Theorem grpmndd

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

	Ref	Expression
Hypothesis	grpmndd.1	⊢ ( 𝜑 → 𝐺 ∈ Grp )
Assertion	grpmndd	⊢ ( 𝜑 → 𝐺 ∈ Mnd )

Proof

Step	Hyp	Ref	Expression
1		grpmndd.1	⊢ ( 𝜑 → 𝐺 ∈ Grp )
2		grpmnd	⊢ ( 𝐺 ∈ Grp → 𝐺 ∈ Mnd )
3	1 2	syl	⊢ ( 𝜑 → 𝐺 ∈ Mnd )