Theorems · Theorem · general topology
isClosed_diagonal
∀ {X : Type u_1} [inst : TopologicalSpace X] [T2Space X], IsClosed (Set.diagonal X)- Defined in
- Mathlib.Topology.Separation.Hausdorff
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceT2Space
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- IsClosedstatement · cited by 1,639
- T2Spacestatement and proof · cited by 1,351
- Set.diagonalstatement · cited by 42
- t2_iff_isClosed_diagonalproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- isClosed_eqproof · cited by 71
- MeasureTheory.StronglyMeasurable.measurableSet_eq_funproof · cited by 3
- IsClosed.isClosed_eqproof · cited by 0