Theorems · Definition · general topology
t2Setoid
(X : Type u_1) → [TopologicalSpace X] → Setoid X
The smallest equivalence relation on a topological space giving a T2 quotient.
- Defined in
- Mathlib.Topology.Separation.Hausdorff
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Set.ofPredproof · cited by 6,101
- T2Spaceproof · cited by 1,351
- InfSet.sInfproof · cited by 935
Cited by3
Results whose statement or proof uses this declaration.
- T2Quotient.mkproof · cited by 8
- T2Quotientproof · cited by 8
- T2Quotient.compatiblestatement · cited by 1