Theorems · Theorem · general topology
isClosed_derivedSet
∀ {X : Type u_1} [inst : TopologicalSpace X] [T1Space X] (A : Set X), IsClosed (derivedSet A)- Defined in
- Mathlib.Topology.DerivedSet
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceT1Space
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- IsClosedstatement and proof · cited by 1,639
- closureproof · cited by 1,254
- T1Spacestatement and proof · cited by 275
- derivedSetstatement and proof · cited by 16
- derivedSet_monoproof · cited by 3
- isClosed_iff_derivedSet_subsetproof · cited by 3
- derivedSet_closureproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.