Theorem cmnmndd

Description: A commutative monoid is a monoid. (Contributed by SN, 1-Jun-2024)

	Ref	Expression
Hypothesis	cmnmndd.1	$$⊢\phi \to G\in \mathrm{CMnd}$$
Assertion	cmnmndd	$$⊢\phi \to G\in \mathrm{Mnd}$$

Proof

Step	Hyp	Ref	Expression
1		cmnmndd.1	$$⊢\phi \to G\in \mathrm{CMnd}$$
2		cmnmnd	$$⊢G\in \mathrm{CMnd}\to G\in \mathrm{Mnd}$$
3	1 2	syl	$$⊢\phi \to G\in \mathrm{Mnd}$$