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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-ogrp | Structured version Visualization version GIF version |
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 |
---|---|
df-ogrp | ⊢ oGrp = (Grp ∩ oMnd) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cogrp 31320 | . 2 class oGrp | |
2 | cgrp 18575 | . . 3 class Grp | |
3 | comnd 31319 | . . 3 class oMnd | |
4 | 2, 3 | cin 3891 | . 2 class (Grp ∩ oMnd) |
5 | 1, 4 | wceq 1542 | 1 wff oGrp = (Grp ∩ oMnd) |
Colors of variables: wff setvar class |
This definition is referenced by: isogrp 31324 |
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