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