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 i^i CMnd )

Detailed syntax breakdown

Step Hyp Ref Expression
0 cabl
 |-  Abel
1 cgrp
 |-  Grp
2 ccmn
 |-  CMnd
3 1 2 cin
 |-  ( Grp i^i CMnd )
4 0 3 wceq
 |-  Abel = ( Grp i^i CMnd )