Theorems · Theorem · general topology
Filter.eventually_iff
∀ {α : Type u} {f : Filter α} {P : α → Prop}, (∀ᶠ (x : α) in f, P x) ↔ {x | P x} ∈ f- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
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.
- Setstatement · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Set.ofPredstatement · cited by 6,101
- Filter.Eventuallystatement · cited by 3,134
Cited by12
Results whose statement or proof uses this declaration.
- Filter.eventually_prod_principal_iffproof · cited by 6
- MeasureTheory.ae_iff_measure_eqproof · cited by 3
- LSeries.tendsto_cpow_mul_atTopproof · cited by 2
- LaurentSeries.Cauchy.coeff_eventually_equalproof · cited by 1
- FirstOrder.Language.Ultraproduct.boundedFormula_realize_castproof · cited by 1
- SeminormedAddGroup.disjoint_nhdsproof · cited by 1
- MeromorphicOn.eventually_codiscreteWithin_analyticAtproof · cited by 1
- Set.indicator_ae_eq_zeroproof · cited by 1
- TendstoUniformlyOnFilter.tendsto_of_eventually_tendstoproof · cited by 1
- MeasureTheory.FiniteMeasure.tendsto_normalize_testAgainstNN_of_tendstoproof · cited by 1
- isCountablyCompact_iff_infinite_subset_has_accPtproof · cited by 0
- SeminormFamily.basisSets_smul_rightproof · cited by 0