Metamath Proof Explorer


Theorem nnrei

Description: A positive integer is a real number. (Contributed by NM, 18-Aug-1999)

Ref Expression
Hypothesis nnre.1 ⊢ A ∈ ℕ
Assertion nnrei ⊢ A ∈ ℝ

Proof

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