Theorems · Theorem · general topology
Filter.EventuallyEq.trans
∀ {α : Type u} {β : Type v} {l : Filter α} {f g h : α → β}, f =ᶠ[l] g → g =ᶠ[l] h → f =ᶠ[l] h- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 123 results in Mathlib
- Foundations
- Depth 13 from the axioms, rests on 27 definitions · uses no axioms
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.EventuallyEqstatement and proof · cited by 1,912
- Filter.EventuallyEq.rwproof · cited by 3
Cited by123
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.map_smulproof · cited by 21
- MeasureTheory.AEStronglyMeasurable.congrproof · cited by 19
- MeasureTheory.condExp_congr_aeproof · cited by 17
- MeasureTheory.Measure.map_congrproof · cited by 17
- MeasureTheory.condExp_addproof · cited by 11
- AEMeasurable.congrproof · cited by 10
- AEMeasurable.comp_aemeasurableproof · cited by 9
- MeasureTheory.condExp_subproof · cited by 9
- MeasureTheory.condExp_restrict_ae_eq_restrictproof · cited by 8
- aestronglyMeasurable_indicator_iffproof · cited by 8
- MeasureTheory.AEStronglyMeasurable.comp_aemeasurableproof · cited by 8
- ProbabilityTheory.condExpKernel_ae_eq_condExpproof · cited by 7