Theorems · Theorem · general topology
Filter.eventuallyEq_iff_sub
∀ {α : Type u} {β : Type v} [inst : AddGroup β] {f g : α → β} {l : Filter α}, f =ᶠ[l] g ↔ f - g =ᶠ[l] 0- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- AddGroupstatement and proof · cited by 4,410
- zero_addproof · cited by 2,366
- Filter.EventuallyEqstatement and proof · cited by 1,912
- sub_add_cancelproof · cited by 344
- Filter.EventuallyEq.reflproof · cited by 108
- Filter.EventuallyEq.addproof · cited by 23
- Filter.EventuallyEq.sub_eqproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- MeromorphicAt.eventuallyEq_nhdsNE_of_eventuallyEq_codiscreteWithinproof · cited by 5
- MeasureTheory.martingalePart_add_ae_eqproof · cited by 1
- MeromorphicAt.frequently_eq_iff_eventuallyEqproof · cited by 0
- MeasureTheory.martingale_of_condExp_sub_eq_zero_natproof · cited by 0