def sp.mod_tail
bend-osdev-cbc@0.1.0.0 · PROOF.bend:124
import bend-osdev-cbc@0.1.0.0/PROOF.bend as PROOF
import Base
import bend-osdev-bytes@0.1.1.0/bytes.bend as B
import bend-osdev-mode-core@0.1.0.0/mode_core.bend as M
124
125def sp.mod_tail(ys: List<&2, U32>) -> {Nat.mod(B.len(ys), 16n) == 0n : Nat} -> {M.cm.split.tail(M.cm.split(B.mask(ys))) == Nil{} : List<&2, U32>}:
126 match ys:
127 case Nil{}:
128 h => {==}
129 case Con{+y0, +r0}:
130 match r0:
131 case Nil{}:
132 h => sp.absurd_tail(0n, Con{y0, Nil{}}, h)
133 case Con{+y1, +r1}:
134 match r1:
135 case Nil{}:
136 h => sp.absurd_tail(1n, Con{y0, Con{y1, Nil{}}}, h)
137 case Con{+y2, +r2}:
138 match r2:
139 case Nil{}:
140 h => sp.absurd_tail(2n, Con{y0, Con{y1, Con{y2, Nil{}}}}, h)
141 case Con{+y3, +r3}:
142 match r3:
143 case Nil{}:
144 h => sp.absurd_tail(3n, Con{y0, Con{y1, Con{y2, Con{y3, Nil{}}}}}, h)
145 case Con{+y4, +r4}:
146 match r4:
147 case Nil{}:
148 h => sp.absurd_tail(4n, Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Nil{}}}}}}, h)
149 case Con{+y5, +r5}:
150 match r5:
151 case Nil{}:
152 h => sp.absurd_tail(5n, Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Nil{}}}}}}}, h)
153 case Con{+y6, +r6}:
154 match r6:
155 case Nil{}:
156 h => sp.absurd_tail(6n, Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Nil{}}}}}}}}, h)
157 case Con{+y7, +r7}:
158 match r7:
159 case Nil{}:
160 h => sp.absurd_tail(7n, Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Nil{}}}}}}}}}, h)
161 case Con{+y8, +r8}:
162 match r8:
163 case Nil{}:
164 h => sp.absurd_tail(8n, Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Nil{}}}}}}}}}}, h)
165 case Con{+y9, +r9}:
166 match r9:
167 case Nil{}:
168 h => sp.absurd_tail(9n, Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Nil{}}}}}}}}}}}, h)
169 case Con{+y10, +r10}:
170 match r10:
171 case Nil{}:
172 h => sp.absurd_tail(10n, Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Nil{}}}}}}}}}}}}, h)
173 case Con{+y11, +r11}:
174 match r11:
175 case Nil{}:
176 h => sp.absurd_tail(11n, Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Con{y11, Nil{}}}}}}}}}}}}}, h)
177 case Con{+y12, +r12}:
178 match r12:
179 case Nil{}:
180 h => sp.absurd_tail(12n, Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Con{y11, Con{y12, Nil{}}}}}}}}}}}}}}, h)
181 case Con{+y13, +r13}:
182 match r13:
183 case Nil{}:
184 h => sp.absurd_tail(13n, Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Con{y11, Con{y12, Con{y13, Nil{}}}}}}}}}}}}}}}, h)
185 case Con{+y14, +r14}:
186 match r14:
187 case Nil{}:
188 h => sp.absurd_tail(14n, Con{y0, Con{y1, Con{y2, Con{y3, Con{y4, Con{y5, Con{y6, Con{y7, Con{y8, Con{y9, Con{y10, Con{y11, Con{y12, Con{y13, Con{y14, Nil{}}}}}}}}}}}}}}}}, h)
189 case Con{+y15, +t}:
190 h => %Equal.sym(List<&2, U32>, M.cm.split.tail(M.cm.split.cons(M.cm.block16(B.byte(y0), B.byte(y1), B.byte(y2), B.byte(y3), B.byte(y4), B.byte(y5), B.byte(y6), B.byte(y7), B.byte(y8), B.byte(y9), B.byte(y10), B.byte(y11), B.byte(y12), B.byte(y13), B.byte(y14), B.byte(y15)), M.cm.split(B.mask(t)))), M.cm.split.tail(M.cm.split(B.mask(t))), sp.cons_tail(M.cm.block16(B.byte(y0), B.byte(y1), B.byte(y2), B.byte(y3), B.byte(y4), B.byte(y5), B.byte(y6), B.byte(y7), B.byte(y8), B.byte(y9), B.byte(y10), B.byte(y11), B.byte(y12), B.byte(y13), B.byte(y14), B.byte(y15)), M.cm.split(B.mask(t)))) : {_ == Nil{} : List<&2, U32>}
191 sp.mod_tail(t)(Equal.trans(Nat, Nat.mod(B.len(t), 16n), Nat.mod(Nat.add(16n, B.len(t)), 16n), 0n, Equal.sym(Nat, Nat.mod(Nat.add(16n, B.len(t)), 16n), Nat.mod(B.len(t), 16n), sp.mod16(B.len(t))), h))