Theorem nnrpd

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

	Ref	Expression
Hypothesis	nnrpd.1	$$⊢\phi \to A\in \mathbb{N}$$
Assertion	nnrpd	$$⊢\phi \to A\in {ℝ}^{+}$$

Proof

Step	Hyp	Ref	Expression
1		nnrpd.1	$$⊢\phi \to A\in \mathbb{N}$$
2		nnrp	$$⊢A\in \mathbb{N}\to A\in {ℝ}^{+}$$
3	1 2	syl	$$⊢\phi \to A\in {ℝ}^{+}$$