Theorem grpmndd

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

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

Proof

Step	Hyp	Ref	Expression
1		grpmndd.1	$$⊢\phi \to G\in \mathrm{Grp}$$
2		grpmnd	$$⊢G\in \mathrm{Grp}\to G\in \mathrm{Mnd}$$
3	1 2	syl	$$⊢\phi \to G\in \mathrm{Mnd}$$