Definition df-abl 18990

Description: Define class of all Abelian groups. (Contributed by NM, 17-Oct-2011.) (Revised by Mario Carneiro, 6-Jan-2015.)

Assertion

Ref	Expression
df-abl	⊢ Abel = (Grp ∩ CMnd)

Detailed syntax breakdown of Definition df-abl

Step	Hyp	Ref	Expression
1		cabl 18988	. 2 class Abel
2		cgrp 18183	. . 3 class Grp
3		ccmn 18987	. . 3 class CMnd
4	2, 3	cin 3859	. 2 class (Grp ∩ CMnd)
5	1, 4	wceq 1538	1 wff Abel = (Grp ∩ CMnd)

This definition is referenced by:  isabl  18991  bj-ablssgrp  35006  bj-ablsscmn  35008