Theorems · Theorem · general topology
Filter.Eventually.filter_mono
∀ {α : Type u} {f₁ f₂ : Filter α}, f₁ ≤ f₂ → ∀ {p : α → Prop}, (∀ᶠ (x : α) in f₂, p x) → ∀ᶠ (x : α) in f₁, p x- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 84 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, 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
- Set.ofPredproof · cited by 6,101
- Filter.Eventuallystatement and proof · cited by 3,134
Cited by84
Results whose statement or proof uses this declaration.
- MeasureTheory.ae_restrict_of_aeproof · cited by 46
- MeasureTheory.AEStronglyMeasurable.mono_measureproof · cited by 13
- eventually_eventually_nhdsWithinproof · cited by 12
- SemicontinuousAt.semicontinuousWithinAtproof · cited by 9
- AnalyticAt.meromorphicOrderAt_eqproof · cited by 9
- exists_fun_of_mem_tangentConeAtproof · cited by 9
- MeasureTheory.ae_restrict_of_ae_restrict_of_subsetproof · cited by 8
- sum_le_hasSumproof · cited by 7
- Filter.Tendsto.eventually_forall_ge_atTopproof · cited by 7
- LowerSemicontinuousOn.exists_isMinOnproof · cited by 6
- SemicontinuousWithinAt.monoproof · cited by 5
- PhragmenLindelof.isBigO_sub_exp_rpowproof · cited by 5