Theorems · Theorem · general topology
IsQuasiSeparated.of_quasiSeparatedSpace
∀ {α : Type u_1} [inst : TopologicalSpace α] [QuasiSeparatedSpace α] (s : Set α), IsQuasiSeparated s- Defined in
- Mathlib.Topology.QuasiSeparated
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.subset_univproof · cited by 228
- QuasiSeparatedSpacestatement and proof · cited by 49
- IsQuasiSeparatedstatement · cited by 17
- isQuasiSeparated_univproof · cited by 6
- IsQuasiSeparated.of_subsetproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.exists_isAffineOpen_preimage_eqproof · cited by 1
- QuasiSeparatedSpace.of_isOpenEmbeddingproof · cited by 1