Theorems · Theorem · measure theory
MeasureTheory.measurable_withDensity
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {β : Type u_2} [inst : MeasurableSpace β]
{f : β → α → ENNReal} [MeasureTheory.SFinite μ],
Measurable (Function.uncurry f) → Measurable fun b => μ.withDensity (f b)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- MeasurableSetproof · cited by 3,075
- Measurablestatement and proof · cited by 1,499
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasureTheory.Measure.withDensitystatement · cited by 265
- MeasureTheory.withDensity_applyproof · cited by 73
- Measurable.lintegral_prod_rightproof · cited by 10
- MeasureTheory.Measure.measurable_measureproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.measurable_gaussianRealproof · cited by 0