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	$$⊢A\in \mathrm{Abel}\to A\in \mathrm{Grp}$$

Proof

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