Nat.lt_of_add_lt_add_left: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 2773-2779 of bend-mathlib@0.8.1.0/nat.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/nat.bend&start_line=2773&end_line=2779

import Base

# A common left summand cancels in a strict inequality: k + a < k + b implies a < b.
law lt_of_add_lt_add_left:
  for k: Nat
  for -a: Nat
  for -b: Nat
  for h: lt(Nat.add(k, a), Nat.add(k, b))
  lt(a, b)

Uses (3):
  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=bend-mathlib@0.8.1.0/nat.bend&name=lt