PROOF.un.fin_eq_head: def of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/PROOF.bend as PROOF
Lines 446-453 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=446&end_line=453

import Base

def un.fin_eq_head(c: Cmp, x: Bool, y: Bool, e: {Word.cmp.fin(x, y, c) == EQ{} : Cmp}) -> {x == y : Bool}:
  match c:
    case LT{}:
      Empty.absurd({x == y : Bool}, un.lt_eq(e))
    case EQ{}:
      un.bool_eq(x, y, e)
    case GT{}:
      Empty.absurd({x == y : Bool}, un.gt_eq(e))

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=Base/base.bend&name=Word.cmp.fin
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&name=un.bool_eq
  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