Metamath Proof Explorer

Theorem rrxtps

Description: Generalized Euclidean real spaces are topological spaces. (Contributed by Glauco Siliprandi, 24-Dec-2020)

		Ref	Expression
	Assertion	rrxtps	$⊢ I \in V \to I \in TopSp$

Step	Hyp	Ref	Expression
1		rrxngp	$⊢ I \in V \to I \in NrmGrp$
2		ngptps	$⊢ I \in NrmGrp \to I \in TopSp$
3	1 2	syl	$⊢ I \in V \to I \in TopSp$