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 ) |
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 ) |