Metamath Proof Explorer

Theorem tgptps

Description: A topological group is a topological space. (Contributed by FL, 21-Jun-2010) (Revised by Mario Carneiro, 13-Aug-2015)

		Ref	Expression
	Assertion	tgptps	$⊢ G \in TopGrp \to G \in TopSp$

Step	Hyp	Ref	Expression
1		tgptmd	$⊢ G \in TopGrp \to G \in TopMnd$
2		tmdtps	$⊢ G \in TopMnd \to G \in TopSp$
3	1 2	syl	$⊢ G \in TopGrp \to G \in TopSp$