Theorems · Theorem · group theory
Set.indicator_eq_zero_iff_notMem
∀ {ι : Type u_1} (M₀ : Type u_4) [inst : MulZeroOneClass M₀] {s : Set ι} {i : ι} [Nontrivial M₀],
s.indicator 1 i = 0 ↔ i ∉ s- Defined in
- Mathlib.Algebra.GroupWithZero.Indicator
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MulZeroOneClassNontrivial
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Nontrivialstatement and proof · cited by 2,416
- Set.indicatorstatement · cited by 723
- MulZeroOneClassstatement and proof · cited by 184
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.map_constproof · cited by 6
- LocallyConstant.charFn_eq_zeroproof · cited by 0