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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