Theorems · Theorem · general topology
Filter.EventuallyConst.of_indicator_const
∀ {α : Type u_1} {β : Type u_2} {l : Filter α} [inst : Zero β] {s : Set α} {c : β},
Filter.EventuallyConst (s.indicator fun x => c) l → c ≠ 0 → Filter.EventuallyConst s l- Defined in
- Mathlib.Order.Filter.EventuallyConst
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 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.
Cites6
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
- Set.indicatorstatement and proof · cited by 723
- Filter.EventuallyConststatement and proof · cited by 93
- Filter.EventuallyConst.compproof · cited by 8
- Set.indicator_apply_eq_selfproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Filter.EventuallyConst.indicator_const_iff_of_neproof · cited by 1