Theorems · Theorem · general topology
AccPt.clusterPt
∀ {X : Type u} [inst : TopologicalSpace X] {x : X} {F : Filter X}, AccPt x F → ClusterPt x F- Defined in
- Mathlib.Topology.ClusterPt
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement and proof · cited by 8,121
- inf_le_rightproof · cited by 238
- ClusterPtstatement · cited by 138
- AccPtstatement and proof · cited by 75
- ClusterPt.monoproof · cited by 30
- accPt_iff_clusterPtproof · cited by 7
Cited by6
Results whose statement or proof uses this declaration.
- uniqueDiffWithinAt_iff_accPtproof · cited by 5
- HasDerivWithinAt.nonneg_of_monotoneOnproof · cited by 4
- fderivWithin_zero_of_notMem_closureproof · cited by 1
- HasFDerivWithinAt.of_notMem_closureproof · cited by 1
- derivedSet_subset_closureproof · cited by 1
- clusterPt_principalproof · cited by 0