Nat.add_mul_div_right_sym: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 4728-4733 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=4728&end_line=4733

import Base

# Adding a multiple of a positive divisor adds to the quotient: (x + z * (1 + b)) / (1 + b) = x / (1 + b) + z, reversed to rewrite toward the simple side.
law add_mul_div_right_sym:
  for x: Nat
  for z: Nat
  for b: Nat
  {Nat.add(Nat.div(x, 1n+b), z) == Nat.div(Nat.add(x, Nat.mul(z, 1n+b)), 1n+b) : Nat}

Uses (6):
  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.add
  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=add_mul_div_right