Theorem nnrpd

Description: A positive integer is a positive real. (Contributed by Mario Carneiro, 28-May-2016)

	Ref	Expression
Hypothesis	nnrpd.1	⊢ ( 𝜑 → 𝐴 ∈ ℕ )
Assertion	nnrpd	⊢ ( 𝜑 → 𝐴 ∈ ℝ+ )

Proof

Step	Hyp	Ref	Expression
1		nnrpd.1	⊢ ( 𝜑 → 𝐴 ∈ ℕ )
2		nnrp	⊢ ( 𝐴 ∈ ℕ → 𝐴 ∈ ℝ+ )
3	1 2	syl	⊢ ( 𝜑 → 𝐴 ∈ ℝ+ )