U32.fin_refl: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/lib/u32.bend as U32
Lines 283-292 of bend-collections-laws-math@1.0.0.0/proofs/lib/u32.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/u32.bend&start_line=283&end_line=292

import Base
import bend-collections-laws-math@1.0.0.0/proofs/lib/logic.bend as L

def fin_refl(+c: Cmp, +b: Bool, +h: {Cmp.is_eq(c) == True{} : Bool}) -> {Cmp.is_eq(Word.cmp.fin(b, b, c)) == True{} : Bool}:
  match c b:
    case LT{} _:
      Empty.absurd({Cmp.is_eq(Word.cmp.fin(b, b, LT{})) == True{} : Bool}, L.false_true(h))
    case EQ{} True{}:
      {==}
    case EQ{} False{}:
      {==}
    case GT{} _:
      Empty.absurd({Cmp.is_eq(Word.cmp.fin(b, b, GT{})) == True{} : Bool}, L.false_true(h))

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=Cmp.is_eq
  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-collections-laws-math@1.0.0.0/proofs/lib/logic.bend&name=false_true