law two_pow_succ_sym
import bend-mathlib@0.8.1.0/nat.bend as Natimport Base
4900# Two to a successor power is double the power: 2^(n+1) = double (2^n), reversed to rewrite toward the simple side.
4901law two_pow_succ_sym:
4902 for n: Nat
4903 {Nat.double(Nat.pow(2n, n)) == Nat.pow(2n, 1n+n) : Nat}