Theorems · Theorem · measure theory
AEMeasurable.congr
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} [inst : MeasurableSpace β] {f g : α → β}
{μ : MeasureTheory.Measure α}, AEMeasurable f μ → f =ᵐ[μ] g → AEMeasurable g μ- Cited by
- 10 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- AEMeasurablestatement and proof · cited by 840
- Filter.EventuallyEq.symmproof · cited by 408
- Filter.EventuallyEq.transproof · cited by 123
- AEMeasurable.mkproof · cited by 75
- AEMeasurable.ae_eq_mkproof · cited by 65
- AEMeasurable.measurable_mkproof · cited by 62
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.map_congrproof · cited by 17
- ProbabilityTheory.IdentDistrib.of_ae_eqproof · cited by 3
- aemeasurable_indicator_iffproof · cited by 2
- ProbabilityTheory.hasLaw_smul_dirac_of_ae_eqproof · cited by 2
- aemeasurable_congrproof · cited by 2
- ProbabilityTheory.HasLaw.congrproof · cited by 2
- MeasureTheory.HasPDF.congrproof · cited by 1
- MeasureTheory.NullMeasurable.aemeasurable_of_aerangeproof · cited by 1
- intervalIntegral.integrableOn_deriv_right_of_nonnegproof · cited by 1
- MeasureTheory.TendstoInDistribution.congrproof · cited by 0