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 ( 𝜑𝐴 ∈ ℕ )
Assertion nncnd ( 𝜑𝐴 ∈ ℂ )

Proof

Step Hyp Ref Expression
1 nnred.1 ( 𝜑𝐴 ∈ ℕ )
2 nnsscn ℕ ⊆ ℂ
3 2 1 sseldi ( 𝜑𝐴 ∈ ℂ )