Metamath Proof Explorer


Definition df-ogrp

Description: Define class of all ordered groups. An ordered group is a group with a total ordering compatible with its operation. (Contributed by Thierry Arnoux, 13-Mar-2018)

Ref Expression
Assertion df-ogrp
|- oGrp = ( Grp i^i oMnd )

Detailed syntax breakdown

Step Hyp Ref Expression
0 cogrp
 |-  oGrp
1 cgrp
 |-  Grp
2 comnd
 |-  oMnd
3 1 2 cin
 |-  ( Grp i^i oMnd )
4 0 3 wceq
 |-  oGrp = ( Grp i^i oMnd )