This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.
Description: Define the orthocomplementation extractor for posets and related structures. (Contributed by NM, 4-Sep-2011) (Revised by Mario Carneiro, 14-Aug-2015) Use its index-independent form ocid instead. (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-ocomp | ⊢ oc = Slot ; 1 1 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | coc | ⊢ oc | |
| 1 | c1 | ⊢ 1 | |
| 2 | 1 1 | cdc | ⊢ ; 1 1 |
| 3 | 2 | cslot | ⊢ Slot ; 1 1 |
| 4 | 0 3 | wceq | ⊢ oc = Slot ; 1 1 |