Theorems · Theorem · general topology
Filter.Tendsto.neBot
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {x : Filter α} {y : Filter β},
Filter.Tendsto f x y → ∀ [hx : x.NeBot], y.NeBot- Defined in
- Mathlib.Order.Filter.Tendsto
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Filter.NeBot
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.NeBotstatement and proof · cited by 853
- Filter.NeBot.monoproof · cited by 17
- Filter.NeBot.mapproof · cited by 12
Cited by8
Results whose statement or proof uses this declaration.
- IsCompact.image_of_continuousOnproof · cited by 24
- Filter.Tendsto.not_tendstoproof · cited by 14
- MapClusterPt.tendsto_comp'proof · cited by 1
- Topology.IsClosedEmbedding.noncompactSpaceproof · cited by 1
- IsLindelof.image_of_continuousOnproof · cited by 1
- IsCountablyCompact.imageproof · cited by 1
- Module.punctured_nhds_neBotproof · cited by 0
- Topology.IsClosedEmbedding.nonLindelofSpaceproof · cited by 0