PROOF.lt_absurd: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 3940-3943 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=3940&end_line=3943

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

# A comparison equal to LT is not one whose is_lt is False.
def lt_absurd(-A: Type, -c: Cmp, f: {Cmp.is_lt(c) == False{} : Bool}, e: {c == LT{} : Cmp}) -> A:
  Empty.absurd(A, MBool.false_ne_true()(Equal.trans(Bool, False{}, Cmp.is_lt(c), True{},
    Equal.sym(Bool, Cmp.is_lt(c), False{}, f), lt_true(c, e))))

Uses (8):
  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=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=lt_true
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/bool.bend&name=false_ne_true