Theorems · Theorem · general topology
Set.Infinite.of_accPt
∀ {X : Type u_1} [inst : TopologicalSpace X] [T1Space X] {S : Set X} {x : X}, AccPt x (Filter.principal S) → S.Infinite- Defined in
- Mathlib.Topology.DiscreteSubset
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 96 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.
Cites12
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.complproof · cited by 2,925
- Set.Finiteproof · cited by 1,814
- Filter.principalstatement and proof · cited by 740
- T1Spacestatement and proof · cited by 275
- Set.Infinitestatement · cited by 263
- compl_complproof · cited by 229
- AccPtstatement and proof · cited by 75
- Filter.codiscreteproof · cited by 34
- Set.Finite.compl_mem_codiscreteproof · cited by 2
- mem_codiscrete_accPtproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Complex.derivWithin_const_cpowproof · cited by 1
- isCountablyCompact_iff_infinite_subset_has_accPtproof · cited by 0