Users' Mathboxes Mathbox for Thierry Arnoux < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  df-ogrp Structured version   Unicode version

Definition df-ogrp 27563
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.)
Assertion
Ref Expression
df-ogrp  |- oGrp  =  ( Grp  i^i oMnd )

Detailed syntax breakdown of Definition df-ogrp
StepHypRef Expression
1 cogrp 27561 . 2  class oGrp
2 cgrp 15927 . . 3  class  Grp
3 comnd 27560 . . 3  class oMnd
42, 3cin 3460 . 2  class  ( Grp 
i^i oMnd )
51, 4wceq 1383 1  wff oGrp  =  ( Grp  i^i oMnd )
Colors of variables: wff setvar class
This definition is referenced by:  isogrp  27565
  Copyright terms: Public domain W3C validator