Theorems · Theorem · general topology
mem_derivedSet
∀ {X : Type u_1} [inst : TopologicalSpace X] {A : Set X} {x : X}, x ∈ derivedSet A ↔ AccPt x (Filter.principal A)- Defined in
- Mathlib.Topology.DerivedSet
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Filter.principalstatement · cited by 740
- AccPtstatement · cited by 75
- derivedSetstatement · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- derivedSet_closureproof · cited by 1