Nat.mul_pow_sym: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 4501-4506 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=4501&end_line=4506

import Base

# A power of a product is the product of the powers: (a * b)^n = a^n * b^n, reversed to rewrite toward the simple side.
law mul_pow_sym:
  for +a: Nat
  for +b: Nat
  for n: Nat
  {Nat.mul(Nat.pow(a, n), Nat.pow(b, n)) == Nat.pow(Nat.mul(a, b), n) : 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.mul
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.pow
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=mul_pow