Metamath Proof Explorer


Definition df-abl

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

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

Detailed syntax breakdown

Step Hyp Ref Expression
0 cabl ⊢ Abel
1 cgrp ⊢ Grp
2 ccmn ⊢ CMnd
3 1 2 cin ⊢ ( Grp ∩ CMnd )
4 0 3 wceq ⊢ Abel = ( Grp ∩ CMnd )