PROOF.lt_of: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 214-221 of bend-kit-collections@0.1.4.1/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&start_line=214&end_line=221

import Base
import bend-mathlib@0.7.4.0/bool.bend as MBool

def lt_of(c: Cmp, e: {Cmp.is_lt(c) == True{} : Bool}) -> {c == LT{} : Cmp}:
  match c:
    case LT{}:
      {==}
    case EQ{}:
      Empty.absurd({EQ{} == LT{} : Cmp}, MBool.false_ne_true()(e))
    case GT{}:
      Empty.absurd({GT{} == LT{} : Cmp}, MBool.false_ne_true()(e))

Uses (5):
  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_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/bool.bend&name=false_ne_true