Theorems · Theorem · probability
MeasureTheory.Measure.AbsolutelyContinuous.comp_right
∀ {α : Type u_1} {γ : Type u_3} {mα : MeasurableSpace α} {mγ : MeasurableSpace γ} {μ ν : MeasureTheory.Measure α},
μ.AbsolutelyContinuous ν → ∀ (κ : ProbabilityTheory.Kernel α γ), (μ.bind ⇑κ).AbsolutelyContinuous (ν.bind ⇑κ)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- MeasurableSetproof · cited by 3,075
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.Measure.AbsolutelyContinuousstatement and proof · cited by 325
- MeasureTheory.Measure.bindstatement and proof · cited by 173
- ProbabilityTheory.Kernel.measurable_coeproof · cited by 44
- MeasureTheory.Measure.AbsolutelyContinuous.mkproof · cited by 38
- MeasureTheory.lintegral_eq_zero_iffproof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.AbsolutelyContinuous.compproof · cited by 0