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 ∈ Abel → 𝐴 ∈ CMnd )

Proof

Step	Hyp	Ref	Expression
1		bj-ablsscmn	⊢ Abel ⊆ CMnd
2	1	sseli	⊢ ( 𝐴 ∈ Abel → 𝐴 ∈ CMnd )