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Metamath Proof Explorer

Theorem trgtmd2

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

		Ref	Expression
	Assertion	trgtmd2	$⊢ R \in TopRing \to R \in TopMnd$

Step	Hyp	Ref	Expression
1		trgtgp	$⊢ R \in TopRing \to R \in TopGrp$
2		tgptmd	$⊢ R \in TopGrp \to R \in TopMnd$
3	1 2	syl	$⊢ R \in TopRing \to R \in TopMnd$