Theorems · Definition · general topology
Filter.EventuallyEq
{α : Type u_1} → {β : Type u_2} → Filter α → (α → β) → (α → β) → PropTwo functions f and g are eventually equal along a filter l if the set of x such that
f x = g x belongs to l.
- Defined in
- Mathlib.Order.Filter.Defs
- Cited by
- 1,912 results in Mathlib
- Foundations
- Depth 6 from the axioms, rests on 13 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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.Eventuallyproof · cited by 3,134
Cited by1,946
Results whose statement or proof uses this declaration.
- AEMeasurableproof · cited by 840
- MeasureTheory.AEStronglyMeasurableproof · cited by 755
- Filter.EventuallyEq.symmstatement and proof · cited by 408
- Filter.Tendsto.congr'statement and proof · cited by 154
- Filter.EventuallyEq.transstatement and proof · cited by 123
- MeasureTheory.integral_congr_aestatement and proof · cited by 110
- Filter.EventuallyEq.reflstatement · cited by 108
- MeasureTheory.lintegral_congr_aestatement and proof · cited by 95
- MeasureTheory.AEStronglyMeasurable.ae_eq_mkstatement · cited by 77
- AEMeasurable.ae_eq_mkstatement · cited by 65
- MeasureTheory.measurableSet_toMeasurableproof · cited by 62
- Filter.EventuallyEq.filter_monostatement and proof · cited by 59
Showing the 200 most cited of 1,946.