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Metamath Proof Explorer

Theorem trggrp

Description: A topological ring is a group. (Contributed by Mario Carneiro, 5-Oct-2015)

		Ref	Expression
	Assertion	trggrp	$⊢ R \in TopRing \to R \in Grp$

Step	Hyp	Ref	Expression
1		trgring	$⊢ R \in TopRing \to R \in Ring$
2		ringgrp	$⊢ R \in Ring \to R \in Grp$
3	1 2	syl	$⊢ R \in TopRing \to R \in Grp$