PROOF.un.bool_eq: def of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/PROOF.bend as PROOF
Lines 435-444 of bend-osdev-u32@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&start_line=435&end_line=444

import Base

def un.bool_eq(x: Bool, y: Bool, e: {Bool.cmp(x, y) == EQ{} : Cmp}) -> {x == y : Bool}:
  match x y:
    case False{} False{}:
      {==}
    case False{} True{}:
      Empty.absurd({False{} == True{} : Bool}, un.lt_eq(e))
    case True{} False{}:
      Empty.absurd({True{} == False{} : Bool}, un.gt_eq(e))
    case True{} True{}:
      {==}

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&name=un.gt_eq
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&name=un.lt_eq