Theorem bj-ablsscmnel

Description: Abelian groups are commutative monoids (elemental version). This is a shorter proof of ablcmn . (Contributed by BJ, 9-Jun-2019) (Proof modification is discouraged.)

	Ref	Expression
Assertion	bj-ablsscmnel	$$⊢A\in \mathrm{Abel}\to A\in \mathrm{CMnd}$$

Proof

Step	Hyp	Ref	Expression
1		bj-ablsscmn	$$⊢\mathrm{Abel}\subseteq \mathrm{CMnd}$$
2	1	sseli	$$⊢A\in \mathrm{Abel}\to A\in \mathrm{CMnd}$$