Theorems · Definition · general topology
HasSeparatingCover
{X : Type u_1} → [TopologicalSpace X] → Set X → Set X → PropHasSeparatingCovers can be useful witnesses for SeparatedNhds.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 60 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.iUnionproof · cited by 2,483
- IsOpenproof · cited by 2,400
- Disjointproof · cited by 2,201
- closureproof · cited by 1,254
Cited by6
Results whose statement or proof uses this declaration.
- hasSeparatingCovers_iff_separatedNhdsstatement and proof · cited by 1
- Set.hasSeparatingCover_empty_leftstatement · cited by 1
- HasSeparatingCover.monostatement and proof · cited by 0
- Disjoint.hasSeparatingCover_closed_gdelta_rightstatement and proof · cited by 0
- IsClosed.HasSeparatingCoverstatement and proof · cited by 0
- Set.hasSeparatingCover_empty_rightstatement · cited by 0