Theorem bj-ablsscmn

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

	Ref	Expression
Assertion	bj-ablsscmn	$$⊢\mathrm{Abel}\subseteq \mathrm{CMnd}$$

Proof

Step	Hyp	Ref	Expression
1		df-abl	$$⊢\mathrm{Abel}=\mathrm{Grp}\cap \mathrm{CMnd}$$
2		inss2	$$⊢\mathrm{Grp}\cap \mathrm{CMnd}\subseteq \mathrm{CMnd}$$
3	1 2	eqsstri	$$⊢\mathrm{Abel}\subseteq \mathrm{CMnd}$$