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Metamath Proof Explorer

Theorem retop

Description: The standard topology on the reals. (Contributed by FL, 4-Jun-2007)

		Ref	Expression
	Assertion	retop	$⊢ topGen (ran (.)) \in Top$

Step	Hyp	Ref	Expression
1		retopbas	$⊢ ran (.) \in TopBases$
2		tgcl	$⊢ ran (.) \in TopBases \to topGen (ran (.)) \in Top$
3	1 2	ax-mp	$⊢ topGen (ran (.)) \in Top$