x8: U32
1857  for +x9: U32
1858  for +x10: U32
1859  for +x11: U32
1860  for +x12: U32
1861  for +x13: U32
1862  for +x14: U32
1863  for +x15: U32
1864  for +s: S.State
1865  {Runtime.kr24(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1866    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1867
1868def kr24_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1869  match q:
1870    case 0n:
1871      {==}
1872    case 1n+z:
1873      kr25_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1874        Runtime.step(s, 2554220882, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1875
1876law kr23_correct:
1877  for +q: Nat
1878  for +x0: U32
1879  for +x1: U32
1880  for +x2: U32
1881  for +x3: U32
1882  for +x4: U32
1883  for +x5: U32
1884  for +x6: U32
1885  for +x7: U32
1886  for +x8: U32
1887  for +x9: U32
1888  for +x10: U32
1889  for +x11: U32
1890  for +x12: U32
1891  for +x13: U32
1892  for +x14: U32
1893  for +x15: U32
1894  for +s: S.State
1895  {Runtime.kr23(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1896    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1897
1898def kr23_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1899  match q:
1900    case 0n:
1901      {==}
1902    case 1n+z:
1903      kr24_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1904        Runtime.step(s, 1996064986, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1905
1906law kr22_correct:
1907  for +q: Nat
1908  for +x0: U32
1909  for +x1: U32
1910  for +x2: U32
1911  for +x3: U32
1912  for +x4: U32
1913  for +x5: U32
1914  for +x6: U32
1915  for +x7: U32
1916  for +x8: U32
1917  for +x9: U32
1918  for +x10: U32
1919  for +x11: U32
1920  for +x12: U32
1921  for +x13: U32
1922  for +x14: U32
1923  for +x15: U32
1924  for +s: S.State
1925  {Runtime.kr22(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1926    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1555081692, 1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1927
1928def kr22_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1929  match q:
1930    case 0n:
1931      {==}
1932    case 1n+z:
1933      kr23_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1934        Runtime.step(s, 1555081692, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1935
1936law kr21_correct:
1937  for +q: Nat
1938  for +x0: U32
1939  for +x1: U32
1940  for +x2: U32
1941  for +x3: U32
1942  for +x4: U32
1943  for +x5: U32
1944  for +x6: U32
1945  for +x7: U32
1946  for +x8: U32
1947  for +x9: U32
1948  for +x10: U32
1949  for +x11: U32
1950  for +x12: U32
1951  for +x13: U32
1952  for +x14: U32
1953  for +x15: U32
1954  for +s: S.State
1955  {Runtime.kr21(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1956    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [1249150122, 1555081692, 1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1957
1958def kr21_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1959  match q:
1960    case 0n:
1961      {==}
1962    case 1n+z:
1963      kr22_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1964        Runtime.step(s, 1249150122, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1965
1966law kr20_correct:
1967  for +q: Nat
1968  for +x0: U32
1969  for +x1: U32
1970  for +x2: U32
1971  for +x3: U32
1972  for +x4: U32
1973  for +x5: U32
1974  for +x6: U32
1975  for +x7: U32
1976  for +x8: U32
1977  for +x9: U32
1978  for +x10: U32
1979  for +x11: U32
1980  for +x12: U32
1981  for +x13: U32
1982  for +x14: U32
1983  for +x15: U32
1984  for +s: S.State
1985  {Runtime.kr20(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
1986    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [770255983, 1249150122, 1555081692, 1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
1987
1988def kr20_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
1989  match q:
1990    case 0n:
1991      {==}
1992    case 1n+z:
1993      kr21_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
1994        Runtime.step(s, 770255983, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
1995
1996law kr19_correct:
1997  for +q: Nat
1998  for +x0: U32
1999  for +x1: U32
2000  for +x2: U32
2001  for +x3: U32
2002  for +x4: U32
2003  for +x5: U32
2004  for +x6: U32
2005  for +x7: U32
2006  for +x8: U32
2007  for +x9: U32
2008  for +x10: U32
2009  for +x11: U32
2010  for +x12: U32
2011  for +x13: U32
2012  for +x14: U32
2013  for +x15: U32
2014  for +s: S.State
2015  {Runtime.kr19(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
2016    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [604807628, 770255983, 1249150122, 1555081692, 1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
2017
2018def kr19_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
2019  match q:
2020    case 0n:
2021      {==}
2022    case 1n+z:
2023      kr20_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
2024        Runtime.step(s, 604807628, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
2025
2026law kr18_correct:
2027  for +q: Nat
2028  for +x0: U32
2029  for +x1: U32
2030  for +x2: U32
2031  for +x3: U32
2032  for +x4: U32
2033  for +x5: U32
2034  for +x6: U32
2035  for +x7: U32
2036  for +x8: U32
2037  for +x9: U32
2038  for +x10: U32
2039  for +x11: U32
2040  for +x12: U32
2041  for +x13: U32
2042  for +x14: U32
2043  for +x15: U32
2044  for +s: S.State
2045  {Runtime.kr18(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
2046    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [264347078, 604807628, 770255983, 1249150122, 1555081692, 1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
2047
2048def kr18_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
2049  match q:
2050    case 0n:
2051      {==}
2052    case 1n+z:
2053      kr19_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
2054        Runtime.step(s, 264347078, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
2055
2056law kr17_correct:
2057  for +q: Nat
2058  for +x0: U32
2059  for +x1: U32
2060  for +x2: U32
2061  for +x3: U32
2062  for +x4: U32
2063  for +x5: U32
2064  for +x6: U32
2065  for +x7: U32
2066  for +x8: U32
2067  for +x9: U32
2068  for +x10: U32
2069  for +x11: U32
2070  for +x12: U32
2071  for +x13: U32
2072  for +x14: U32
2073  for +x15: U32
2074  for +s: S.State
2075  {Runtime.kr17(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
2076    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [4022224774, 264347078, 604807628, 770255983, 1249150122, 1555081692, 1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
2077
2078def kr17_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
2079  match q:
2080    case 0n:
2081      {==}
2082    case 1n+z:
2083      kr18_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
2084        Runtime.step(s, 4022224774, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
2085
2086law kr16_correct:
2087  for +q: Nat
2088  for +x0: U32
2089  for +x1: U32
2090  for +x2: U32
2091  for +x3: U32
2092  for +x4: U32
2093  for +x5: U32
2094  for +x6: U32
2095  for +x7: U32
2096  for +x8: U32
2097  for +x9: U32
2098  for +x10: U32
2099  for +x11: U32
2100  for +x12: U32
2101  for +x13: U32
2102  for +x14: U32
2103  for +x15: U32
2104  for +s: S.State
2105  {Runtime.kr16(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, s) ==
2106    C.window_rounds(q, Runtime.W{x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15}, [3835390401, 4022224774, 264347078, 604807628, 770255983, 1249150122, 1555081692, 1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s) : S.State}
2107
2108def kr16_correct(q, x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, s):
2109  match q:
2110    case 0n:
2111      {==}
2112    case 1n+z:
2113      kr17_correct(z, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32), x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14,
2114        Runtime.step(s, 3835390401, (Runtime.small1(x1) + x6 + Runtime.small0(x14) + x15 : U32)))
2115
2116law fips16_correct:
2117  for +a: U32
2118  for +b: U32
2119  for +c: U32
2120  for +d: U32
2121  for +e: U32
2122  for +f: U32
2123  for +g: U32
2124  for +h: U32
2125  for +i: U32
2126  for +j: U32
2127  for +k: U32
2128  for +l: U32
2129  for +m: U32
2130  for +n: U32
2131  for +o: U32
2132  for +p: U32
2133  for +q: Nat
2134  for +s: S.State
2135  {Runtime.fips_compress16(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, s) ==
2136    C.window_compress16(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, C.round_constants(), s) : S.State}
2137
2138def fips16_correct(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, s):
2139  +s16 = Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(Runtime.step(s, 1116352408, a), 1899447441, b), 3049323471, c), 3921009573, d), 961987163, e), 1508970993, f), 2453635748, g), 2870763221, h), 3624381080, i), 310598401, j), 607225278, k), 1426881987, l), 1925078388, m), 2162078206, n), 2614888103, o), 3248222580, p)
2140  Equal.cong(S.State, S.State, y => Runtime.feedforward(s, y),
2141    Runtime.kr16(q, Runtime.W{p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a}, s16),
2142    C.window_rounds(q, Runtime.W{p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a}, [3835390401, 4022224774, 264347078, 604807628, 770255983, 1249150122, 1555081692, 1996064986, 2554220882, 2821834349, 2952996808, 3210313671, 3336571891, 3584528711, 113926993, 338241895, 666307205, 773529912, 1294757372, 1396182291, 1695183700, 1986661051, 2177026350, 2456956037, 2730485921, 2820302411, 3259730800, 3345764771, 3516065817, 3600352804, 4094571909, 275423344, 430227734, 506948616, 659060556, 883997877, 958139571, 1322822218, 1537002063, 1747873779, 1955562222, 2024104815, 2227730452, 2361852424, 2428436474, 2756734187, 3204031479, 3329325298], s16),
2143    kr16_correct(q, p, o, n, m, l, k, j, i, h, g, f, e, d, c, b, a, s16))
2144
2145# Streaming refines the generic block decoder, instantiated with the FIPS
2146# table, applied to the padded message. After a complete block the count grows
2147# by 64 exactly as the remaining length shrinks. For a short tail, count = 64k
2148# fixes n mod 64 to the tail length, so the modular zero count is concrete and
2149# finish_go packs the same 64 or 128 bytes that block_bytes decodes.
2150law stream_correct:
2151  for +bytes: List<&2, U32>
2152  for +k: Nat
2153  for +extra: Nat
2154  for +s: S.State
2155  {C.stream(bytes, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, bytes,
2156    C.suffix(Nat.add(List.length(&2, U32, bytes), mul64(k)))), extra, C.round_constants(), s) : S.State}
2157
2158def stream_correct(bytes, k, extra, s):
2159  match bytes:
2160    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> b63 <> rest:
2161      +fast = Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, b63), extra, s)
2162      %fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, b63), extra, s) :
2163        {C.stream(rest, mul64(1n+k), extra, fast) == C.block_bytes(List.append(&2, U32, rest,
2164          C.suffix(Nat.add(64n, Nat.add(List.length(&2, U32, rest), mul64(k))))), extra, C.round_constants(), _) : S.State}
2165      %L.add_swap(List.length(&2, U32, rest), 64n, mul64(k)) :
2166        {C.stream(rest, mul64(1n+k), extra, fast) == C.block_bytes(List.append(&2, U32, rest,
2167          C.suffix(_)), extra, C.round_constants(), fast) : S.State}
2168      stream_correct(rest, 1n+k, extra, fast)
2169    case Nil{}:
2170      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, Nil{}), mul64(k)), 64n),
2171        Nat.mod(List.length(&2, U32, Nil{}), 64n),
2172        mod_tail(List.length(&2, U32, Nil{}), k)) :
2173        {C.stream(Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, Nil{},
2174          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2175            C.bit_length(Nat.add(List.length(&2, U32, Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2176      fips16_correct(Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, Nil{}), mul64(k))), extra, s)
2177    case b0 <> Nil{}:
2178      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> Nil{}), mul64(k)), 64n),
2179        Nat.mod(List.length(&2, U32, b0 <> Nil{}), 64n),
2180        mod_tail(List.length(&2, U32, b0 <> Nil{}), k)) :
2181        {C.stream(b0 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> Nil{},
2182          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2183            C.bit_length(Nat.add(List.length(&2, U32, b0 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2184      fips16_correct(Runtime.pack(b0, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> Nil{}), mul64(k))), extra, s)
2185    case b0 <> b1 <> Nil{}:
2186      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> Nil{}), mul64(k)), 64n),
2187        Nat.mod(List.length(&2, U32, b0 <> b1 <> Nil{}), 64n),
2188        mod_tail(List.length(&2, U32, b0 <> b1 <> Nil{}), k)) :
2189        {C.stream(b0 <> b1 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> Nil{},
2190          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2191            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2192      fips16_correct(Runtime.pack(b0, b1, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> Nil{}), mul64(k))), extra, s)
2193    case b0 <> b1 <> b2 <> Nil{}:
2194      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> Nil{}), mul64(k)), 64n),
2195        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> Nil{}), 64n),
2196        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> Nil{}), k)) :
2197        {C.stream(b0 <> b1 <> b2 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> Nil{},
2198          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2199            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2200      fips16_correct(Runtime.pack(b0, b1, b2, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> Nil{}), mul64(k))), extra, s)
2201    case b0 <> b1 <> b2 <> b3 <> Nil{}:
2202      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> Nil{}), mul64(k)), 64n),
2203        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> Nil{}), 64n),
2204        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> Nil{}), k)) :
2205        {C.stream(b0 <> b1 <> b2 <> b3 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> Nil{},
2206          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2207            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2208      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> Nil{}), mul64(k))), extra, s)
2209    case b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}:
2210      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}), mul64(k)), 64n),
2211        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}), 64n),
2212        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}), k)) :
2213        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> Nil{},
2214          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2215            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2216      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}), mul64(k))), extra, s)
2217    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}:
2218      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}), mul64(k)), 64n),
2219        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}), 64n),
2220        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}), k)) :
2221        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{},
2222          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2223            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2224      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}), mul64(k))), extra, s)
2225    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}:
2226      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}), mul64(k)), 64n),
2227        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}), 64n),
2228        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}), k)) :
2229        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{},
2230          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2231            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2232      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}), mul64(k))), extra, s)
2233    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}:
2234      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}), mul64(k)), 64n),
2235        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}), 64n),
2236        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}), k)) :
2237        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{},
2238          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2239            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2240      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}), mul64(k))), extra, s)
2241    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}:
2242      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}), mul64(k)), 64n),
2243        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}), 64n),
2244        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}), k)) :
2245        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{},
2246          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2247            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2248      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}), mul64(k))), extra, s)
2249    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}:
2250      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}), mul64(k)), 64n),
2251        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}), 64n),
2252        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}), k)) :
2253        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{},
2254          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2255            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2256      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}), mul64(k))), extra, s)
2257    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}:
2258      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}), mul64(k)), 64n),
2259        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}), 64n),
2260        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}), k)) :
2261        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{},
2262          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2263            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2264      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}), mul64(k))), extra, s)
2265    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}:
2266      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}), mul64(k)), 64n),
2267        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}), 64n),
2268        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}), k)) :
2269        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{},
2270          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2271            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2272      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}), mul64(k))), extra, s)
2273    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}:
2274      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}), mul64(k)), 64n),
2275        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}), 64n),
2276        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}), k)) :
2277        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{},
2278          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2279            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2280      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}), mul64(k))), extra, s)
2281    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}:
2282      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}), mul64(k)), 64n),
2283        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}), 64n),
2284        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}), k)) :
2285        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{},
2286          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2287            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2288      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}), mul64(k))), extra, s)
2289    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}:
2290      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}), mul64(k)), 64n),
2291        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}), 64n),
2292        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}), k)) :
2293        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{},
2294          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2295            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2296      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}), mul64(k))), extra, s)
2297    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}:
2298      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}), mul64(k)), 64n),
2299        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}), 64n),
2300        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}), k)) :
2301        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{},
2302          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2303            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2304      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}), mul64(k))), extra, s)
2305    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}:
2306      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}), mul64(k)), 64n),
2307        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}), 64n),
2308        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}), k)) :
2309        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{},
2310          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2311            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2312      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}), mul64(k))), extra, s)
2313    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}:
2314      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}), mul64(k)), 64n),
2315        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}), 64n),
2316        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}), k)) :
2317        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{},
2318          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2319            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2320      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}), mul64(k))), extra, s)
2321    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}:
2322      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}), mul64(k)), 64n),
2323        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}), 64n),
2324        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}), k)) :
2325        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{},
2326          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2327            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2328      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}), mul64(k))), extra, s)
2329    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}:
2330      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}), mul64(k)), 64n),
2331        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}), 64n),
2332        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}), k)) :
2333        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{},
2334          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2335            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2336      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}), mul64(k))), extra, s)
2337    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}:
2338      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}), mul64(k)), 64n),
2339        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}), 64n),
2340        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}), k)) :
2341        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{},
2342          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2343            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2344      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}), mul64(k))), extra, s)
2345    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}:
2346      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}), mul64(k)), 64n),
2347        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}), 64n),
2348        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}), k)) :
2349        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{},
2350          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2351            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2352      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}), mul64(k))), extra, s)
2353    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}:
2354      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}), mul64(k)), 64n),
2355        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}), 64n),
2356        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}), k)) :
2357        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{},
2358          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2359            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2360      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> Nil{}), mul64(k))), extra, s)
2361    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}:
2362      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}), mul64(k)), 64n),
2363        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}), 64n),
2364        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}), k)) :
2365        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{},
2366          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2367            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2368      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> Nil{}), mul64(k))), extra, s)
2369    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}:
2370      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}), mul64(k)), 64n),
2371        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}), 64n),
2372        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}), k)) :
2373        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{},
2374          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2375            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2376      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> Nil{}), mul64(k))), extra, s)
2377    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}:
2378      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}), mul64(k)), 64n),
2379        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}), 64n),
2380        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}), k)) :
2381        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{},
2382          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2383            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2384      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> Nil{}), mul64(k))), extra, s)
2385    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}:
2386      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}), mul64(k)), 64n),
2387        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}), 64n),
2388        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}), k)) :
2389        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{},
2390          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2391            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2392      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> Nil{}), mul64(k))), extra, s)
2393    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}:
2394      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}), mul64(k)), 64n),
2395        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}), 64n),
2396        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}), k)) :
2397        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{},
2398          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2399            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2400      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> Nil{}), mul64(k))), extra, s)
2401    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}:
2402      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}), mul64(k)), 64n),
2403        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}), 64n),
2404        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}), k)) :
2405        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{},
2406          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2407            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2408      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> Nil{}), mul64(k))), extra, s)
2409    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}:
2410      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}), mul64(k)), 64n),
2411        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}), 64n),
2412        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}), k)) :
2413        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{},
2414          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2415            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2416      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> Nil{}), mul64(k))), extra, s)
2417    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}:
2418      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}), mul64(k)), 64n),
2419        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}), 64n),
2420        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}), k)) :
2421        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{},
2422          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2423            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2424      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> Nil{}), mul64(k))), extra, s)
2425    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}:
2426      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}), mul64(k)), 64n),
2427        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}), 64n),
2428        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}), k)) :
2429        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{},
2430          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2431            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2432      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> Nil{}), mul64(k))), extra, s)
2433    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}:
2434      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}), mul64(k)), 64n),
2435        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}), 64n),
2436        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}), k)) :
2437        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{},
2438          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2439            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2440      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> Nil{}), mul64(k))), extra, s)
2441    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}:
2442      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}), mul64(k)), 64n),
2443        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}), 64n),
2444        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}), k)) :
2445        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{},
2446          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2447            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2448      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> Nil{}), mul64(k))), extra, s)
2449    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}:
2450      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}), mul64(k)), 64n),
2451        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}), 64n),
2452        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}), k)) :
2453        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{},
2454          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2455            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2456      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> Nil{}), mul64(k))), extra, s)
2457    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}:
2458      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}), mul64(k)), 64n),
2459        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}), 64n),
2460        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}), k)) :
2461        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{},
2462          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2463            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2464      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> Nil{}), mul64(k))), extra, s)
2465    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}:
2466      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}), mul64(k)), 64n),
2467        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}), 64n),
2468        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}), k)) :
2469        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{},
2470          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2471            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2472      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> Nil{}), mul64(k))), extra, s)
2473    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}:
2474      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}), mul64(k)), 64n),
2475        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}), 64n),
2476        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}), k)) :
2477        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{},
2478          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2479            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2480      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> Nil{}), mul64(k))), extra, s)
2481    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}:
2482      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}), mul64(k)), 64n),
2483        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}), 64n),
2484        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}), k)) :
2485        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{},
2486          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2487            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2488      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> Nil{}), mul64(k))), extra, s)
2489    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}:
2490      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}), mul64(k)), 64n),
2491        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}), 64n),
2492        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}), k)) :
2493        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{},
2494          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2495            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2496      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> Nil{}), mul64(k))), extra, s)
2497    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}:
2498      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}), mul64(k)), 64n),
2499        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}), 64n),
2500        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}), k)) :
2501        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{},
2502          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2503            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2504      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> Nil{}), mul64(k))), extra, s)
2505    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}:
2506      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}), mul64(k)), 64n),
2507        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}), 64n),
2508        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}), k)) :
2509        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{},
2510          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2511            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2512      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> Nil{}), mul64(k))), extra, s)
2513    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}:
2514      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}), mul64(k)), 64n),
2515        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}), 64n),
2516        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}), k)) :
2517        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{},
2518          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2519            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2520      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> Nil{}), mul64(k))), extra, s)
2521    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}:
2522      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}), mul64(k)), 64n),
2523        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}), 64n),
2524        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}), k)) :
2525        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{},
2526          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2527            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2528      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> Nil{}), mul64(k))), extra, s)
2529    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}:
2530      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}), mul64(k)), 64n),
2531        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}), 64n),
2532        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}), k)) :
2533        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{},
2534          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2535            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2536      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> Nil{}), mul64(k))), extra, s)
2537    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}:
2538      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}), mul64(k)), 64n),
2539        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}), 64n),
2540        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}), k)) :
2541        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{},
2542          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2543            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2544      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> Nil{}), mul64(k))), extra, s)
2545    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}:
2546      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}), mul64(k)), 64n),
2547        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}), 64n),
2548        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}), k)) :
2549        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{},
2550          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2551            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2552      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, 128), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> Nil{}), mul64(k))), extra, s)
2553    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}:
2554      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}), mul64(k)), 64n),
2555        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}), 64n),
2556        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}), k)) :
2557        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{},
2558          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2559            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2560      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> Nil{}), mul64(k))), extra, s)
2561    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}:
2562      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}), mul64(k)), 64n),
2563        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}), 64n),
2564        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}), k)) :
2565        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{},
2566          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2567            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2568      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, 128, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> Nil{}), mul64(k))), extra, s)
2569    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}:
2570      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}), mul64(k)), 64n),
2571        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}), 64n),
2572        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}), k)) :
2573        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{},
2574          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2575            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2576      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, 128, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> Nil{}), mul64(k))), extra, s)
2577    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}:
2578      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}), mul64(k)), 64n),
2579        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}), 64n),
2580        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}), k)) :
2581        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{},
2582          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2583            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2584      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, 128), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> Nil{}), mul64(k))), extra, s)
2585    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}:
2586      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}), mul64(k)), 64n),
2587        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}), 64n),
2588        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}), k)) :
2589        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{},
2590          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2591            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2592      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(128, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> Nil{}), mul64(k))), extra, s)
2593    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}:
2594      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}), mul64(k)), 64n),
2595        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}), 64n),
2596        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}), k)) :
2597        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{},
2598          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2599            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2600      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, 128, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> Nil{}), mul64(k))), extra, s)
2601    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}:
2602      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}), mul64(k)), 64n),
2603        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}), 64n),
2604        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}), k)) :
2605        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{},
2606          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2607            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2608      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, 128, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> Nil{}), mul64(k))), extra, s)
2609    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}:
2610      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}), mul64(k)), 64n),
2611        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}), 64n),
2612        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}), k)) :
2613        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{},
2614          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2615            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2616      fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, 128), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> Nil{}), mul64(k))), extra, s)
2617    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}:
2618      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k)), 64n),
2619        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), 64n),
2620        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), k)) :
2621        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{},
2622          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2623            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2624      Equal.trans(S.State,
2625        Runtime.fips_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s)),
2626        C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), extra, C.round_constants(), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s)),
2627        C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), extra, C.round_constants(), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), extra, C.round_constants(), s)),
2628        fips16_correct(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s)),
2629        Equal.cong(S.State, S.State, y => C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> Nil{}), mul64(k))), extra, C.round_constants(), y),
2630          Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), extra, C.round_constants(), s),
2631          fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(128, 0, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s)))
2632    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}:
2633      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k)), 64n),
2634        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), 64n),
2635        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), k)) :
2636        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{},
2637          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2638            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2639      Equal.trans(S.State,
2640        Runtime.fips_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, 128, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s)),
2641        C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), extra, C.round_constants(), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, 128, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s)),
2642        C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), extra, C.round_constants(), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, 128, 0, 0), Runtime.pack(0, 0, 0, 0), extra, C.round_constants(), s)),
2643        fips16_correct(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, 128, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s)),
2644        Equal.cong(S.State, S.State, y => C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> Nil{}), mul64(k))), extra, C.round_constants(), y),
2645          Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, 128, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, 128, 0, 0), Runtime.pack(0, 0, 0, 0), extra, C.round_constants(), s),
2646          fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, 128, 0, 0), Runtime.pack(0, 0, 0, 0), extra, s)))
2647    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}:
2648      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k)), 64n),
2649        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), 64n),
2650        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), k)) :
2651        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{},
2652          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2653            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2654      Equal.trans(S.State,
2655        Runtime.fips_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, 128, 0), Runtime.pack(0, 0, 0, 0), extra, s)),
2656        C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), extra, C.round_constants(), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, 128, 0), Runtime.pack(0, 0, 0, 0), extra, s)),
2657        C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), extra, C.round_constants(), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, 128, 0), Runtime.pack(0, 0, 0, 0), extra, C.round_constants(), s)),
2658        fips16_correct(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, 128, 0), Runtime.pack(0, 0, 0, 0), extra, s)),
2659        Equal.cong(S.State, S.State, y => C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> Nil{}), mul64(k))), extra, C.round_constants(), y),
2660          Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, 128, 0), Runtime.pack(0, 0, 0, 0), extra, s), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, 128, 0), Runtime.pack(0, 0, 0, 0), extra, C.round_constants(), s),
2661          fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, 128, 0), Runtime.pack(0, 0, 0, 0), extra, s)))
2662    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}:
2663      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k)), 64n),
2664        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), 64n),
2665        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), k)) :
2666        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{},
2667          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2668            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2669      Equal.trans(S.State,
2670        Runtime.fips_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, 128), Runtime.pack(0, 0, 0, 0), extra, s)),
2671        C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), extra, C.round_constants(), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, 128), Runtime.pack(0, 0, 0, 0), extra, s)),
2672        C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), extra, C.round_constants(), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, 128), Runtime.pack(0, 0, 0, 0), extra, C.round_constants(), s)),
2673        fips16_correct(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, 128), Runtime.pack(0, 0, 0, 0), extra, s)),
2674        Equal.cong(S.State, S.State, y => C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> Nil{}), mul64(k))), extra, C.round_constants(), y),
2675          Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, 128), Runtime.pack(0, 0, 0, 0), extra, s), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, 128), Runtime.pack(0, 0, 0, 0), extra, C.round_constants(), s),
2676          fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, 128), Runtime.pack(0, 0, 0, 0), extra, s)))
2677    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}:
2678      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k)), 64n),
2679        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), 64n),
2680        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), k)) :
2681        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{},
2682          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2683            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2684      Equal.trans(S.State,
2685        Runtime.fips_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(128, 0, 0, 0), extra, s)),
2686        C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), extra, C.round_constants(), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(128, 0, 0, 0), extra, s)),
2687        C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), extra, C.round_constants(), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(128, 0, 0, 0), extra, C.round_constants(), s)),
2688        fips16_correct(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(128, 0, 0, 0), extra, s)),
2689        Equal.cong(S.State, S.State, y => C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> Nil{}), mul64(k))), extra, C.round_constants(), y),
2690          Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(128, 0, 0, 0), extra, s), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(128, 0, 0, 0), extra, C.round_constants(), s),
2691          fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(128, 0, 0, 0), extra, s)))
2692    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}:
2693      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k)), 64n),
2694        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), 64n),
2695        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), k)) :
2696        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{},
2697          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2698            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2699      Equal.trans(S.State,
2700        Runtime.fips_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, 128, 0, 0), extra, s)),
2701        C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), extra, C.round_constants(), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, 128, 0, 0), extra, s)),
2702        C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), extra, C.round_constants(), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, 128, 0, 0), extra, C.round_constants(), s)),
2703        fips16_correct(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, 128, 0, 0), extra, s)),
2704        Equal.cong(S.State, S.State, y => C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> Nil{}), mul64(k))), extra, C.round_constants(), y),
2705          Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, 128, 0, 0), extra, s), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, 128, 0, 0), extra, C.round_constants(), s),
2706          fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, 128, 0, 0), extra, s)))
2707    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}:
2708      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k)), 64n),
2709        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), 64n),
2710        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), k)) :
2711        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{},
2712          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2713            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2714      Equal.trans(S.State,
2715        Runtime.fips_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, 128, 0), extra, s)),
2716        C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), extra, C.round_constants(), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, 128, 0), extra, s)),
2717        C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), extra, C.round_constants(), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, 128, 0), extra, C.round_constants(), s)),
2718        fips16_correct(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, 128, 0), extra, s)),
2719        Equal.cong(S.State, S.State, y => C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> Nil{}), mul64(k))), extra, C.round_constants(), y),
2720          Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, 128, 0), extra, s), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, 128, 0), extra, C.round_constants(), s),
2721          fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, 128, 0), extra, s)))
2722    case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}:
2723      %Equal.sym(Nat, Nat.mod(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k)), 64n),
2724        Nat.mod(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), 64n),
2725        mod_tail(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), k)) :
2726        {C.stream(b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}, mul64(k), extra, s) == C.block_bytes(List.append(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{},
2727          128 <> List.append(&2, U32, List.replicate(U32, Nat.mod(Nat.sub(119n, _), 64n), 0),
2728            C.bit_length(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))))), extra, C.round_constants(), s) : S.State}
2729      Equal.trans(S.State,
2730        Runtime.fips_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, 128), extra, s)),
2731        C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), extra, C.round_constants(), Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, 128), extra, s)),
2732        C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), extra, C.round_constants(), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, 128), extra, C.round_constants(), s)),
2733        fips16_correct(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), extra, Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, 128), extra, s)),
2734        Equal.cong(S.State, S.State, y => C.window_compress16(Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.pack(0, 0, 0, 0), Runtime.len_hi(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), Runtime.len_lo(Nat.add(List.length(&2, U32, b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> b22 <> b23 <> b24 <> b25 <> b26 <> b27 <> b28 <> b29 <> b30 <> b31 <> b32 <> b33 <> b34 <> b35 <> b36 <> b37 <> b38 <> b39 <> b40 <> b41 <> b42 <> b43 <> b44 <> b45 <> b46 <> b47 <> b48 <> b49 <> b50 <> b51 <> b52 <> b53 <> b54 <> b55 <> b56 <> b57 <> b58 <> b59 <> b60 <> b61 <> b62 <> Nil{}), mul64(k))), extra, C.round_constants(), y),
2735          Runtime.fips_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, 128), extra, s), C.window_compress16(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, 128), extra, C.round_constants(), s),
2736          fips16_correct(Runtime.pack(b0, b1, b2, b3), Runtime.pack(b4, b5, b6, b7), Runtime.pack(b8, b9, b10, b11), Runtime.pack(b12, b13, b14, b15), Runtime.pack(b16, b17, b18, b19), Runtime.pack(b20, b21, b22, b23), Runtime.pack(b24, b25, b26, b27), Runtime.pack(b28, b29, b30, b31), Runtime.pack(b32, b33, b34, b35), Runtime.pack(b36, b37, b38, b39), Runtime.pack(b40, b41, b42, b43), Runtime.pack(b44, b45, b46, b47), Runtime.pack(b48, b49, b50, b51), Runtime.pack(b52, b53, b54, b55), Runtime.pack(b56, b57, b58, b59), Runtime.pack(b60, b61, b62, 128), extra, s)))
2737
2738# Unlike the old theorem, there is NO arbitrary preprocessing parameter.
2739# This proves the actual implementation pipeline against the independent one.
2740law sha256_correct:
2741  for +bytes: List<&2, U32>
2742  {C.sha256(bytes) == F.hash(bytes, 48n, C.round_constants()) : List<&2, U32>}
2743
2744def sha256_correct(bytes):
2745  %suffix_correct(List.length(&2, U32, bytes)) :
2746    {C.sha256(bytes) == F.digest(F.blocks(F.schedules(F.words(
2747      List.append(&2, U32, bytes, _)), 48n), C.round_constants())(F.initial())) : List<&2, U32>}
2748  %L.add_zero(List.length(&2, U32, bytes)) :
2749    {C.sha256(bytes) == F.digest(F.blocks(F.schedules(F.words(
2750      List.append(&2, U32, bytes, C.suffix(_))), 48n), C.round_constants())(F.initial())) : List<&2, U32>}
2751  +padded = List.append(&2, U32, bytes, C.suffix(Nat.add(List.length(&2, U32, bytes), 0n)))
2752  %digest_correct(F.blocks(F.schedules(F.words(padded), 48n), C.round_constants())(F.initial())) :
2753    {C.sha256(bytes) == _ : List<&2, U32>}
2754  Equal.cong(S.State, List<&2, U32>, s => C.digest(s),
2755    C.stream(bytes, 0n, 48n, Runtime.initial()),
2756    F.blocks(F.schedules(F.words(padded), 48n), C.round_constants())(Runtime.initial()),
2757    Equal.trans(S.State, C.stream(bytes, 0n, 48n, Runtime.initial()),
2758      C.block_bytes(padded, 48n, C.round_constants(), Runtime.initial()),
2759      F.blocks(F.schedules(F.words(padded), 48n), C.round_constants())(Runtime.initial()),
2760      stream_correct(bytes, 0n, 48n, Runtime.initial()),
2761      block_bytes_correct(padded, 48n, C.round_constants(), Runtime.initial())))