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Metamath Proof Explorer

Theorem eliccxr

Description: A member of a closed interval is an extended real. (Contributed by Glauco Siliprandi, 11-Dec-2019)

		Ref	Expression
	Assertion	eliccxr	$⊢ A \in [B, C] \to A \in ℝ^{*}$

Step	Hyp	Ref	Expression
1		iccssxr	$⊢ [B, C] \subseteq ℝ^{*}$
2	1	sseli	$⊢ A \in [B, C] \to A \in ℝ^{*}$