NatOrder.comparison_less_not_equal: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/nat_order.bend as NatOrder
Lines 105-109 of stelliferous@0.0.2.0/proofs/nat_order.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/nat_order.bend&start_line=105&end_line=109

import Base
import stelliferous@0.0.2.0/proofs/word_encoding.bend as WordEncoding

def comparison_less_not_equal(+comparison: Cmp,less: {Cmp.is_lt(comparison) == True{} : Bool}) -> {Cmp.is_eq(comparison) == False{} : Bool}:
  match comparison:
    case LT{}: {==}
    case EQ{}: Empty.absurd({True{} == False{} : Bool},WordEncoding.false_true(less))
    case GT{}: Empty.absurd({False{} == False{} : Bool},WordEncoding.false_true(less))

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=Cmp.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/word_encoding.bend&name=false_true