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Metamath Proof Explorer

Theorem nn0cn

Description: A nonnegative integer is a complex number. (Contributed by NM, 9-May-2004)

Ref Expression
Assertion nn0cn ( 𝐴 ∈ ℕ0 → 𝐴 ∈ ℂ )

Proof

Step Hyp Ref Expression
1 nn0sscn ⊢ ℕ0 ⊆ ℂ
2 1 sseli ⊢ ( 𝐴 ∈ ℕ0 → 𝐴 ∈ ℂ )