Theorems · Theorem · measure theory
MeasureTheory.withDensity_indicator_one
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : Set α},
MeasurableSet s → μ.withDensity (s.indicator 1) = μ.restrict s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasurableSetstatement and proof · cited by 3,075
- MeasureTheory.Measure.restrictstatement and proof · cited by 1,646
- Set.indicatorstatement · cited by 723
- MeasureTheory.Measure.withDensitystatement · cited by 265
- MeasureTheory.withDensity_oneproof · cited by 8
- MeasureTheory.withDensity_indicatorproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.rnDeriv_restrict_selfproof · cited by 1