Theorems · Theorem · general topology
Filter.EventuallyEq.add
∀ {α : Type u} {β : Type v} [inst : Add β] {f f' g g' : α → β} {l : Filter α},
f =ᶠ[l] g → f' =ᶠ[l] g' → f + f' =ᶠ[l] g + g'- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- Add
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.comp₂proof · cited by 15
Cited by23
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.addproof · cited by 12
- MeasureTheory.condExp_addproof · cited by 11
- MeasureTheory.condExp_subproof · cited by 9
- MeasureTheory.condExp_indicatorproof · cited by 5
- Filter.eventuallyEq_iff_subproof · cited by 4
- MeasureTheory.martingale_martingalePartproof · cited by 2
- MeasureTheory.Lp.dist_eq_eLpNorm_neg_addproof · cited by 2
- Filter.EventuallyEq.fun_addproof · cited by 2
- MeasureTheory.condExp_stronglyMeasurable_simpleFunc_bilinproof · cited by 2
- MeasureTheory.condExp_finsetSumproof · cited by 2
- Filter.EventuallyEq.add_rightproof · cited by 1
- ContinuousLinearMap.add_compLpproof · cited by 1