PROOF.un.fin_eq_tail: def of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/PROOF.bend as PROOF
Lines 426-433 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=426&end_line=433

import Base

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

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=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.gt_eq
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&name=un.lt_eq