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