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

Definition df-ogrp 32722
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 ∩ oMnd)

Detailed syntax breakdown of Definition df-ogrp
StepHypRef Expression
1 cogrp 32720 . 2 class oGrp
2 cgrp 18861 . . 3 class Grp
3 comnd 32719 . . 3 class oMnd
42, 3cin 3942 . 2 class (Grp ∩ oMnd)
51, 4wceq 1533 1 wff oGrp = (Grp ∩ oMnd)
Colors of variables: wff setvar class
This definition is referenced by:  isogrp  32724
  Copyright terms: Public domain W3C validator