Metamath Proof Explorer


Theorem nncnd

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

Ref Expression
Hypothesis nnred.1 ⊢ φ → A ∈ ℕ
Assertion nncnd ⊢ φ → A ∈ ℂ

Proof

Step Hyp Ref Expression
1 nnred.1 ⊢ φ → A ∈ ℕ
2 nnsscn ⊢ ℕ ⊆ ℂ
3 2 1 sselid ⊢ φ → A ∈ ℂ