Theorem nn0red

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

	Ref	Expression
Hypothesis	nn0red.1	⊢ ( 𝜑 → 𝐴 ∈ ℕ0 )
Assertion	nn0red	⊢ ( 𝜑 → 𝐴 ∈ ℝ )

Proof

Step	Hyp	Ref	Expression
1		nn0red.1	⊢ ( 𝜑 → 𝐴 ∈ ℕ0 )
2		nn0ssre	⊢ ℕ0 ⊆ ℝ
3	2 1	sselid	⊢ ( 𝜑 → 𝐴 ∈ ℝ )