PROOF.bx_comm: def of bend-osdev-gf@0.1.1.0
Import: import bend-osdev-gf@0.1.1.0/PROOF.bend as PROOF
Lines 19-32 of bend-osdev-gf@0.1.1.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-gf@0.1.1.0/PROOF.bend&start_line=19&end_line=32

import Base

def bx_comm(+a: Bool, +b: Bool) -> {Bool.xor(a, b) == Bool.xor(b, a) : Bool}:
  match a:
    case True{}:
      match b:
        case True{}:
          {==}
        case False{}:
          {==}
    case False{}:
      match b:
        case True{}:
          {==}
        case False{}:
          {==}

Uses (2):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.xor