Theorem nn0cnd

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

	Ref	Expression
Hypothesis	nn0red.1	⊢ ( 𝜑 → 𝐴 ∈ ℕ0 )
Assertion	nn0cnd	⊢ ( 𝜑 → 𝐴 ∈ ℂ )

Proof

Step	Hyp	Ref	Expression
1		nn0red.1	⊢ ( 𝜑 → 𝐴 ∈ ℕ0 )
2	1	nn0red	⊢ ( 𝜑 → 𝐴 ∈ ℝ )
3	2	recnd	⊢ ( 𝜑 → 𝐴 ∈ ℂ )