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Theorems · Theorem · measure theory

MeasureTheory.Measure.map_congr

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {μ : MeasureTheory.Measure α}
  {f g : α → β}, f =ᵐ[μ] g → MeasureTheory.Measure.map f μ = MeasureTheory.Measure.map g μ
Defined in
Mathlib.MeasureTheory.Measure.Map
Cited by
17 results in Mathlib
Foundations
Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.integral_map · cited by 67MeasureTheory.integral_mapMeasureTheory.lintegral_map' · cited by 14MeasureTheory.lintegral_m…ProbabilityTheory.condDistrib_ae_eq_of_measure_eq_compProd · cited by 4ProbabilityTheory.condDis…ProbabilityTheory.condDistrib_congr · cited by 3ProbabilityTheory.condDis…ProbabilityTheory.IdentDistrib.of_ae_eq · cited by 3IdentDistrib.of_ae_eqProbabilityTheory.hasLaw_smul_dirac_of_ae_eq · cited by 2ProbabilityTheory.hasLaw_…ProbabilityTheory.HasLaw.congr · cited by 2HasLaw.congrMeasureTheory.Measure.bind_congr_right · cited by 2Measure.bind_congr_rightProbabilityTheory.map_restrict_eq_of_forall_ae_eq · cited by 2ProbabilityTheory.map_res…MeasureTheory.Measure.QuasiMeasurePreserving.congr · cited by 1QuasiMeasurePreserving.co…MeasureTheory.Measure.restrict_map_of_aemeasurable · cited by 1Measure.restrict_map_of_a…MeasureTheory.MeasurePreserving.congr · cited by 1MeasurePreserving.congrProbabilityTheory.HasGaussianLaw.congr · cited by 1HasGaussianLaw.congrMeasureTheory.HasPDF.congr · cited by 1HasPDF.congrMeasureTheory.pdf.congr · cited by 0pdf.congrMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.ae · cited by 2352MeasureTheory.aeFilter.EventuallyEq · cited by 1912Filter.EventuallyEqMeasureTheory.Measure.map · cited by 858Measure.mapAEMeasurable · cited by 840AEMeasurableFilter.EventuallyEq.symm · cited by 408EventuallyEq.symmFilter.EventuallyEq.trans · cited by 123EventuallyEq.transAEMeasurable.ae_eq_mk · cited by 65AEMeasurable.ae_eq_mkAEMeasurable.measurable_mk · cited by 62AEMeasurable.measurable_mkMeasureTheory.Measure.map_of_not_aemeasurable · cited by 21Measure.map_of_not_aemeas…AEMeasurable.congr · cited by 10AEMeasurable.congrMeasureTheory.Measure.mapₗ_congr · cited by 3Measure.mapₗ_congrMeasureTheory.Measure.mapₗ_mk_apply_of_aemeasurable · cited by 3Measure.mapₗ_mk_apply_of_…aemeasurable_congr · cited by 2aemeasurable_congrMeasure.map_congrCITED BYCITES

Cites15

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Cited by17

Results whose statement or proof uses this declaration.