Theorems · Theorem · real analysis
NNReal.coe_indicator
∀ {α : Type u_2} (s : Set α) (f : α → NNReal) (a : α), ↑(s.indicator f a) = s.indicator (fun x => ↑(f x)) a- Defined in
- Mathlib.Data.NNReal.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Realstatement · cited by 25,697
- NNRealstatement and proof · cited by 4,310
- NNReal.toRealstatement · cited by 1,260
- Set.indicatorstatement · cited by 723
- NNReal.toRealHomproof · cited by 13
- map_indicatorproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- NNReal.coe_singleproof · cited by 2
- MeasureTheory.tendsto_iff_forall_lipschitz_integral_tendstoproof · cited by 1