PROOF.block_xx: def of bend-osdev-camellia@0.1.0.0
Import: import bend-osdev-camellia@0.1.0.0/PROOF.bend as PROOF
Lines 10-17 of bend-osdev-camellia@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-camellia@0.1.0.0/PROOF.bend&start_line=10&end_line=17

import Base
import bend-osdev-mode-core@0.1.0.0/mode_core.bend as M
import bend-osdev-cipher-core@0.1.0.0/LAWS.bend as CoreL

def block_xx(s: M.CmBlock, k: M.CmBlock) -> {s == M.CmBlock.xor(M.CmBlock.xor(s, k), k) : M.CmBlock}:
  match s k:
    case M.CmBlock{+a0, +a1, +a2, +a3} M.CmBlock{+b0, +b1, +b2, +b3}:
      %CoreL.u32_xor_cancel(a0, b0) : {M.CmBlock{a0, a1, a2, a3} == M.CmBlock{_, U32.xor(U32.xor(a1, b1), b1), U32.xor(U32.xor(a2, b2), b2), U32.xor(U32.xor(a3, b3), b3)} : M.CmBlock}
      %CoreL.u32_xor_cancel(a1, b1) : {M.CmBlock{a0, a1, a2, a3} == M.CmBlock{a0, _, U32.xor(U32.xor(a2, b2), b2), U32.xor(U32.xor(a3, b3), b3)} : M.CmBlock}
      %CoreL.u32_xor_cancel(a2, b2) : {M.CmBlock{a0, a1, a2, a3} == M.CmBlock{a0, a1, _, U32.xor(U32.xor(a3, b3), b3)} : M.CmBlock}
      %CoreL.u32_xor_cancel(a3, b3) : {M.CmBlock{a0, a1, a2, a3} == M.CmBlock{a0, a1, a2, _} : M.CmBlock}
      {==}

Uses (4):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.xor
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-core@0.1.0.0/LAWS.bend&name=u32_xor_cancel
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-mode-core@0.1.0.0/mode_core.bend&name=CmBlock
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-mode-core@0.1.0.0/mode_core.bend&name=CmBlock.xor