Theorem numexp0

Description: Calculate an integer power. (Contributed by Mario Carneiro, 17-Apr-2015)

	Ref	Expression
Hypothesis	numexp.1	$$⊢A\in {\mathbb{N}}_0$$
Assertion	numexp0	$$⊢A^0=1$$

Proof

Step	Hyp	Ref	Expression
1		numexp.1	$$⊢A\in {\mathbb{N}}_0$$
2	1	nn0cni	$$⊢A\in ℂ$$
3		exp0	$$⊢A\in ℂ\to A^0=1$$
4	2 3	ax-mp	$$⊢A^0=1$$