Theorems · Theorem · general topology
indicator_eventuallyEq
∀ {α : Type u_1} {M : Type u_3} [inst : Zero M] {s t : Set α} {f g : α → M} {l : Filter α},
f =ᶠ[l ⊓ Filter.principal s] g → s =ᶠ[l] t → s.indicator f =ᶠ[l] t.indicator g- Defined in
- Mathlib.Order.Filter.IndicatorFunction
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Filter.EventuallyEqstatement and proof · cited by 1,912
- Filter.principalstatement and proof · cited by 740
- Set.indicatorstatement · cited by 723
- Filter.Eventually.monoproof · cited by 646
- Set.indicator_of_memproof · cited by 161
- Set.indicator_of_notMemproof · cited by 154
- Filter.Eventually.mpproof · cited by 78
- by_casesproof · cited by 31
- Filter.eventually_inf_principalproof · cited by 18
- Filter.EventuallyEq.mem_iffproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Filter.indicator_const_eventuallyEqproof · cited by 1
- Filter.EventuallyEq.indicatorproof · cited by 1