| Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > MPE Home > Th. List > df-tset | Structured version Visualization version GIF version | ||
| Description: Define the topology component of a topological space (structure). (Contributed by NM, 4-Sep-2011.) (Revised by Mario Carneiro, 14-Aug-2015.) Use its index-independent form tsetid 17397 instead. (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| df-tset | ⊢ TopSet = Slot 9 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cts 17303 | . 2 class TopSet | |
| 2 | c9 12328 | . . 3 class 9 | |
| 3 | 2 | cslot 17218 | . 2 class Slot 9 |
| 4 | 1, 3 | wceq 1540 | 1 wff TopSet = Slot 9 |
| Colors of variables: wff setvar class |
| This definition is referenced by: tsetndx 17396 tsetid 17397 sratsetOLD 21189 eltpsgOLD 22950 indistpsALTOLD 23021 |
| Copyright terms: Public domain | W3C validator |