Theorem bj-ablssgrp

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

	Ref	Expression
Assertion	bj-ablssgrp	$$⊢\mathrm{Abel}\subseteq \mathrm{Grp}$$

Proof

Step	Hyp	Ref	Expression
1		df-abl	$$⊢\mathrm{Abel}=\mathrm{Grp}\cap \mathrm{CMnd}$$
2		inss1	$$⊢\mathrm{Grp}\cap \mathrm{CMnd}\subseteq \mathrm{Grp}$$
3	1 2	eqsstri	$$⊢\mathrm{Abel}\subseteq \mathrm{Grp}$$