Theorem ablcmnd

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

	Ref	Expression
Hypothesis	ablcmnd.1	⊢ ( 𝜑 → 𝐺 ∈ Abel )
Assertion	ablcmnd	⊢ ( 𝜑 → 𝐺 ∈ CMnd )

Proof

Step	Hyp	Ref	Expression
1		ablcmnd.1	⊢ ( 𝜑 → 𝐺 ∈ Abel )
2		ablcmn	⊢ ( 𝐺 ∈ Abel → 𝐺 ∈ CMnd )
3	1 2	syl	⊢ ( 𝜑 → 𝐺 ∈ CMnd )