ProofNat.lt_mul_cancel: law of lawful-words@0.1.0.0
Import: import lawful-words@0.1.0.0/proof_nat.bend as ProofNat
Lines 1564-1569 of lawful-words@0.1.0.0/proof_nat.bend: https://jend.leeeet.dev/read.txt?path=lawful-words@0.1.0.0/proof_nat.bend&start_line=1564&end_line=1569

import Base

law lt_mul_cancel:
  for +c: Nat
  for +a: Nat
  for +b: Nat
  for +h: {Nat.is_lt(Nat.mul(c, a), Nat.mul(c, b)) == True{} : Bool}
  {Nat.is_lt(a, b) == True{} : Bool}

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=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_nat.bend&name=lt_mul_cancel.go