Metamath Proof Explorer


Theorem nn0cn

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

Ref Expression
Assertion nn0cn ⊢ A ∈ ℕ 0 → A ∈ ℂ

Proof

Step Hyp Ref Expression
1 nn0sscn ⊢ ℕ 0 ⊆ ℂ
2 1 sseli ⊢ A ∈ ℕ 0 → A ∈ ℂ