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 ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | cogrp | ⊢ oGrp | |
| 1 | cgrp | ⊢ Grp | |
| 2 | comnd | ⊢ oMnd | |
| 3 | 1 2 | cin | ⊢ ( Grp ∩ oMnd ) |
| 4 | 0 3 | wceq | ⊢ oGrp = ( Grp ∩ oMnd ) |