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Theorems · Theorem · general topology

ClusterPt.of_inf_left

∀ {X : Type u} [inst : TopologicalSpace X] {x : X} {f g : Filter X}, ClusterPt x (f ⊓ g) → ClusterPt x f
Defined in
Mathlib.Topology.ClusterPt
Cited by
2 results in Mathlib
Foundations
Depth 53 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.

IsLindelof.adherence_nhdset · cited by 0IsLindelof.adherence_nhds…IsCompact.adherence_nhdset · cited by 0IsCompact.adherence_nhdsetTopologicalSpace · cited by 24529TopologicalSpaceFilter · cited by 8121Filterinf_le_left · cited by 286inf_le_leftClusterPt · cited by 138ClusterPtClusterPt.mono · cited by 30ClusterPt.monoClusterPt.of_inf_leftCITED BYCITES

Cites5

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Cited by2

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