Theorems · Theorem · measure theory
MeasureTheory.ae_mono
∀ {α : Type u_1} {mα : MeasurableSpace α} {μ ν : MeasureTheory.Measure α},
μ ≤ ν → MeasureTheory.ae μ ≤ MeasureTheory.ae ν- Cited by
- 22 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Filterstatement · cited by 8,121
- MeasureTheory.aestatement · cited by 2,352
- MeasureTheory.Measure.AbsolutelyContinuous.ae_leproof · cited by 26
- LE.le.absolutelyContinuousproof · cited by 20
Cited by22
Results whose statement or proof uses this declaration.
- MeasureTheory.ae_restrict_of_aeproof · cited by 46
- MeasureTheory.AEStronglyMeasurable.mono_measureproof · cited by 13
- MeasureTheory.ae_restrict_of_ae_restrict_of_subsetproof · cited by 8
- MeasureTheory.ae_restrict_leproof · cited by 5
- MeasureTheory.integral_mono_measureproof · cited by 5
- MeasureTheory.ae_restrict_iUnion_eqproof · cited by 4
- MeasureTheory.lintegral_comp_eq_lintegral_meas_le_mulproof · cited by 3
- MeasureTheory.aemeasurable_fderivWithinproof · cited by 2
- MeasureTheory.integral_union_eq_left_of_aeproof · cited by 2
- VitaliFamily.ae_tendsto_measure_inter_divproof · cited by 2
- intervalIntegral.sub_le_integral_of_hasDeriv_right_of_le_Icoproof · cited by 1
- MeasureTheory.setToFun_of_le_mapproof · cited by 1