PROOF.bx_assoc: def of bend-osdev-gf@0.1.1.0
Import: import bend-osdev-gf@0.1.1.0/PROOF.bend as PROOF
Lines 34-63 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=34&end_line=63

import Base

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