Nat.mul_lt_mul_of_pos_right: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 2853-2859 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=2853&end_line=2859

import Base

# Multiplying on the right by a positive factor preserves the strict order: a < b implies a * (1 + k) < b * (1 + k).
law mul_lt_mul_of_pos_right:
  for a: Nat
  for b: Nat
  for k: Nat
  for h: lt(a, b)
  lt(Nat.mul(a, 1n+k), Nat.mul(b, 1n+k))

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=lt
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=mul_comm
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=mul_lt_mul_of_pos_left