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Metamath Proof Explorer

Theorem iccssxr

Description: A closed interval is a set of extended reals. (Contributed by FL, 28-Jul-2008) (Revised by Mario Carneiro, 4-Jul-2014)

		Ref	Expression
	Assertion	iccssxr	$⊢ [A, B] \subseteq ℝ^{*}$

Step	Hyp	Ref	Expression
1		df-icc	$⊢ [.] = (x \in ℝ^{}, y \in ℝ^{} ⟼ \{z \in ℝ^{*} \| (x \leq z \land z \leq y)\})$
2	1	ixxssxr	$⊢ [A, B] \subseteq ℝ^{*}$