Theorem nnred

Description: A positive integer is a real number. (Contributed by Mario Carneiro, 27-May-2016)

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

Proof

Step	Hyp	Ref	Expression
1		nnred.1	$$⊢\phi \to A\in \mathbb{N}$$
2		nnssre	$$⊢\mathbb{N}\subseteq ℝ$$
3	2 1	sseldi	$$⊢\phi \to A\in ℝ$$