Theorems · Theorem · general topology
Filter.NeBot.ne
∀ {α : Type u} {f : Filter α}, f.NeBot → f ≠ ⊥- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Bot.botstatement · cited by 4,720
- Filter.NeBotstatement and proof · cited by 853
- Filter.NeBot.ne'proof · cited by 7
Cited by17
Results whose statement or proof uses this declaration.
- isCompact_emptyproof · cited by 17
- Filter.Tendsto.not_tendstoproof · cited by 14
- Filter.eventually_constproof · cited by 8
- disjoint_nhds_nhdsproof · cited by 5
- summable_jacobiTheta₂_term_iffproof · cited by 4
- Filter.NeBot.nonemptyproof · cited by 4
- isLindelof_emptyproof · cited by 3
- AkraBazziRecurrence.GrowsPolynomially.rpowproof · cited by 3
- Filter.subsingleton_iff_exists_le_pureproof · cited by 2
- disjoint_lift'_closure_nhdsproof · cited by 2
- Ultrafilter.exists_leproof · cited by 2
- MeasureTheory.isStoppingTime_of_measurableSet_lt_of_isRightContinuousproof · cited by 1