Theorems · Theorem · measure theory
Set.indicator_support
∀ {α : Type u_1} {M : Type u_3} [inst : Zero M] {f : α → M}, (Function.support f).indicator f = f- Defined in
- Mathlib.Algebra.Notation.Indicator
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 16 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.indicatorstatement · cited by 723
- Function.supportstatement · cited by 610
- Set.Subset.rflproof · cited by 255
- Set.indicator_eq_selfproof · cited by 8
Cited by6
Results whose statement or proof uses this declaration.
- Set.indicator_add_eq_leftproof · cited by 2
- Set.indicator_add_eq_rightproof · cited by 2
- Set.indicator_inter_supportproof · cited by 2
- MeasureTheory.Lp.induction_stronglyMeasurableproof · cited by 1
- finsum_apply_ne_zeroproof · cited by 1
- finsum_mem_supportproof · cited by 0