Theorem bj-ablssgrpel

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

	Ref	Expression
Assertion	bj-ablssgrpel	⊢ ( 𝐴 ∈ Abel → 𝐴 ∈ Grp )

Proof

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