Metamath Proof Explorer


Theorem nncni

Description: A positive integer is a complex number. (Contributed by NM, 18-Aug-1999) Reduce dependencies on axioms. (Revised by Steven Nguyen, 4-Oct-2022)

Ref Expression
Hypothesis nnre.1 ⊢ A ∈ ℕ
Assertion nncni ⊢ A ∈ ℂ

Proof

Step Hyp Ref Expression
1 nnre.1 ⊢ A ∈ ℕ
2 nncn ⊢ A ∈ ℕ → A ∈ ℂ
3 1 2 ax-mp ⊢ A ∈ ℂ