Theorems · Theorem · measure theory
MeasureTheory.Measure.AbsolutelyContinuous.ae_eq
∀ {α : Type u_1} {δ : Type u_3} {mα : MeasurableSpace α} {μ ν : MeasureTheory.Measure α},
μ.AbsolutelyContinuous ν → ∀ {f g : α → δ}, f =ᵐ[ν] g → f =ᵐ[μ] g- Cited by
- 10 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Set.ofPredproof · cited by 6,101
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- MeasureTheory.Measure.AbsolutelyContinuousstatement and proof · cited by 325
- MeasureTheory.Measure.AbsolutelyContinuous.ae_leproof · cited by 26
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.mono_acproof · cited by 14
- MeasureTheory.Measure.AbsolutelyContinuous.compProd_leftproof · cited by 5
- MeasureTheory.setToFun_congr_measure_of_integrableproof · cited by 5
- MeasureTheory.Measure.rnDeriv_add_right_of_mutuallySingular'proof · cited by 1
- MeasureTheory.Measure.AbsolutelyContinuous.comp_rightproof · cited by 1
- MeasureTheory.Measure.rnDeriv_withDensity_right_of_absolutelyContinuousproof · cited by 1
- MeasureTheory.Measure.rnDeriv_withDensity_rnDerivproof · cited by 1
- MeasureTheory.Measure.rnDeriv_withDensity_withDensity_rnDeriv_rightproof · cited by 1
- MeasureTheory.L1.SimpleFunc.setToL1S_congr_measureproof · cited by 1
- MeasureTheory.withDensity_ae_eqproof · cited by 0