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Theorems · Theorem · measure theory

ContinuousLinearMap.measurable

∀ {R : Type u_2} {E : Type u_3} {F : Type u_4} [inst : Semiring R] [inst_1 : SeminormedAddCommGroup E]
  [inst_2 : Module R E] [inst_3 : MeasurableSpace E] [OpensMeasurableSpace E] [inst_5 : SeminormedAddCommGroup F]
  [inst_6 : Module R F] [inst_7 : MeasurableSpace F] [BorelSpace F] (L : E →L[R] F), Measurable ⇑L
Defined in
Mathlib.MeasureTheory.Constructions.BorelSpace.ContinuousLinearMap
Cited by
22 results in Mathlib
Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringSeminormedAddCommGroupModuleMeasurableSpaceOpensMeasurableSpaceSeminormedAddCommGroupModuleMeasurableSpaceBorelSpace

Around this declaration

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

ProbabilityTheory.HasGaussianLaw.map · cited by 15HasGaussianLaw.mapProbabilityTheory.integral_id_multivariateGaussian · cited by 5ProbabilityTheory.integra…ProbabilityTheory.covarianceBilinDual_self_eq_variance · cited by 5ProbabilityTheory.covaria…ProbabilityTheory.HasGaussianLaw.charFunDual_map_eq · cited by 4HasGaussianLaw.charFunDua…MeasureTheory.charFun_map_eq_charFunDual_smul · cited by 3MeasureTheory.charFun_map…ProbabilityTheory.covarianceBilin_multivariateGaussian · cited by 3ProbabilityTheory.covaria…ProbabilityTheory.IsGaussian.memLp_dual · cited by 2IsGaussian.memLp_dualMeasureTheory.charFunDual_eq_charFun_map_one · cited by 2MeasureTheory.charFunDual…MeasureTheory.charFunDual_map · cited by 2MeasureTheory.charFunDual…ProbabilityTheory.hasGaussianLaw_iff_charFunDual_map_eq · cited by 1ProbabilityTheory.hasGaus…NumberField.mixedEmbedding.volume_eq_two_pi_pow_mul_integral · cited by 1mixedEmbedding.volume_eq_…ProbabilityTheory.IsGaussian.nullSingletonClass · cited by 1IsGaussian.nullSingletonC…ProbabilityTheory.IndepFun.hasGaussianLaw_sub_of_sub · cited by 1IndepFun.hasGaussianLaw_s…ProbabilityTheory.measurePreserving_restrict₂_multivariateGaussian · cited by 1ProbabilityTheory.measure…ProbabilityTheory.measure_le_mul_measure_gt_le_of_map_rotation_eq_self · cited by 1ProbabilityTheory.measure…DFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idSemiring · cited by 13802SemiringMeasurableSpace · cited by 13106MeasurableSpaceContinuousLinearMap · cited by 5352ContinuousLinearMapSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupBorelSpace · cited by 1602BorelSpaceMeasurable · cited by 1499MeasurableOpensMeasurableSpace · cited by 636OpensMeasurableSpaceContinuous.measurable · cited by 181Continuous.measurableContinuousLinearMap.continuous · cited by 124ContinuousLinearMap.conti…ContinuousLinearMap.measurableCITED BYCITES

Cites12

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Cited by22

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