Nat.mul_div_cancel_left_sym: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 4426-4430 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=4426&end_line=4430

import Base

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