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Metamath Proof Explorer

Theorem iiuni

Description: The base set of the unit interval. (Contributed by Jeff Madsen, 2-Sep-2009) (Revised by Mario Carneiro, 15-Jan-2014)

		Ref	Expression
	Assertion	iiuni	$⊢ [0, 1] = ⋃ II$

Step	Hyp	Ref	Expression
1		iitopon	$⊢ II \in TopOn ([0, 1])$
2	1	toponunii	$⊢ [0, 1] = ⋃ II$