ProofNat.lt_add_l: law of lawful-words@0.1.0.0
Import: import lawful-words@0.1.0.0/proof_nat.bend as ProofNat
Lines 841-847 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=841&end_line=847

import Base

# c + a < c + b from a < b (and the same for <=).
law lt_add_l:
  for +c: Nat
  for +a: Nat
  for +b: Nat
  for h: {Nat.is_lt(a, b) == True{} : Bool}
  {Nat.is_lt(Nat.add(c, a), Nat.add(c, b)) == True{} : Bool}

Uses (4):
  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.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt