Theorems · Theorem · general topology
Filter.not_eventually
∀ {α : Type u} {p : α → Prop} {f : Filter α}, (¬∀ᶠ (x : α) in f, p x) ↔ ∃ᶠ (x : α) in f, ¬p x- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.Eventuallystatement and proof · cited by 3,134
- Filter.Frequentlystatement · cited by 414
Cited by7
Results whose statement or proof uses this declaration.
- ENNReal.limsup_const_mulproof · cited by 3
- MeromorphicOn.isClopen_setOfPred_meromorphicOrderAt_eq_topproof · cited by 2
- AnalyticAt.eventually_constant_or_nhds_le_map_nhds_auxproof · cited by 1
- DiffContOnCl.ball_subset_image_closedBallproof · cited by 1
- ProbabilityTheory.measure_limsup_eq_oneproof · cited by 0
- MeasureTheory.exists_ne_forall_mem_nhds_pos_measure_preimageproof · cited by 0
- LowerHemicontinuousAt.of_sequencesproof · cited by 0