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Theorems · Theorem · general topology

IndiscreteTopology.nhds_eq

∀ {α : Type u} [inst : TopologicalSpace α] [IndiscreteTopology α] (a : α), nhds a = ⊤
Defined in
Mathlib.Topology.Order
Cited by
2 results in Mathlib
Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceIndiscreteTopology
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Around this declaration

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

Inseparable.all · cited by 2Inseparable.allclusterPt_of_indiscreteTopology · cited by 0clusterPt_of_indiscreteTo…TopologicalSpace · cited by 24529TopologicalSpaceTop.top · cited by 9680Top.topFilter · cited by 8121Filternhds · cited by 5554nhdsIndiscreteTopology · cited by 43IndiscreteTopologyIndiscreteTopology.eq_top · cited by 4IndiscreteTopology.eq_topnhds_top · cited by 2nhds_topIndiscreteTopology.nhds_eqCITED BYCITES

Cites7

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Cited by2

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