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Theorems · Theorem · general topology

MapClusterPt.clusterPt

∀ {X : Type u} [inst : TopologicalSpace X] {α : Type u_1} {F : Filter α} {u : α → X} {x : X},
  MapClusterPt x F u → ClusterPt x (Filter.map u F)

Alias of the forward direction of mapClusterPt_def.

Defined in
Mathlib.Topology.ClusterPt
Cited by
4 results in Mathlib
Foundations
Depth 51 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MapClusterPt.mono · cited by 6MapClusterPt.monoMapClusterPt.of_comp · cited by 4MapClusterPt.of_compMapClusterPt.frequently · cited by 2MapClusterPt.frequentlyisCountablyCompact_iff_seq_clusterPt · cited by 2isCountablyCompact_iff_se…TopologicalSpace · cited by 24529TopologicalSpaceFilter · cited by 8121FilterFilter.map · cited by 819Filter.mapClusterPt · cited by 138ClusterPtMapClusterPt · cited by 78MapClusterPtmapClusterPt_def · cited by 2mapClusterPt_defMapClusterPt.clusterPtCITED BYCITES

Cites6

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Cited by4

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