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Theorems · Theorem · general topology

eventually_ge_nhds

∀ {α : Type u} [inst : TopologicalSpace α] [inst_1 : LinearOrder α] [ClosedIicTopology α] {a b : α},
  b < a → ∀ᶠ (x : α) in nhds a, b ≤ x
Defined in
Mathlib.Topology.Order.OrderClosed
Cited by
1 results in Mathlib
Foundations
Depth 62 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpaceLinearOrderClosedIicTopology
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Around this declaration

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

Filter.Tendsto.eventually_const_le · cited by 10Tendsto.eventually_const_…TopologicalSpace · cited by 24529TopologicalSpaceLinearOrder · cited by 8572LinearOrdernhds · cited by 5554nhdsFilter.Eventually · cited by 3134Filter.EventuallyClosedIicTopology · cited by 115ClosedIicTopologyIci_mem_nhds · cited by 9Ici_mem_nhdseventually_ge_nhdsCITED BYCITES

Cites6

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Cited by1

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