Theorem nn0cnd

Description: A nonnegative integer is a complex number. (Contributed by Mario Carneiro, 27-May-2016)

	Ref	Expression
Hypothesis	nn0red.1	$$⊢\phi \to A\in {\mathbb{N}}_0$$
Assertion	nn0cnd	$$⊢\phi \to A\in ℂ$$

Proof

Step	Hyp	Ref	Expression
1		nn0red.1	$$⊢\phi \to A\in {\mathbb{N}}_0$$
2	1	nn0red	$$⊢\phi \to A\in ℝ$$
3	2	recnd	$$⊢\phi \to A\in ℂ$$