Theorem bj-ablssgrp

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

	Ref	Expression
Assertion	bj-ablssgrp	⊢ Abel ⊆ Grp

Proof

Step	Hyp	Ref	Expression
1		df-abl	⊢ Abel = ( Grp ∩ CMnd )
2		inss1	⊢ ( Grp ∩ CMnd ) ⊆ Grp
3	1 2	eqsstri	⊢ Abel ⊆ Grp