law pow_mul_sym

bend-mathlib@0.8.1.0 · nat.bend:4511

import Base

4511# Exponents multiply under repeated powers: a^(m * n) = (a^m)^n, reversed to rewrite toward the simple side.
4512law pow_mul_sym:
4513  for a: Nat
4514  for m: Nat
4515  for n: Nat
4516  {Nat.pow(Nat.pow(a, m), n) == Nat.pow(a, Nat.mul(m, n)) : Nat}