MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-tset Structured version   Visualization version   GIF version

Definition df-tset 17222
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 17304 instead. (New usage is discouraged.)
Assertion
Ref Expression
df-tset TopSet = Slot 9

Detailed syntax breakdown of Definition df-tset
StepHypRef Expression
1 cts 17209 . 2 class TopSet
2 c9 12275 . . 3 class 9
32cslot 17120 . 2 class Slot 9
41, 3wceq 1533 1 wff TopSet = Slot 9
Colors of variables: wff setvar class
This definition is referenced by:  tsetndx  17303  tsetid  17304  oppgtsetOLD  19268  mgptsetOLD  20047  sratsetOLD  21035  eltpsgOLD  22796  indistpsALTOLD  22867
  Copyright terms: Public domain W3C validator