PROOF.bx.block: def of bend-osdev-cbc@0.1.0.0
Import: import bend-osdev-cbc@0.1.0.0/PROOF.bend as PROOF
Lines 84-92 of bend-osdev-cbc@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-cbc@0.1.0.0/PROOF.bend&start_line=84&end_line=92

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

# xor(a, xor(a, b)) == b on blocks
def bx.block(+a: M.CmBlock, +b: M.CmBlock) -> {M.CmBlock.xor(a, M.CmBlock.xor(a, b)) == b : M.CmBlock}:
  match a b:
    case M.CmBlock{a0, a1, a2, a3} M.CmBlock{b0, b1, b2, b3}:
      %bx.u32(a0, b0) : {M.CmBlock.xor(M.CmBlock{a0, a1, a2, a3}, M.CmBlock.xor(M.CmBlock{a0, a1, a2, a3}, M.CmBlock{b0, b1, b2, b3})) == M.CmBlock{_, b1, b2, b3} : M.CmBlock}
      %bx.u32(a1, b1) : {M.CmBlock.xor(M.CmBlock{a0, a1, a2, a3}, M.CmBlock.xor(M.CmBlock{a0, a1, a2, a3}, M.CmBlock{b0, b1, b2, b3})) == M.CmBlock{U32.xor(a0, U32.xor(a0, b0)), _, b2, b3} : M.CmBlock}
      %bx.u32(a2, b2) : {M.CmBlock.xor(M.CmBlock{a0, a1, a2, a3}, M.CmBlock.xor(M.CmBlock{a0, a1, a2, a3}, M.CmBlock{b0, b1, b2, b3})) == M.CmBlock{U32.xor(a0, U32.xor(a0, b0)), U32.xor(a1, U32.xor(a1, b1)), _, b3} : M.CmBlock}
      %bx.u32(a3, b3) : {M.CmBlock.xor(M.CmBlock{a0, a1, a2, a3}, M.CmBlock.xor(M.CmBlock{a0, a1, a2, a3}, M.CmBlock{b0, b1, b2, b3})) == M.CmBlock{U32.xor(a0, U32.xor(a0, b0)), U32.xor(a1, U32.xor(a1, b1)), U32.xor(a2, U32.xor(a2, b2)), _} : 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-cbc@0.1.0.0/PROOF.bend&name=bx.u32
  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