def ap.rowb1

bend-osdev-aes@0.1.0.0 · PROOF.bend:1934

import bend-osdev-aes@0.1.0.0/PROOF.bend as PROOF
import Base
import bend-collections@1.0.0.0/src/crypto/aes/sbox.bend as SB

1934def ap.rowb1(+a: U32, +b: U32, +c: U32, +d: U32) -> {U32.xor(U32.xor(U32.xor(U32.and(255, a), SB.xtime(U32.and(255, b))), SB.mul3(U32.and(255, c))), U32.and(255, d)) == U32.and(255, U32.xor(U32.and(255, U32.xor(U32.and(255, U32.xor(U32.and(255, a), U32.and(255, SB.xtime(U32.and(255, b))))), U32.and(255, SB.mul3(U32.and(255, c))))), U32.and(255, d))) : U32}:
1935  %Equal.sym(U32, SB.xtime(U32.and(255, b)), U32.and(255, SB.xtime(U32.and(255, b))), ap.xtb(b)) : {U32.xor(U32.xor(U32.xor(U32.and(255, a), _), SB.mul3(U32.and(255, c))), U32.and(255, d)) == U32.and(255, U32.xor(U32.and(255, U32.xor(U32.and(255, U32.xor(U32.and(255, a), U32.and(255, SB.xtime(U32.and(255, b))))), U32.and(255, SB.mul3(U32.and(255, c))))), U32.and(255, d))) : U32}
1936  %Equal.sym(U32, SB.mul3(U32.and(255, c)), U32.and(255, SB.mul3(U32.and(255, c))), ap.m3b(c)) : {U32.xor(U32.xor(U32.xor(U32.and(255, a), U32.and(255, SB.xtime(U32.and(255, b)))), _), U32.and(255, d)) == U32.and(255, U32.xor(U32.and(255, U32.xor(U32.and(255, U32.xor(U32.and(255, a), U32.and(255, SB.xtime(U32.and(255, b))))), U32.and(255, SB.mul3(U32.and(255, c))))), U32.and(255, d))) : U32}
1937  %Equal.sym(U32, U32.xor(U32.and(255, a), U32.and(255, SB.xtime(U32.and(255, b)))), U32.and(255, U32.xor(U32.and(255, a), U32.and(255, SB.xtime(U32.and(255, b))))), ap.xorb(a, SB.xtime(U32.and(255, b)))) : {U32.xor(U32.xor(_, U32.and(255, SB.mul3(U32.and(255, c)))), U32.and(255, d)) == U32.and(255, U32.xor(U32.and(255, U32.xor(U32.and(255, U32.xor(U32.and(255, a), U32.and(255, SB.xtime(U32.and(255, b))))), U32.and(255, SB.mul3(U32.and(255, c))))), U32.and(255, d))) : U32}
1938  %Equal.sym(U32, U32.xor(U32.and(255, U32.xor(U32.and(255, a), U32.and(255, SB.xtime(U32.and(255, b))))), U32.and(255, SB.mul3(U32.and(255, c)))), U32.and(255, U32.xor(U32.and(255, U32.xor(U32.and(255, a), U32.and(255, SB.xtime(U32.and(255, b))))), U32.and(255, SB.mul3(U32.and(255, c))))), ap.xorb(U32.xor(U32.and(255, a), U32.and(255, SB.xtime(U32.and(255, b)))), SB.mul3(U32.and(255, c)))) : {U32.xor(_, U32.and(255, d)) == U32.and(255, U32.xor(U32.and(255, U32.xor(U32.and(255, U32.xor(U32.and(255, a), U32.and(255, SB.xtime(U32.and(255, b))))), U32.and(255, SB.mul3(U32.and(255, c))))), U32.and(255, d))) : U32}
1939  %Equal.sym(U32, U32.xor(U32.and(255, U32.xor(U32.and(255, U32.xor(U32.and(255, a), U32.and(255, SB.xtime(U32.and(255, b))))), U32.and(255, SB.mul3(U32.and(255, c))))), U32.and(255, d)), U32.and(255, U32.xor(U32.and(255, U32.xor(U32.and(255, U32.xor(U32.and(255, a), U32.and(255, SB.xtime(U32.and(255, b))))), U32.and(255, SB.mul3(U32.and(255, c))))), U32.and(255, d))), ap.xorb(U32.xor(U32.and(255, U32.xor(U32.and(255, a), U32.and(255, SB.xtime(U32.and(255, b))))), U32.and(255, SB.mul3(U32.and(255, c)))), d)) : {_ == U32.and(255, U32.xor(U32.and(255, U32.xor(U32.and(255, U32.xor(U32.and(255, a), U32.and(255, SB.xtime(U32.and(255, b))))), U32.and(255, SB.mul3(U32.and(255, c))))), U32.and(255, d))) : U32}
1940  {==}

Uses (9)

Used by (1)