Nat.mul_div_cancel_sym: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 4417-4421 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=4417&end_line=4421

import Base

# Multiplying by a positive divisor then dividing by it cancels: (a * (1 + b)) / (1 + b) = a, reversed to rewrite toward the simple side.
law mul_div_cancel_sym:
  for a: Nat
  for b: Nat
  {a == Nat.div(Nat.mul(a, 1n+b), 1n+b) : Nat}

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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.mul
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=mul_div_cancel