def bx.block

bend-osdev-cbc@0.1.0.0 · PROOF.bend:84

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

84# xor(a, xor(a, b)) == b on blocks
85def bx.block(+a: M.CmBlock, +b: M.CmBlock) -> {M.CmBlock.xor(a, M.CmBlock.xor(a, b)) == b : M.CmBlock}:
86  match a b:
87    case M.CmBlock{a0, a1, a2, a3} M.CmBlock{b0, b1, b2, b3}:
88      %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}
89      %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}
90      %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}
91      %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}
92      {==}