Theorems · Theorem · measure theory
MeasureTheory.Measure.measurable_rnDeriv
∀ {α : Type u_1} {m : MeasurableSpace α} (μ ν : MeasureTheory.Measure α), Measurable (μ.rnDeriv ν)- Cited by
- 75 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Measurablestatement and proof · cited by 1,499
- MeasureTheory.Measure.rnDerivstatement · cited by 234
- MeasureTheory.Measure.HaveLebesgueDecompositionproof · cited by 92
- measurable_zeroproof · cited by 17
- MeasureTheory.Measure.haveLebesgueDecomposition_specproof · cited by 6
- MeasureTheory.Measure.rnDeriv_of_not_haveLebesgueDecompositionproof · cited by 3
Cited by75
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.rnDeriv_lt_topproof · cited by 21
- MeasureTheory.SignedMeasure.integrable_rnDerivproof · cited by 9
- MeasureTheory.Measure.rnDeriv_posproof · cited by 9
- MeasureTheory.Measure.rnDeriv_add'proof · cited by 8
- MeasureTheory.Measure.integrable_toReal_rnDerivproof · cited by 8
- ProbabilityTheory.Kernel.measurable_rnDerivAuxproof · cited by 8
- MeasureTheory.setLIntegral_condLExpproof · cited by 8
- MeasureTheory.SignedMeasure.singularPart_add_withDensity_rnDeriv_eqproof · cited by 6
- MeasureTheory.Measure.rnDeriv_eq_zeroproof · cited by 6
- MeasureTheory.Measure.rnDeriv_selfproof · cited by 6
- ProbabilityTheory.measurable_preCDFproof · cited by 6
- MeasureTheory.integral_rnDeriv_smulproof · cited by 5