Theorems · Theorem · measure theory
MeasureTheory.Measure.AbsolutelyContinuous.trans
∀ {α : Type u_1} {mα : MeasurableSpace α} {μ₁ μ₂ μ₃ : MeasureTheory.Measure α},
μ₁.AbsolutelyContinuous μ₂ → μ₂.AbsolutelyContinuous μ₃ → μ₁.AbsolutelyContinuous μ₃- Cited by
- 17 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Measure.AbsolutelyContinuousstatement and proof · cited by 325
Cited by17
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.QuasiMeasurePreserving.compproof · cited by 21
- MeasureTheory.Measure.rnDeriv_eq_zero_of_mutuallySingularproof · cited by 5
- MeasureTheory.Measure.singularPart_eq_zero_of_acproof · cited by 4
- MeasureTheory.Measure.absolutelyContinuous_of_le_smulproof · cited by 3
- MeasureTheory.Measure.AbsolutelyContinuous.add_left_iffproof · cited by 3
- MeasureTheory.Measure.AbsolutelyContinuous.smul_rightproof · cited by 2
- MeasureTheory.Measure.QuasiMeasurePreserving.mono_leftproof · cited by 2
- MeasureTheory.Measure.AbsolutelyContinuous.compProdproof · cited by 1
- MeasureTheory.IsFundamentalDomain.measure_eq_tsum_of_acproof · cited by 1
- ProbabilityTheory.cond_absolutelyContinuousproof · cited by 1
- MeasureTheory.Measure.absolutelyContinuous_compProd_of_compProdproof · cited by 1
- MeasureTheory.Measure.QuasiMeasurePreserving.mono_rightproof · cited by 1