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Metamath Proof Explorer

Theorem nnrpd

Description: A positive integer is a positive real. (Contributed by Mario Carneiro, 28-May-2016)

		Ref	Expression
	Hypothesis	nnrpd.1	$⊢ φ \to A \in ℕ$
	Assertion	nnrpd	$⊢ φ \to A \in ℝ^{+}$

Step	Hyp	Ref	Expression
1		nnrpd.1	$⊢ φ \to A \in ℕ$
2		nnrp	$⊢ A \in ℕ \to A \in ℝ^{+}$
3	1 2	syl	$⊢ φ \to A \in ℝ^{+}$