Theorems · Theorem · general topology
CantorBendixson.perfectKernel_subset_iteratedDerivedSet
∀ {X : Type u} [inst : TopologicalSpace X] (s : Set X) (a : Ordinal.{u}),
CantorBendixson.perfectKernel s ⊆ CantorBendixson.iteratedDerivedSet s a- Defined in
- Mathlib.Topology.CantorBendixson
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 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
- Ordinalstatement and proof · cited by 1,688
- Set.iInter_subsetproof · cited by 39
- CantorBendixson.iteratedDerivedSetstatement and proof · cited by 13
- CantorBendixson.perfectKernelstatement · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- CantorBendixson.perfectKernel_subsetproof · cited by 2
- CantorBendixson.perfectKernel_eq_iteratedDerivedSet_of_mem_fixedPointsproof · cited by 1