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Metamath Proof Explorer

Theorem nnxrd

Description: A natural number is an extended real. (Contributed by Glauco Siliprandi, 11-Dec-2019)

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

Step	Hyp	Ref	Expression
1		nnxrd.1	$⊢ φ \to A \in ℕ$
2	1	nnred	$⊢ φ \to A \in ℝ$
3	2	rexrd	$⊢ φ \to A \in ℝ^{*}$