Theorem trgtmd2

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

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

Proof

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