Lcm.one_s: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/natural/lcm.bend as Lcm
Lines 19-24 of bend-collections-laws-math@1.0.0.0/proofs/math/natural/lcm.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/natural/lcm.bend&start_line=19&end_line=24

import Base

def one_s(+ap: Nat, +bq: Nat, +e: {Nat.add(bq, Nat.mul(ap, 1n+bq)) == 0n : Nat}) -> {1n+ap == 1n : Nat}:
  match ap:
    case 0n:
      {==}
    case 1n+ +app:
      Empty.absurd({2n+app == 1n : Nat}, add_succ_zero(bq, Nat.add(bq, Nat.mul(app, 1n+bq)), e))

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/natural/lcm.bend&name=add_succ_zero