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 oMnd

Detailed syntax breakdown

Step Hyp Ref Expression
0 cogrp class oGrp
1 cgrp class Grp
2 comnd class oMnd
3 1 2 cin class Grp oMnd
4 0 3 wceq wff oGrp = Grp oMnd