LAWS.nat_div_lt: law of lawful-words@0.1.0.0
Import: import lawful-words@0.1.0.0/LAWS.bend as LAWS
Lines 554-561 of lawful-words@0.1.0.0/LAWS.bend: https://jend.leeeet.dev/read.txt?path=lawful-words@0.1.0.0/LAWS.bend&start_line=554&end_line=561

import Base

# a < b * c with b > 0 gives a / b < c.
law nat_div_lt:
  for a: Nat
  for b: Nat
  for c: Nat
  for hb: {Nat.is_lt(0n, b) == True{} : Bool}
  for h: {Nat.is_lt(a, Nat.mul(b, c)) == True{} : Bool}
  {Nat.is_lt(Nat.div(a, b), c) == True{} : Bool}

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=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.div
  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=div_lt