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Theorems · Theorem · general topology

Filter.not_tendsto_const_atBot

∀ {α : Type u_3} {β : Type u_4} [inst : Preorder α] [NoBotOrder α] (x : α) (l : Filter β) [l.NeBot],
  ¬Filter.Tendsto (fun x_1 => x) l Filter.atBot
Defined in
Mathlib.Order.Filter.AtTopBot.Tendsto
Cited by
0 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PreorderNoBotOrderFilter.NeBot
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Filter · cited by 8121FilterPreorder · cited by 7952PreorderFilter.Tendsto · cited by 3814Filter.TendstoFilter.NeBot · cited by 853Filter.NeBotFilter.atBot · cited by 512Filter.atBotNoBotOrder · cited by 43NoBotOrderFilter.Tendsto.not_tendsto · cited by 14Tendsto.not_tendstoFilter.tendsto_const_pure · cited by 9Filter.tendsto_const_pureFilter.disjoint_pure_atBot · cited by 1Filter.disjoint_pure_atBotFilter.not_tendsto_const_atBotCITED BYCITES

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