Theorems · Theorem · general topology
stableUnderSpecialization_compl_iff
∀ {X : Type u_1} [inst : TopologicalSpace X] {s : Set X}, StableUnderSpecialization sᶜ ↔ StableUnderGeneralization s- Defined in
- Mathlib.Topology.Inseparable
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 58 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
- Compl.complstatement · cited by 2,925
- StableUnderSpecializationstatement · cited by 32
- StableUnderGeneralizationstatement · cited by 24
- isLowerSet_complproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- StableUnderGeneralization.complproof · cited by 1
- stableUnderGeneralization_iff_exists_sInter_eqproof · cited by 0