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Metamath Proof Explorer

Theorem nn0red

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

		Ref	Expression
	Hypothesis	nn0red.1	$⊢ φ \to A \in ℕ_{0}$
	Assertion	nn0red	$⊢ φ \to A \in ℝ$

Step	Hyp	Ref	Expression
1		nn0red.1	$⊢ φ \to A \in ℕ_{0}$
2		nn0ssre	$⊢ ℕ_{0} \subseteq ℝ$
3	2 1	sselid	$⊢ φ \to A \in ℝ$