PROOF.ap.mx: def of bend-osdev-aes@0.1.0.0
Import: import bend-osdev-aes@0.1.0.0/PROOF.bend as PROOF
Lines 1793-1795 of bend-osdev-aes@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-aes@0.1.0.0/PROOF.bend&start_line=1793&end_line=1795

import Base
import bend-osdev-gf@0.1.1.0/gf.bend as G
import bend-osdev-gf@0.1.1.0/LAWS.bend as GL

def ap.mx(+k: U32, +u: U32, +v: U32) -> {G.Gf8.mul(G.Gf8.aes(), k, U32.xor(u, v)) == G.Gf8.add(G.Gf8.mul(G.Gf8.aes(), k, u), G.Gf8.mul(G.Gf8.aes(), k, v)) : U32}:
  %Equal.sym(U32, G.Gf8.mul(G.Gf8.aes(), k, U32.xor(u, v)), G.Gf8.mul(G.Gf8.aes(), k, G.Gf8.add(u, v)), ap.gx(k, u, v)) : {_ == G.Gf8.add(G.Gf8.mul(G.Gf8.aes(), k, u), G.Gf8.mul(G.Gf8.aes(), k, v)) : U32}
  GL.mul_distrib(G.Gf8.aes(), k, u, v)

Uses (8):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.xor
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-aes@0.1.0.0/PROOF.bend&name=ap.gx
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/LAWS.bend&name=mul_distrib
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.add
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.aes
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/gf.bend&name=Gf8.mul