1	# Generated by tools/generators/hash_gen.py; do not edit by hand.
2	import Base
3	import ../../../src/crypto/sha/state.bend as S256
4	import ../../../src/crypto/sha/core.bend as C256
5	import ../../../src/crypto/sha/sha256.bend as SHA256
6	import ../../../src/crypto/sha512/types.bend as T512
7	import ../../../src/crypto/sha512/core.bend as C512
8	import ../../../src/crypto/keccak/types.bend as TK
9	import ../../../src/crypto/keccak/permutation.bend as P
10	import ../../../src/crypto/sha3/core.bend as C3
11	import ../../../src/crypto/hash.bend as H
12	import ../sha/conformance.bend as SC
13	import ./lists.bend as L
14	
15	# The incremental hasher equals the one-shot hash for every split of the input
16	# (the invariant of HACL*'s Hacl.Streaming.Functor, without its ghost state):
17	# with G the algorithm's block loop over a byte list, a hasher whose state is
18	# (s, buf) after the chunks so far satisfies, for every continuation z,
19	#
20	#   G(chunks so far ++ z, initial) == G(buf ++ z, s).
21	#
22	# absorbX_inv: one call of the block reader keeps it; foldX_inv: every update
23	# keeps it; incrementalX: digest pads buf with the total length, which is the
24	# one-shot padding of the whole message (z = the padding). The round
25	# parameter q (48, 64, 24) stays a variable in every lemma that unfolds a block.
26	
27	# ---------------------------------------------------------------- SHA-256 (FIPS 180-4)
28	
29	def st256(st: H.Sha256State) -> S256.State:
30	  match st:
31	    case H.St256{s, b}:
32	      s
33	
34	def buf256(st: H.Sha256State) -> List<&2, U32>:
35	  match st:
36	    case H.St256{s, b}:
37	      b
38	
39	law absorb256_inv:
40	  for +fuel: Nat
41	  for +bytes: List<&2, U32>
42	  for +q: Nat
43	  for +s: S256.State
44	  for +z: List<&2, U32>
45	  {C256.block_bytes(List.append(&2, U32, bytes, z), q, C256.round_constants(), s) == C256.block_bytes(List.append(&2, U32, buf256(H.absorb256(fuel, H.read256_0(bytes), bytes, q, s)), z), q, C256.round_constants(), st256(H.absorb256(fuel, H.read256_0(bytes), bytes, q, s))) : S256.State}
46	
47	def absorb256_inv(fuel, bytes, q, s, z):
48	  match fuel:
49	    case 0n:
50	      {==}
51	    case 1n+p:
52	      match bytes:
53	        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:
54	          +fast = C256.fips_compress16(C256.pack(b0, b1, b2, b3), C256.pack(b4, b5, b6, b7), C256.pack(b8, b9, b10, b11), C256.pack(b12, b13, b14, b15), C256.pack(b16, b17, b18, b19), C256.pack(b20, b21, b22, b23), C256.pack(b24, b25, b26, b27), C256.pack(b28, b29, b30, b31), C256.pack(b32, b33, b34, b35), C256.pack(b36, b37, b38, b39), C256.pack(b40, b41, b42, b43), C256.pack(b44, b45, b46, b47), C256.pack(b48, b49, b50, b51), C256.pack(b52, b53, b54, b55), C256.pack(b56, b57, b58, b59), C256.pack(b60, b61, b62, b63), q, s)
55	          %SC.fips16_correct(C256.pack(b0, b1, b2, b3), C256.pack(b4, b5, b6, b7), C256.pack(b8, b9, b10, b11), C256.pack(b12, b13, b14, b15), C256.pack(b16, b17, b18, b19), C256.pack(b20, b21, b22, b23), C256.pack(b24, b25, b26, b27), C256.pack(b28, b29, b30, b31), C256.pack(b32, b33, b34, b35), C256.pack(b36, b37, b38, b39), C256.pack(b40, b41, b42, b43), C256.pack(b44, b45, b46, b47), C256.pack(b48, b49, b50, b51), C256.pack(b52, b53, b54, b55), C256.pack(b56, b57, b58, b59), C256.pack(b60, b61, b62, b63), q, s) :
56	            {C256.block_bytes(List.append(&2, U32, rest, z), q, C256.round_constants(), _) == C256.block_bytes(List.append(&2, U32, buf256(H.absorb256(p, H.read256_0(rest), rest, q, fast)), z), q, C256.round_constants(), st256(H.absorb256(p, H.read256_0(rest), rest, q, fast))) : S256.State}
57	          absorb256_inv(p, rest, q, fast, z)
58	        case Nil{}:
59	          {==}
60	        case b0 <> Nil{}:
61	          {==}
62	        case b0 <> b1 <> Nil{}:
63	          {==}
64	        case b0 <> b1 <> b2 <> Nil{}:
65	          {==}
66	        case b0 <> b1 <> b2 <> b3 <> Nil{}:
67	          {==}
68	        case b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}:
69	          {==}
70	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}:
71	          {==}
72	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}:
73	          {==}
74	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}:
75	          {==}
76	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}:
77	          {==}
78	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}:
79	          {==}
80	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}:
81	          {==}
82	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}:
83	          {==}
84	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}:
85	          {==}
86	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}:
87	          {==}
88	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}:
89	          {==}
90	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}:
91	          {==}
92	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}:
93	          {==}
94	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}:
95	          {==}
96	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}:
97	          {==}
98	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}:
99	          {==}
100	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}:
101	          {==}
102	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}:
103	          {==}
104	        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{}:
105	          {==}
106	        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{}:
107	          {==}
108	        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{}:
109	          {==}
110	        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{}:
111	          {==}
112	        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{}:
113	          {==}
114	        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{}:
115	          {==}
116	        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{}:
117	          {==}
118	        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{}:
119	          {==}
120	        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{}:
121	          {==}
122	        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{}:
123	          {==}
124	        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{}:
125	          {==}
126	        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{}:
127	          {==}
128	        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{}:
129	          {==}
130	        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{}:
131	          {==}
132	        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{}:
133	          {==}
134	        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{}:
135	          {==}
136	        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{}:
137	          {==}
138	        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{}:
139	          {==}
140	        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{}:
141	          {==}
142	        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{}:
143	          {==}
144	        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{}:
145	          {==}
146	        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{}:
147	          {==}
148	        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{}:
149	          {==}
150	        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{}:
151	          {==}
152	        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{}:
153	          {==}
154	        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{}:
155	          {==}
156	        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{}:
157	          {==}
158	        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{}:
159	          {==}
160	        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{}:
161	          {==}
162	        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{}:
163	          {==}
164	        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{}:
165	          {==}
166	        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{}:
167	          {==}
168	        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{}:
169	          {==}
170	        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{}:
171	          {==}
172	        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{}:
173	          {==}
174	        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{}:
175	          {==}
176	        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{}:
177	          {==}
178	        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{}:
179	          {==}
180	        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{}:
181	          {==}
182	        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{}:
183	          {==}
184	        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{}:
185	          {==}
186	
187	law step256_inv:
188	  for +st: H.Sha256State
189	  for +xs: List<&2, U32>
190	  for +q: Nat
191	  for +z: List<&2, U32>
192	  {C256.block_bytes(List.append(&2, U32, List.append(&2, U32, buf256(st), xs), z), q, C256.round_constants(), st256(st)) == C256.block_bytes(List.append(&2, U32, buf256(H.step256(st, xs, q)), z), q, C256.round_constants(), st256(H.step256(st, xs, q))) : S256.State}
193	
194	def step256_inv(st, xs, q, z):
195	  match st:
196	    case H.St256{s, buf}:
197	      absorb256_inv(List.length(&2, U32, List.append(&2, U32, buf, xs)), List.append(&2, U32, buf, xs), q, s, z)
198	
199	# The state after each chunk in turn.
200	def fold256(cs: List<&2, List<&2, U32>>, +q: Nat, st: H.Sha256State) -> H.Sha256State:
201	  match cs:
202	    case Nil{}:
203	      st
204	    case c <> ct:
205	      fold256(ct, q, H.step256(st, c, q))
206	
207	law fold256_inv:
208	  for +cs: List<&2, List<&2, U32>>
209	  for +q: Nat
210	  for +st: H.Sha256State
211	  for +z: List<&2, U32>
212	  {C256.block_bytes(List.append(&2, U32, List.append(&2, U32, buf256(st), List.concat(&2, U32, cs)), z), q, C256.round_constants(), st256(st)) == C256.block_bytes(List.append(&2, U32, buf256(fold256(cs, q, st)), z), q, C256.round_constants(), st256(fold256(cs, q, st))) : S256.State}
213	
214	def fold256_inv(cs, q, st, z):
215	  match cs:
216	    case Nil{}:
217	      %L.append_nil(buf256(st)) :
218	        {C256.block_bytes(List.append(&2, U32, List.append(&2, U32, buf256(st), Nil{}), z), q, C256.round_constants(), st256(st)) == C256.block_bytes(List.append(&2, U32, _, z), q, C256.round_constants(), st256(st)) : S256.State}
219	      {==}
220	    case c <> ct:
221	      +st2 = H.step256(st, c, q)
222	      +m = List.concat(&2, U32, ct)
223	      Equal.trans(S256.State,
224	        C256.block_bytes(List.append(&2, U32, List.append(&2, U32, buf256(st), List.append(&2, U32, c, m)), z), q, C256.round_constants(), st256(st)),
225	        C256.block_bytes(List.append(&2, U32, List.append(&2, U32, buf256(st), c), List.append(&2, U32, m, z)), q, C256.round_constants(), st256(st)),
226	        C256.block_bytes(List.append(&2, U32, buf256(fold256(ct, q, st2)), z), q, C256.round_constants(), st256(fold256(ct, q, st2))),
227	        Equal.cong(List<&2, U32>, S256.State, t => C256.block_bytes(t, q, C256.round_constants(), st256(st)),
228	          List.append(&2, U32, List.append(&2, U32, buf256(st), List.append(&2, U32, c, m)), z), List.append(&2, U32, List.append(&2, U32, buf256(st), c), List.append(&2, U32, m, z)),
229	          Equal.trans(List<&2, U32>, List.append(&2, U32, List.append(&2, U32, buf256(st), List.append(&2, U32, c, m)), z), List.append(&2, U32, List.append(&2, U32, List.append(&2, U32, buf256(st), c), m), z), List.append(&2, U32, List.append(&2, U32, buf256(st), c), List.append(&2, U32, m, z)),
230	            Equal.cong(List<&2, U32>, List<&2, U32>, t => List.append(&2, U32, t, z),
231	              List.append(&2, U32, buf256(st), List.append(&2, U32, c, m)), List.append(&2, U32, List.append(&2, U32, buf256(st), c), m), L.append_assoc_rev(buf256(st), c, m)),
232	            L.append_assoc(List.append(&2, U32, buf256(st), c), m, z))),
233	        Equal.trans(S256.State, C256.block_bytes(List.append(&2, U32, List.append(&2, U32, buf256(st), c), List.append(&2, U32, m, z)), q, C256.round_constants(), st256(st)), C256.block_bytes(List.append(&2, U32, buf256(st2), List.append(&2, U32, m, z)), q, C256.round_constants(), st256(st2)), C256.block_bytes(List.append(&2, U32, buf256(fold256(ct, q, st2)), z), q, C256.round_constants(), st256(fold256(ct, q, st2))),
234	          step256_inv(st, c, q, List.append(&2, U32, m, z)),
235	          Equal.trans(S256.State, C256.block_bytes(List.append(&2, U32, buf256(st2), List.append(&2, U32, m, z)), q, C256.round_constants(), st256(st2)), C256.block_bytes(List.append(&2, U32, List.append(&2, U32, buf256(st2), m), z), q, C256.round_constants(), st256(st2)), C256.block_bytes(List.append(&2, U32, buf256(fold256(ct, q, st2)), z), q, C256.round_constants(), st256(fold256(ct, q, st2))),
236	            Equal.cong(List<&2, U32>, S256.State, t => C256.block_bytes(t, q, C256.round_constants(), st256(st2)),
237	              List.append(&2, U32, buf256(st2), List.append(&2, U32, m, z)), List.append(&2, U32, List.append(&2, U32, buf256(st2), m), z), L.append_assoc_rev(buf256(st2), m, z)),
238	            fold256_inv(ct, q, st2, z))))
239	
240	law state256:
241	  for +cs: List<&2, List<&2, U32>>
242	  for +st: H.Sha256State
243	  for +len: Nat
244	  {H.fold(cs, H.Sha256H{st, len}) == H.Sha256H{fold256(cs, 48n, st), Nat.add(len, List.length(&2, U32, List.concat(&2, U32, cs)))} : H.Hasher}
245	
246	def state256(cs, st, len):
247	  match cs:
248	    case Nil{}:
249	      Equal.cong(Nat, H.Hasher, t => H.Sha256H{st, t}, len, Nat.add(len, 0n),
250	        Equal.sym(Nat, Nat.add(len, 0n), len, L.add_zero(len)))
251	    case c <> ct:
252	      +m = List.concat(&2, U32, ct)
253	      %L.add_length(len, c, m) :
254	        {H.fold(c <> ct, H.Sha256H{st, len}) == H.Sha256H{fold256(ct, 48n, H.step256(st, c, 48n)), _} : H.Hasher}
255	      state256(ct, H.step256(st, c, 48n), Nat.add(len, List.length(&2, U32, c)))
256	
257	law finish256_eta:
258	  for +st: H.Sha256State
259	  for +len: Nat
260	  for +q: Nat
261	  {H.finish256(st, len, q) == SHA256.digest_bytes(C256.digest(C256.block_bytes(List.append(&2, U32, buf256(st), C256.suffix(len)), q, C256.round_constants(), st256(st)))) : List<&2, U32>}
262	
263	def finish256_eta(st, len, q):
264	  match st:
265	    case H.St256{s, buf}:
266	      {==}
267	
268	# digest(update_all(new, chunks)) is the padded block loop over concat(chunks).
269	law incremental256:
270	  for +cs: List<&2, List<&2, U32>>
271	  {H.digest(H.update_all(H.new_sha256(), cs)) == SHA256.digest_bytes(C256.digest(C256.block_bytes(List.append(&2, U32, List.concat(&2, U32, cs), C256.suffix(List.length(&2, U32, List.concat(&2, U32, cs)))), 48n, C256.round_constants(), C256.initial()))) : List<&2, U32>}
272	
273	def incremental256(cs):
274	  +m = List.concat(&2, U32, cs)
275	  +qs = fold256(cs, 48n, H.St256{C256.initial(), Nil{}})
276	  %Equal.sym(H.Hasher, H.fold(cs, H.Sha256H{H.St256{C256.initial(), Nil{}}, 0n}), H.Sha256H{qs, List.length(&2, U32, m)},
277	    state256(cs, H.St256{C256.initial(), Nil{}}, 0n)) :
278	    {H.digest(_) == SHA256.digest_bytes(C256.digest(C256.block_bytes(List.append(&2, U32, List.concat(&2, U32, cs), C256.suffix(List.length(&2, U32, List.concat(&2, U32, cs)))), 48n, C256.round_constants(), C256.initial()))) : List<&2, U32>}
279	  %Equal.sym(List<&2, U32>, H.finish256(qs, List.length(&2, U32, m), 48n), SHA256.digest_bytes(C256.digest(C256.block_bytes(List.append(&2, U32, buf256(qs), C256.suffix(List.length(&2, U32, m))), 48n, C256.round_constants(), st256(qs)))),
280	    finish256_eta(qs, List.length(&2, U32, m), 48n)) :
281	    {_ == SHA256.digest_bytes(C256.digest(C256.block_bytes(List.append(&2, U32, List.concat(&2, U32, cs), C256.suffix(List.length(&2, U32, List.concat(&2, U32, cs)))), 48n, C256.round_constants(), C256.initial()))) : List<&2, U32>}
282	  Equal.cong(S256.State, List<&2, U32>, t => SHA256.digest_bytes(C256.digest(t)),
283	    C256.block_bytes(List.append(&2, U32, buf256(qs), C256.suffix(List.length(&2, U32, m))), 48n, C256.round_constants(), st256(qs)), C256.block_bytes(List.append(&2, U32, m, C256.suffix(List.length(&2, U32, m))), 48n, C256.round_constants(), C256.initial()),
284	    Equal.sym(S256.State, C256.block_bytes(List.append(&2, U32, m, C256.suffix(List.length(&2, U32, m))), 48n, C256.round_constants(), C256.initial()), C256.block_bytes(List.append(&2, U32, buf256(qs), C256.suffix(List.length(&2, U32, m))), 48n, C256.round_constants(), st256(qs)), fold256_inv(cs, 48n, H.St256{C256.initial(), Nil{}}, C256.suffix(List.length(&2, U32, m)))))
285	
286	# ---------------------------------------------------------------- SHA-512 (FIPS 180-4)
287	
288	def st512(st: H.Sha512State) -> T512.State:
289	  match st:
290	    case H.St512{s, b}:
291	      s
292	
293	def buf512(st: H.Sha512State) -> List<&2, U32>:
294	  match st:
295	    case H.St512{s, b}:
296	      b
297	
298	law absorb512_inv:
299	  for +fuel: Nat
300	  for +bytes: List<&2, U32>
301	  for +q: Nat
302	  for +s: T512.State
303	  for +z: List<&2, U32>
304	  {C512.blocks(C512.lanes(List.append(&2, U32, bytes, z)), q, C512.round_constants(), s) == C512.blocks(C512.lanes(List.append(&2, U32, buf512(H.absorb512(fuel, H.read512_0(bytes), bytes, q, s)), z)), q, C512.round_constants(), st512(H.absorb512(fuel, H.read512_0(bytes), bytes, q, s))) : T512.State}
305	
306	def absorb512_inv(fuel, bytes, q, s, z):
307	  match fuel:
308	    case 0n:
309	      {==}
310	    case 1n+p:
311	      match bytes:
312	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> b124 <> b125 <> b126 <> b127 <> rest:
313	          absorb512_inv(p, rest, q, C512.compress16(T512.W{C512.pack(b0, b1, b2, b3), C512.pack(b4, b5, b6, b7)}, T512.W{C512.pack(b8, b9, b10, b11), C512.pack(b12, b13, b14, b15)}, T512.W{C512.pack(b16, b17, b18, b19), C512.pack(b20, b21, b22, b23)}, T512.W{C512.pack(b24, b25, b26, b27), C512.pack(b28, b29, b30, b31)}, T512.W{C512.pack(b32, b33, b34, b35), C512.pack(b36, b37, b38, b39)}, T512.W{C512.pack(b40, b41, b42, b43), C512.pack(b44, b45, b46, b47)}, T512.W{C512.pack(b48, b49, b50, b51), C512.pack(b52, b53, b54, b55)}, T512.W{C512.pack(b56, b57, b58, b59), C512.pack(b60, b61, b62, b63)}, T512.W{C512.pack(b64, b65, b66, b67), C512.pack(b68, b69, b70, b71)}, T512.W{C512.pack(b72, b73, b74, b75), C512.pack(b76, b77, b78, b79)}, T512.W{C512.pack(b80, b81, b82, b83), C512.pack(b84, b85, b86, b87)}, T512.W{C512.pack(b88, b89, b90, b91), C512.pack(b92, b93, b94, b95)}, T512.W{C512.pack(b96, b97, b98, b99), C512.pack(b100, b101, b102, b103)}, T512.W{C512.pack(b104, b105, b106, b107), C512.pack(b108, b109, b110, b111)}, T512.W{C512.pack(b112, b113, b114, b115), C512.pack(b116, b117, b118, b119)}, T512.W{C512.pack(b120, b121, b122, b123), C512.pack(b124, b125, b126, b127)}, q, C512.round_constants(), s), z)
314	        case Nil{}:
315	          {==}
316	        case b0 <> Nil{}:
317	          {==}
318	        case b0 <> b1 <> Nil{}:
319	          {==}
320	        case b0 <> b1 <> b2 <> Nil{}:
321	          {==}
322	        case b0 <> b1 <> b2 <> b3 <> Nil{}:
323	          {==}
324	        case b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}:
325	          {==}
326	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}:
327	          {==}
328	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}:
329	          {==}
330	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}:
331	          {==}
332	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}:
333	          {==}
334	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}:
335	          {==}
336	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}:
337	          {==}
338	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}:
339	          {==}
340	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}:
341	          {==}
342	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}:
343	          {==}
344	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}:
345	          {==}
346	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}:
347	          {==}
348	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}:
349	          {==}
350	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}:
351	          {==}
352	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}:
353	          {==}
354	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}:
355	          {==}
356	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}:
357	          {==}
358	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}:
359	          {==}
360	        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{}:
361	          {==}
362	        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{}:
363	          {==}
364	        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{}:
365	          {==}
366	        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{}:
367	          {==}
368	        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{}:
369	          {==}
370	        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{}:
371	          {==}
372	        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{}:
373	          {==}
374	        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{}:
375	          {==}
376	        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{}:
377	          {==}
378	        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{}:
379	          {==}
380	        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{}:
381	          {==}
382	        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{}:
383	          {==}
384	        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{}:
385	          {==}
386	        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{}:
387	          {==}
388	        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{}:
389	          {==}
390	        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{}:
391	          {==}
392	        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{}:
393	          {==}
394	        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{}:
395	          {==}
396	        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{}:
397	          {==}
398	        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{}:
399	          {==}
400	        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{}:
401	          {==}
402	        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{}:
403	          {==}
404	        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{}:
405	          {==}
406	        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{}:
407	          {==}
408	        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{}:
409	          {==}
410	        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{}:
411	          {==}
412	        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{}:
413	          {==}
414	        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{}:
415	          {==}
416	        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{}:
417	          {==}
418	        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{}:
419	          {==}
420	        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{}:
421	          {==}
422	        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{}:
423	          {==}
424	        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{}:
425	          {==}
426	        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{}:
427	          {==}
428	        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{}:
429	          {==}
430	        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{}:
431	          {==}
432	        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{}:
433	          {==}
434	        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{}:
435	          {==}
436	        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{}:
437	          {==}
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 <> Nil{}:
439	          {==}
440	        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{}:
441	          {==}
442	        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 <> Nil{}:
443	          {==}
444	        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 <> b64 <> Nil{}:
445	          {==}
446	        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 <> b64 <> b65 <> Nil{}:
447	          {==}
448	        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 <> b64 <> b65 <> b66 <> Nil{}:
449	          {==}
450	        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 <> b64 <> b65 <> b66 <> b67 <> Nil{}:
451	          {==}
452	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> Nil{}:
453	          {==}
454	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> Nil{}:
455	          {==}
456	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> Nil{}:
457	          {==}
458	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> Nil{}:
459	          {==}
460	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> Nil{}:
461	          {==}
462	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> Nil{}:
463	          {==}
464	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> Nil{}:
465	          {==}
466	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> Nil{}:
467	          {==}
468	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> Nil{}:
469	          {==}
470	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> Nil{}:
471	          {==}
472	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> Nil{}:
473	          {==}
474	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> Nil{}:
475	          {==}
476	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> Nil{}:
477	          {==}
478	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> Nil{}:
479	          {==}
480	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> Nil{}:
481	          {==}
482	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> Nil{}:
483	          {==}
484	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> Nil{}:
485	          {==}
486	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> Nil{}:
487	          {==}
488	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> Nil{}:
489	          {==}
490	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> Nil{}:
491	          {==}
492	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> Nil{}:
493	          {==}
494	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> Nil{}:
495	          {==}
496	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> Nil{}:
497	          {==}
498	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> Nil{}:
499	          {==}
500	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> Nil{}:
501	          {==}
502	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> Nil{}:
503	          {==}
504	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> Nil{}:
505	          {==}
506	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> Nil{}:
507	          {==}
508	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> Nil{}:
509	          {==}
510	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> Nil{}:
511	          {==}
512	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> Nil{}:
513	          {==}
514	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> Nil{}:
515	          {==}
516	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> Nil{}:
517	          {==}
518	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> Nil{}:
519	          {==}
520	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> Nil{}:
521	          {==}
522	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> Nil{}:
523	          {==}
524	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> Nil{}:
525	          {==}
526	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> Nil{}:
527	          {==}
528	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> Nil{}:
529	          {==}
530	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> Nil{}:
531	          {==}
532	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> Nil{}:
533	          {==}
534	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> Nil{}:
535	          {==}
536	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> Nil{}:
537	          {==}
538	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> Nil{}:
539	          {==}
540	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> Nil{}:
541	          {==}
542	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> Nil{}:
543	          {==}
544	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> Nil{}:
545	          {==}
546	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> Nil{}:
547	          {==}
548	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> Nil{}:
549	          {==}
550	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> Nil{}:
551	          {==}
552	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> Nil{}:
553	          {==}
554	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> Nil{}:
555	          {==}
556	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> Nil{}:
557	          {==}
558	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> Nil{}:
559	          {==}
560	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> Nil{}:
561	          {==}
562	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> Nil{}:
563	          {==}
564	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> b124 <> Nil{}:
565	          {==}
566	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> b124 <> b125 <> Nil{}:
567	          {==}
568	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> b124 <> b125 <> b126 <> Nil{}:
569	          {==}
570	
571	law step512_inv:
572	  for +st: H.Sha512State
573	  for +xs: List<&2, U32>
574	  for +q: Nat
575	  for +z: List<&2, U32>
576	  {C512.blocks(C512.lanes(List.append(&2, U32, List.append(&2, U32, buf512(st), xs), z)), q, C512.round_constants(), st512(st)) == C512.blocks(C512.lanes(List.append(&2, U32, buf512(H.step512(st, xs, q)), z)), q, C512.round_constants(), st512(H.step512(st, xs, q))) : T512.State}
577	
578	def step512_inv(st, xs, q, z):
579	  match st:
580	    case H.St512{s, buf}:
581	      absorb512_inv(List.length(&2, U32, List.append(&2, U32, buf, xs)), List.append(&2, U32, buf, xs), q, s, z)
582	
583	# The state after each chunk in turn.
584	def fold512(cs: List<&2, List<&2, U32>>, +q: Nat, st: H.Sha512State) -> H.Sha512State:
585	  match cs:
586	    case Nil{}:
587	      st
588	    case c <> ct:
589	      fold512(ct, q, H.step512(st, c, q))
590	
591	law fold512_inv:
592	  for +cs: List<&2, List<&2, U32>>
593	  for +q: Nat
594	  for +st: H.Sha512State
595	  for +z: List<&2, U32>
596	  {C512.blocks(C512.lanes(List.append(&2, U32, List.append(&2, U32, buf512(st), List.concat(&2, U32, cs)), z)), q, C512.round_constants(), st512(st)) == C512.blocks(C512.lanes(List.append(&2, U32, buf512(fold512(cs, q, st)), z)), q, C512.round_constants(), st512(fold512(cs, q, st))) : T512.State}
597	
598	def fold512_inv(cs, q, st, z):
599	  match cs:
600	    case Nil{}:
601	      %L.append_nil(buf512(st)) :
602	        {C512.blocks(C512.lanes(List.append(&2, U32, List.append(&2, U32, buf512(st), Nil{}), z)), q, C512.round_constants(), st512(st)) == C512.blocks(C512.lanes(List.append(&2, U32, _, z)), q, C512.round_constants(), st512(st)) : T512.State}
603	      {==}
604	    case c <> ct:
605	      +st2 = H.step512(st, c, q)
606	      +m = List.concat(&2, U32, ct)
607	      Equal.trans(T512.State,
608	        C512.blocks(C512.lanes(List.append(&2, U32, List.append(&2, U32, buf512(st), List.append(&2, U32, c, m)), z)), q, C512.round_constants(), st512(st)),
609	        C512.blocks(C512.lanes(List.append(&2, U32, List.append(&2, U32, buf512(st), c), List.append(&2, U32, m, z))), q, C512.round_constants(), st512(st)),
610	        C512.blocks(C512.lanes(List.append(&2, U32, buf512(fold512(ct, q, st2)), z)), q, C512.round_constants(), st512(fold512(ct, q, st2))),
611	        Equal.cong(List<&2, U32>, T512.State, t => C512.blocks(C512.lanes(t), q, C512.round_constants(), st512(st)),
612	          List.append(&2, U32, List.append(&2, U32, buf512(st), List.append(&2, U32, c, m)), z), List.append(&2, U32, List.append(&2, U32, buf512(st), c), List.append(&2, U32, m, z)),
613	          Equal.trans(List<&2, U32>, List.append(&2, U32, List.append(&2, U32, buf512(st), List.append(&2, U32, c, m)), z), List.append(&2, U32, List.append(&2, U32, List.append(&2, U32, buf512(st), c), m), z), List.append(&2, U32, List.append(&2, U32, buf512(st), c), List.append(&2, U32, m, z)),
614	            Equal.cong(List<&2, U32>, List<&2, U32>, t => List.append(&2, U32, t, z),
615	              List.append(&2, U32, buf512(st), List.append(&2, U32, c, m)), List.append(&2, U32, List.append(&2, U32, buf512(st), c), m), L.append_assoc_rev(buf512(st), c, m)),
616	            L.append_assoc(List.append(&2, U32, buf512(st), c), m, z))),
617	        Equal.trans(T512.State, C512.blocks(C512.lanes(List.append(&2, U32, List.append(&2, U32, buf512(st), c), List.append(&2, U32, m, z))), q, C512.round_constants(), st512(st)), C512.blocks(C512.lanes(List.append(&2, U32, buf512(st2), List.append(&2, U32, m, z))), q, C512.round_constants(), st512(st2)), C512.blocks(C512.lanes(List.append(&2, U32, buf512(fold512(ct, q, st2)), z)), q, C512.round_constants(), st512(fold512(ct, q, st2))),
618	          step512_inv(st, c, q, List.append(&2, U32, m, z)),
619	          Equal.trans(T512.State, C512.blocks(C512.lanes(List.append(&2, U32, buf512(st2), List.append(&2, U32, m, z))), q, C512.round_constants(), st512(st2)), C512.blocks(C512.lanes(List.append(&2, U32, List.append(&2, U32, buf512(st2), m), z)), q, C512.round_constants(), st512(st2)), C512.blocks(C512.lanes(List.append(&2, U32, buf512(fold512(ct, q, st2)), z)), q, C512.round_constants(), st512(fold512(ct, q, st2))),
620	            Equal.cong(List<&2, U32>, T512.State, t => C512.blocks(C512.lanes(t), q, C512.round_constants(), st512(st2)),
621	              List.append(&2, U32, buf512(st2), List.append(&2, U32, m, z)), List.append(&2, U32, List.append(&2, U32, buf512(st2), m), z), L.append_assoc_rev(buf512(st2), m, z)),
622	            fold512_inv(ct, q, st2, z))))
623	
624	law state512:
625	  for +cs: List<&2, List<&2, U32>>
626	  for +st: H.Sha512State
627	  for +len: Nat
628	  {H.fold(cs, H.Sha512H{st, len}) == H.Sha512H{fold512(cs, 64n, st), Nat.add(len, List.length(&2, U32, List.concat(&2, U32, cs)))} : H.Hasher}
629	
630	def state512(cs, st, len):
631	  match cs:
632	    case Nil{}:
633	      Equal.cong(Nat, H.Hasher, t => H.Sha512H{st, t}, len, Nat.add(len, 0n),
634	        Equal.sym(Nat, Nat.add(len, 0n), len, L.add_zero(len)))
635	    case c <> ct:
636	      +m = List.concat(&2, U32, ct)
637	      %L.add_length(len, c, m) :
638	        {H.fold(c <> ct, H.Sha512H{st, len}) == H.Sha512H{fold512(ct, 64n, H.step512(st, c, 64n)), _} : H.Hasher}
639	      state512(ct, H.step512(st, c, 64n), Nat.add(len, List.length(&2, U32, c)))
640	
641	law finish512_eta:
642	  for +st: H.Sha512State
643	  for +len: Nat
644	  for +q: Nat
645	  {H.finish512(st, len, q) == C512.digest_bytes(C512.blocks(C512.lanes(List.append(&2, U32, buf512(st), C512.suffix(len))), q, C512.round_constants(), st512(st))) : List<&2, U32>}
646	
647	def finish512_eta(st, len, q):
648	  match st:
649	    case H.St512{s, buf}:
650	      {==}
651	
652	# digest(update_all(new, chunks)) is the padded block loop over concat(chunks).
653	law incremental512:
654	  for +cs: List<&2, List<&2, U32>>
655	  {H.digest(H.update_all(H.new_sha512(), cs)) == C512.digest_bytes(C512.blocks(C512.lanes(List.append(&2, U32, List.concat(&2, U32, cs), C512.suffix(List.length(&2, U32, List.concat(&2, U32, cs))))), 64n, C512.round_constants(), C512.initial())) : List<&2, U32>}
656	
657	def incremental512(cs):
658	  +m = List.concat(&2, U32, cs)
659	  +qs = fold512(cs, 64n, H.St512{C512.initial(), Nil{}})
660	  %Equal.sym(H.Hasher, H.fold(cs, H.Sha512H{H.St512{C512.initial(), Nil{}}, 0n}), H.Sha512H{qs, List.length(&2, U32, m)},
661	    state512(cs, H.St512{C512.initial(), Nil{}}, 0n)) :
662	    {H.digest(_) == C512.digest_bytes(C512.blocks(C512.lanes(List.append(&2, U32, List.concat(&2, U32, cs), C512.suffix(List.length(&2, U32, List.concat(&2, U32, cs))))), 64n, C512.round_constants(), C512.initial())) : List<&2, U32>}
663	  %Equal.sym(List<&2, U32>, H.finish512(qs, List.length(&2, U32, m), 64n), C512.digest_bytes(C512.blocks(C512.lanes(List.append(&2, U32, buf512(qs), C512.suffix(List.length(&2, U32, m)))), 64n, C512.round_constants(), st512(qs))),
664	    finish512_eta(qs, List.length(&2, U32, m), 64n)) :
665	    {_ == C512.digest_bytes(C512.blocks(C512.lanes(List.append(&2, U32, List.concat(&2, U32, cs), C512.suffix(List.length(&2, U32, List.concat(&2, U32, cs))))), 64n, C512.round_constants(), C512.initial())) : List<&2, U32>}
666	  Equal.cong(T512.State, List<&2, U32>, t => C512.digest_bytes(t),
667	    C512.blocks(C512.lanes(List.append(&2, U32, buf512(qs), C512.suffix(List.length(&2, U32, m)))), 64n, C512.round_constants(), st512(qs)), C512.blocks(C512.lanes(List.append(&2, U32, m, C512.suffix(List.length(&2, U32, m)))), 64n, C512.round_constants(), C512.initial()),
668	    Equal.sym(T512.State, C512.blocks(C512.lanes(List.append(&2, U32, m, C512.suffix(List.length(&2, U32, m)))), 64n, C512.round_constants(), C512.initial()), C512.blocks(C512.lanes(List.append(&2, U32, buf512(qs), C512.suffix(List.length(&2, U32, m)))), 64n, C512.round_constants(), st512(qs)), fold512_inv(cs, 64n, H.St512{C512.initial(), Nil{}}, C512.suffix(List.length(&2, U32, m)))))
669	
670	# ---------------------------------------------------------------- SHA3-256 (FIPS 202)
671	
672	def st3(st: H.Sha3State) -> TK.State:
673	  match st:
674	    case H.St3{s, b}:
675	      s
676	
677	def buf3(st: H.Sha3State) -> List<&2, U32>:
678	  match st:
679	    case H.St3{s, b}:
680	      b
681	
682	law absorb3_inv:
683	  for +fuel: Nat
684	  for +bytes: List<&2, U32>
685	  for +q: Nat
686	  for +s: TK.State
687	  for +z: List<&2, U32>
688	  {C3.absorb(C3.lanes(List.append(&2, U32, bytes, z)), q, s) == C3.absorb(C3.lanes(List.append(&2, U32, buf3(H.absorb3(fuel, H.read3_0(bytes), bytes, q, s)), z)), q, st3(H.absorb3(fuel, H.read3_0(bytes), bytes, q, s))) : TK.State}
689	
690	def absorb3_inv(fuel, bytes, q, s, z):
691	  match fuel:
692	    case 0n:
693	      {==}
694	    case 1n+p:
695	      match bytes:
696	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> b124 <> b125 <> b126 <> b127 <> b128 <> b129 <> b130 <> b131 <> b132 <> b133 <> b134 <> b135 <> rest:
697	          absorb3_inv(p, rest, q, P.rounds(q, 0n, C3.inject(s, TK.W{C3.pack(b0, b1, b2, b3), C3.pack(b4, b5, b6, b7)}, TK.W{C3.pack(b8, b9, b10, b11), C3.pack(b12, b13, b14, b15)}, TK.W{C3.pack(b16, b17, b18, b19), C3.pack(b20, b21, b22, b23)}, TK.W{C3.pack(b24, b25, b26, b27), C3.pack(b28, b29, b30, b31)}, TK.W{C3.pack(b32, b33, b34, b35), C3.pack(b36, b37, b38, b39)}, TK.W{C3.pack(b40, b41, b42, b43), C3.pack(b44, b45, b46, b47)}, TK.W{C3.pack(b48, b49, b50, b51), C3.pack(b52, b53, b54, b55)}, TK.W{C3.pack(b56, b57, b58, b59), C3.pack(b60, b61, b62, b63)}, TK.W{C3.pack(b64, b65, b66, b67), C3.pack(b68, b69, b70, b71)}, TK.W{C3.pack(b72, b73, b74, b75), C3.pack(b76, b77, b78, b79)}, TK.W{C3.pack(b80, b81, b82, b83), C3.pack(b84, b85, b86, b87)}, TK.W{C3.pack(b88, b89, b90, b91), C3.pack(b92, b93, b94, b95)}, TK.W{C3.pack(b96, b97, b98, b99), C3.pack(b100, b101, b102, b103)}, TK.W{C3.pack(b104, b105, b106, b107), C3.pack(b108, b109, b110, b111)}, TK.W{C3.pack(b112, b113, b114, b115), C3.pack(b116, b117, b118, b119)}, TK.W{C3.pack(b120, b121, b122, b123), C3.pack(b124, b125, b126, b127)}, TK.W{C3.pack(b128, b129, b130, b131), C3.pack(b132, b133, b134, b135)})), z)
698	        case Nil{}:
699	          {==}
700	        case b0 <> Nil{}:
701	          {==}
702	        case b0 <> b1 <> Nil{}:
703	          {==}
704	        case b0 <> b1 <> b2 <> Nil{}:
705	          {==}
706	        case b0 <> b1 <> b2 <> b3 <> Nil{}:
707	          {==}
708	        case b0 <> b1 <> b2 <> b3 <> b4 <> Nil{}:
709	          {==}
710	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> Nil{}:
711	          {==}
712	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> Nil{}:
713	          {==}
714	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> Nil{}:
715	          {==}
716	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> Nil{}:
717	          {==}
718	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> Nil{}:
719	          {==}
720	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> Nil{}:
721	          {==}
722	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> Nil{}:
723	          {==}
724	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> Nil{}:
725	          {==}
726	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> Nil{}:
727	          {==}
728	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> Nil{}:
729	          {==}
730	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> Nil{}:
731	          {==}
732	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> Nil{}:
733	          {==}
734	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> Nil{}:
735	          {==}
736	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> Nil{}:
737	          {==}
738	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> Nil{}:
739	          {==}
740	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> Nil{}:
741	          {==}
742	        case b0 <> b1 <> b2 <> b3 <> b4 <> b5 <> b6 <> b7 <> b8 <> b9 <> b10 <> b11 <> b12 <> b13 <> b14 <> b15 <> b16 <> b17 <> b18 <> b19 <> b20 <> b21 <> Nil{}:
743	          {==}
744	        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{}:
745	          {==}
746	        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{}:
747	          {==}
748	        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{}:
749	          {==}
750	        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{}:
751	          {==}
752	        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{}:
753	          {==}
754	        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{}:
755	          {==}
756	        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{}:
757	          {==}
758	        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{}:
759	          {==}
760	        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{}:
761	          {==}
762	        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{}:
763	          {==}
764	        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{}:
765	          {==}
766	        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{}:
767	          {==}
768	        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{}:
769	          {==}
770	        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{}:
771	          {==}
772	        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{}:
773	          {==}
774	        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{}:
775	          {==}
776	        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{}:
777	          {==}
778	        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{}:
779	          {==}
780	        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{}:
781	          {==}
782	        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{}:
783	          {==}
784	        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{}:
785	          {==}
786	        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{}:
787	          {==}
788	        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{}:
789	          {==}
790	        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{}:
791	          {==}
792	        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{}:
793	          {==}
794	        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{}:
795	          {==}
796	        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{}:
797	          {==}
798	        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{}:
799	          {==}
800	        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{}:
801	          {==}
802	        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{}:
803	          {==}
804	        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{}:
805	          {==}
806	        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{}:
807	          {==}
808	        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{}:
809	          {==}
810	        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{}:
811	          {==}
812	        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{}:
813	          {==}
814	        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{}:
815	          {==}
816	        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{}:
817	          {==}
818	        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{}:
819	          {==}
820	        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{}:
821	          {==}
822	        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{}:
823	          {==}
824	        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{}:
825	          {==}
826	        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 <> Nil{}:
827	          {==}
828	        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 <> b64 <> Nil{}:
829	          {==}
830	        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 <> b64 <> b65 <> Nil{}:
831	          {==}
832	        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 <> b64 <> b65 <> b66 <> Nil{}:
833	          {==}
834	        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 <> b64 <> b65 <> b66 <> b67 <> Nil{}:
835	          {==}
836	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> Nil{}:
837	          {==}
838	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> Nil{}:
839	          {==}
840	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> Nil{}:
841	          {==}
842	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> Nil{}:
843	          {==}
844	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> Nil{}:
845	          {==}
846	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> Nil{}:
847	          {==}
848	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> Nil{}:
849	          {==}
850	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> Nil{}:
851	          {==}
852	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> Nil{}:
853	          {==}
854	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> Nil{}:
855	          {==}
856	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> Nil{}:
857	          {==}
858	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> Nil{}:
859	          {==}
860	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> Nil{}:
861	          {==}
862	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> Nil{}:
863	          {==}
864	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> Nil{}:
865	          {==}
866	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> Nil{}:
867	          {==}
868	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> Nil{}:
869	          {==}
870	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> Nil{}:
871	          {==}
872	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> Nil{}:
873	          {==}
874	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> Nil{}:
875	          {==}
876	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> Nil{}:
877	          {==}
878	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> Nil{}:
879	          {==}
880	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> Nil{}:
881	          {==}
882	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> Nil{}:
883	          {==}
884	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> Nil{}:
885	          {==}
886	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> Nil{}:
887	          {==}
888	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> Nil{}:
889	          {==}
890	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> Nil{}:
891	          {==}
892	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> Nil{}:
893	          {==}
894	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> Nil{}:
895	          {==}
896	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> Nil{}:
897	          {==}
898	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> Nil{}:
899	          {==}
900	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> Nil{}:
901	          {==}
902	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> Nil{}:
903	          {==}
904	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> Nil{}:
905	          {==}
906	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> Nil{}:
907	          {==}
908	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> Nil{}:
909	          {==}
910	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> Nil{}:
911	          {==}
912	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> Nil{}:
913	          {==}
914	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> Nil{}:
915	          {==}
916	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> Nil{}:
917	          {==}
918	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> Nil{}:
919	          {==}
920	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> Nil{}:
921	          {==}
922	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> Nil{}:
923	          {==}
924	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> Nil{}:
925	          {==}
926	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> Nil{}:
927	          {==}
928	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> Nil{}:
929	          {==}
930	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> Nil{}:
931	          {==}
932	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> Nil{}:
933	          {==}
934	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> Nil{}:
935	          {==}
936	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> Nil{}:
937	          {==}
938	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> Nil{}:
939	          {==}
940	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> Nil{}:
941	          {==}
942	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> Nil{}:
943	          {==}
944	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> Nil{}:
945	          {==}
946	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> Nil{}:
947	          {==}
948	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> b124 <> Nil{}:
949	          {==}
950	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> b124 <> b125 <> Nil{}:
951	          {==}
952	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> b124 <> b125 <> b126 <> Nil{}:
953	          {==}
954	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> b124 <> b125 <> b126 <> b127 <> Nil{}:
955	          {==}
956	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> b124 <> b125 <> b126 <> b127 <> b128 <> Nil{}:
957	          {==}
958	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> b124 <> b125 <> b126 <> b127 <> b128 <> b129 <> Nil{}:
959	          {==}
960	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> b124 <> b125 <> b126 <> b127 <> b128 <> b129 <> b130 <> Nil{}:
961	          {==}
962	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> b124 <> b125 <> b126 <> b127 <> b128 <> b129 <> b130 <> b131 <> Nil{}:
963	          {==}
964	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> b124 <> b125 <> b126 <> b127 <> b128 <> b129 <> b130 <> b131 <> b132 <> Nil{}:
965	          {==}
966	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> b124 <> b125 <> b126 <> b127 <> b128 <> b129 <> b130 <> b131 <> b132 <> b133 <> Nil{}:
967	          {==}
968	        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 <> b64 <> b65 <> b66 <> b67 <> b68 <> b69 <> b70 <> b71 <> b72 <> b73 <> b74 <> b75 <> b76 <> b77 <> b78 <> b79 <> b80 <> b81 <> b82 <> b83 <> b84 <> b85 <> b86 <> b87 <> b88 <> b89 <> b90 <> b91 <> b92 <> b93 <> b94 <> b95 <> b96 <> b97 <> b98 <> b99 <> b100 <> b101 <> b102 <> b103 <> b104 <> b105 <> b106 <> b107 <> b108 <> b109 <> b110 <> b111 <> b112 <> b113 <> b114 <> b115 <> b116 <> b117 <> b118 <> b119 <> b120 <> b121 <> b122 <> b123 <> b124 <> b125 <> b126 <> b127 <> b128 <> b129 <> b130 <> b131 <> b132 <> b133 <> b134 <> Nil{}:
969	          {==}
970	
971	law step3_inv:
972	  for +st: H.Sha3State
973	  for +xs: List<&2, U32>
974	  for +q: Nat
975	  for +z: List<&2, U32>
976	  {C3.absorb(C3.lanes(List.append(&2, U32, List.append(&2, U32, buf3(st), xs), z)), q, st3(st)) == C3.absorb(C3.lanes(List.append(&2, U32, buf3(H.step3(st, xs, q)), z)), q, st3(H.step3(st, xs, q))) : TK.State}
977	
978	def step3_inv(st, xs, q, z):
979	  match st:
980	    case H.St3{s, buf}:
981	      absorb3_inv(List.length(&2, U32, List.append(&2, U32, buf, xs)), List.append(&2, U32, buf, xs), q, s, z)
982	
983	# The state after each chunk in turn.
984	def fold3(cs: List<&2, List<&2, U32>>, +q: Nat, st: H.Sha3State) -> H.Sha3State:
985	  match cs:
986	    case Nil{}:
987	      st
988	    case c <> ct:
989	      fold3(ct, q, H.step3(st, c, q))
990	
991	law fold3_inv:
992	  for +cs: List<&2, List<&2, U32>>
993	  for +q: Nat
994	  for +st: H.Sha3State
995	  for +z: List<&2, U32>
996	  {C3.absorb(C3.lanes(List.append(&2, U32, List.append(&2, U32, buf3(st), List.concat(&2, U32, cs)), z)), q, st3(st)) == C3.absorb(C3.lanes(List.append(&2, U32, buf3(fold3(cs, q, st)), z)), q, st3(fold3(cs, q, st))) : TK.State}
997	
998	def fold3_inv(cs, q, st, z):
999	  match cs:
1000	    case Nil{}:
1001	      %L.append_nil(buf3(st)) :
1002	        {C3.absorb(C3.lanes(List.append(&2, U32, List.append(&2, U32, buf3(st), Nil{}), z)), q, st3(st)) == C3.absorb(C3.lanes(List.append(&2, U32, _, z)), q, st3(st)) : TK.State}
1003	      {==}
1004	    case c <> ct:
1005	      +st2 = H.step3(st, c, q)
1006	      +m = List.concat(&2, U32, ct)
1007	      Equal.trans(TK.State,
1008	        C3.absorb(C3.lanes(List.append(&2, U32, List.append(&2, U32, buf3(st), List.append(&2, U32, c, m)), z)), q, st3(st)),
1009	        C3.absorb(C3.lanes(List.append(&2, U32, List.append(&2, U32, buf3(st), c), List.append(&2, U32, m, z))), q, st3(st)),
1010	        C3.absorb(C3.lanes(List.append(&2, U32, buf3(fold3(ct, q, st2)), z)), q, st3(fold3(ct, q, st2))),
1011	        Equal.cong(List<&2, U32>, TK.State, t => C3.absorb(C3.lanes(t), q, st3(st)),
1012	          List.append(&2, U32, List.append(&2, U32, buf3(st), List.append(&2, U32, c, m)), z), List.append(&2, U32, List.append(&2, U32, buf3(st), c), List.append(&2, U32, m, z)),
1013	          Equal.trans(List<&2, U32>, List.append(&2, U32, List.append(&2, U32, buf3(st), List.append(&2, U32, c, m)), z), List.append(&2, U32, List.append(&2, U32, List.append(&2, U32, buf3(st), c), m), z), List.append(&2, U32, List.append(&2, U32, buf3(st), c), List.append(&2, U32, m, z)),
1014	            Equal.cong(List<&2, U32>, List<&2, U32>, t => List.append(&2, U32, t, z),
1015	              List.append(&2, U32, buf3(st), List.append(&2, U32, c, m)), List.append(&2, U32, List.append(&2, U32, buf3(st), c), m), L.append_assoc_rev(buf3(st), c, m)),
1016	            L.append_assoc(List.append(&2, U32, buf3(st), c), m, z))),
1017	        Equal.trans(TK.State, C3.absorb(C3.lanes(List.append(&2, U32, List.append(&2, U32, buf3(st), c), List.append(&2, U32, m, z))), q, st3(st)), C3.absorb(C3.lanes(List.append(&2, U32, buf3(st2), List.append(&2, U32, m, z))), q, st3(st2)), C3.absorb(C3.lanes(List.append(&2, U32, buf3(fold3(ct, q, st2)), z)), q, st3(fold3(ct, q, st2))),
1018	          step3_inv(st, c, q, List.append(&2, U32, m, z)),
1019	          Equal.trans(TK.State, C3.absorb(C3.lanes(List.append(&2, U32, buf3(st2), List.append(&2, U32, m, z))), q, st3(st2)), C3.absorb(C3.lanes(List.append(&2, U32, List.append(&2, U32, buf3(st2), m), z)), q, st3(st2)), C3.absorb(C3.lanes(List.append(&2, U32, buf3(fold3(ct, q, st2)), z)), q, st3(fold3(ct, q, st2))),
1020	            Equal.cong(List<&2, U32>, TK.State, t => C3.absorb(C3.lanes(t), q, st3(st2)),
1021	              List.append(&2, U32, buf3(st2), List.append(&2, U32, m, z)), List.append(&2, U32, List.append(&2, U32, buf3(st2), m), z), L.append_assoc_rev(buf3(st2), m, z)),
1022	            fold3_inv(ct, q, st2, z))))
1023	
1024	law state3:
1025	  for +cs: List<&2, List<&2, U32>>
1026	  for +st: H.Sha3State
1027	  for +len: Nat
1028	  {H.fold(cs, H.Sha3H{st, len}) == H.Sha3H{fold3(cs, 24n, st), Nat.add(len, List.length(&2, U32, List.concat(&2, U32, cs)))} : H.Hasher}
1029	
1030	def state3(cs, st, len):
1031	  match cs:
1032	    case Nil{}:
1033	      Equal.cong(Nat, H.Hasher, t => H.Sha3H{st, t}, len, Nat.add(len, 0n),
1034	        Equal.sym(Nat, Nat.add(len, 0n), len, L.add_zero(len)))
1035	    case c <> ct:
1036	      +m = List.concat(&2, U32, ct)
1037	      %L.add_length(len, c, m) :
1038	        {H.fold(c <> ct, H.Sha3H{st, len}) == H.Sha3H{fold3(ct, 24n, H.step3(st, c, 24n)), _} : H.Hasher}
1039	      state3(ct, H.step3(st, c, 24n), Nat.add(len, List.length(&2, U32, c)))
1040	
1041	law finish3_eta:
1042	  for +st: H.Sha3State
1043	  for +len: Nat
1044	  for +q: Nat
1045	  {H.finish3(st, len, q) == C3.digest_bytes(C3.absorb(C3.lanes(List.append(&2, U32, buf3(st), C3.suffix(len))), q, st3(st))) : List<&2, U32>}
1046	
1047	def finish3_eta(st, len, q):
1048	  match st:
1049	    case H.St3{s, buf}:
1050	      {==}
1051	
1052	# digest(update_all(new, chunks)) is the padded block loop over concat(chunks).
1053	law incremental3:
1054	  for +cs: List<&2, List<&2, U32>>
1055	  {H.digest(H.update_all(H.new_sha3_256(), cs)) == C3.digest_bytes(C3.absorb(C3.lanes(List.append(&2, U32, List.concat(&2, U32, cs), C3.suffix(List.length(&2, U32, List.concat(&2, U32, cs))))), 24n, C3.zero())) : List<&2, U32>}
1056	
1057	def incremental3(cs):
1058	  +m = List.concat(&2, U32, cs)
1059	  +qs = fold3(cs, 24n, H.St3{C3.zero(), Nil{}})
1060	  %Equal.sym(H.Hasher, H.fold(cs, H.Sha3H{H.St3{C3.zero(), Nil{}}, 0n}), H.Sha3H{qs, List.length(&2, U32, m)},
1061	    state3(cs, H.St3{C3.zero(), Nil{}}, 0n)) :
1062	    {H.digest(_) == C3.digest_bytes(C3.absorb(C3.lanes(List.append(&2, U32, List.concat(&2, U32, cs), C3.suffix(List.length(&2, U32, List.concat(&2, U32, cs))))), 24n, C3.zero())) : List<&2, U32>}
1063	  %Equal.sym(List<&2, U32>, H.finish3(qs, List.length(&2, U32, m), 24n), C3.digest_bytes(C3.absorb(C3.lanes(List.append(&2, U32, buf3(qs), C3.suffix(List.length(&2, U32, m)))), 24n, st3(qs))),
1064	    finish3_eta(qs, List.length(&2, U32, m), 24n)) :
1065	    {_ == C3.digest_bytes(C3.absorb(C3.lanes(List.append(&2, U32, List.concat(&2, U32, cs), C3.suffix(List.length(&2, U32, List.concat(&2, U32, cs))))), 24n, C3.zero())) : List<&2, U32>}
1066	  Equal.cong(TK.State, List<&2, U32>, t => C3.digest_bytes(t),
1067	    C3.absorb(C3.lanes(List.append(&2, U32, buf3(qs), C3.suffix(List.length(&2, U32, m)))), 24n, st3(qs)), C3.absorb(C3.lanes(List.append(&2, U32, m, C3.suffix(List.length(&2, U32, m)))), 24n, C3.zero()),
1068	    Equal.sym(TK.State, C3.absorb(C3.lanes(List.append(&2, U32, m, C3.suffix(List.length(&2, U32, m)))), 24n, C3.zero()), C3.absorb(C3.lanes(List.append(&2, U32, buf3(qs), C3.suffix(List.length(&2, U32, m)))), 24n, st3(qs)), fold3_inv(cs, 24n, H.St3{C3.zero(), Nil{}}, C3.suffix(List.length(&2, U32, m)))))