Theorem bj-ablsscmn

Description: Abelian groups are commutative monoids. (Contributed by BJ, 9-Jun-2019) (Proof modification is discouraged.)

	Ref	Expression
Assertion	bj-ablsscmn	⊢ Abel ⊆ CMnd

Proof

Step	Hyp	Ref	Expression
1		df-abl	⊢ Abel = ( Grp ∩ CMnd )
2		inss2	⊢ ( Grp ∩ CMnd ) ⊆ CMnd
3	1 2	eqsstri	⊢ Abel ⊆ CMnd