Theorem trgtmd2

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

	Ref	Expression
Assertion	trgtmd2	⊢ ( 𝑅 ∈ TopRing → 𝑅 ∈ TopMnd )

Proof

Step	Hyp	Ref	Expression
1		trgtgp	⊢ ( 𝑅 ∈ TopRing → 𝑅 ∈ TopGrp )
2		tgptmd	⊢ ( 𝑅 ∈ TopGrp → 𝑅 ∈ TopMnd )
3	1 2	syl	⊢ ( 𝑅 ∈ TopRing → 𝑅 ∈ TopMnd )