Theorems · Theorem · group theory
Set.indicator_add_eq_right
∀ {α : Type u_1} {M : Type u_4} [inst : AddZeroClass M] {f g : α → M},
Disjoint (Function.support f) (Function.support g) → (Function.support g).indicator (f + g) = g- Defined in
- Mathlib.Algebra.Group.Indicator
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- zero_addproof · cited by 2,366
- Disjointstatement and proof · cited by 2,201
- AddZeroClassstatement and proof · cited by 1,237
- Set.indicatorstatement · cited by 723
- Function.supportstatement and proof · cited by 610
- Pi.add_applyproof · cited by 61
- Function.notMem_supportproof · cited by 29
- Set.disjoint_rightproof · cited by 17
- Set.indicator_supportproof · cited by 6
- Set.indicator_congrproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.memLp_add_of_disjointproof · cited by 3
- MeasureTheory.integrable_add_of_disjointproof · cited by 0