Theorem nnred

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

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

Proof

Step	Hyp	Ref	Expression
1		nnred.1	⊢ ( 𝜑 → 𝐴 ∈ ℕ )
2		nnssre	⊢ ℕ ⊆ ℝ
3	2 1	sseldi	⊢ ( 𝜑 → 𝐴 ∈ ℝ )