Theorems · Theorem · general topology
Filter.eventually_ne_atBot
∀ {α : Type u_3} [inst : Preorder α] [NoBotOrder α] (a : α), ∀ᶠ (x : α) in Filter.atBot, x ≠ a- Defined in
- Mathlib.Order.Filter.AtTopBot.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Quot.sound
- Assumes
- PreorderNoBotOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Filter.Eventuallystatement · cited by 3,134
- Filter.Eventually.monoproof · cited by 646
- Filter.atBotstatement · cited by 512
- ne_of_ltproof · cited by 203
- NoBotOrderstatement and proof · cited by 43
- Filter.eventually_lt_atBotproof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- summable_jacobiTheta₂'_term_iffproof · cited by 2
- summable_jacobiTheta₂_term_fderiv_iffproof · cited by 2
- Filter.atBot_le_cofiniteproof · cited by 1
- Filter.Tendsto.eventually_ne_atBotproof · cited by 0