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Metamath Proof Explorer

Theorem nnred

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

		Ref	Expression
	Hypothesis	nnred.1	$⊢ φ \to A \in ℕ$
	Assertion	nnred	$⊢ φ \to A \in ℝ$

Step	Hyp	Ref	Expression
1		nnred.1	$⊢ φ \to A \in ℕ$
2		nnssre	$⊢ ℕ \subseteq ℝ$
3	2 1	sselid	$⊢ φ \to A \in ℝ$