Metamath Proof Explorer


Definition df-ocomp

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

Detailed syntax breakdown

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