U64.ge_fin_zero: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/u64/u64.bend as U64
Lines 60-69 of bend-collections-laws-math@1.0.0.0/proofs/math/u64/u64.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/u64/u64.bend&start_line=60&end_line=69

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

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

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_ge
  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