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Metamath Proof Explorer

Theorem 0xr

Description: Zero is an extended real. (Contributed by Mario Carneiro, 15-Jun-2014)

		Ref	Expression
	Assertion	0xr	$⊢ 0 \in ℝ^{*}$

Step	Hyp	Ref	Expression
1		ressxr	$⊢ ℝ \subseteq ℝ^{*}$
2		0re	$⊢ 0 \in ℝ$
3	1 2	sselii	$⊢ 0 \in ℝ^{*}$