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- Cited by
- 22 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- MeasurableSpacestatement and proof · cited by 13,106
- ContinuousLinearMapstatement and proof · cited by 5,352
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- BorelSpacestatement and proof · cited by 1,602
- Measurablestatement · cited by 1,499
- OpensMeasurableSpacestatement and proof · cited by 636
- Continuous.measurableproof · cited by 181
- ContinuousLinearMap.continuousproof · cited by 124
Cited by22
Results whose statement or proof uses this declaration.
- ProbabilityTheory.HasGaussianLaw.mapproof · cited by 15
- ProbabilityTheory.integral_id_multivariateGaussianproof · cited by 5
- ProbabilityTheory.covarianceBilinDual_self_eq_varianceproof · cited by 5
- ProbabilityTheory.HasGaussianLaw.charFunDual_map_eqproof · cited by 4
- MeasureTheory.charFun_map_eq_charFunDual_smulproof · cited by 3
- ProbabilityTheory.covarianceBilin_multivariateGaussianproof · cited by 3
- ProbabilityTheory.IsGaussian.memLp_dualproof · cited by 2
- MeasureTheory.charFunDual_eq_charFun_map_oneproof · cited by 2
- MeasureTheory.charFunDual_mapproof · cited by 2
- ProbabilityTheory.hasGaussianLaw_iff_charFunDual_map_eqproof · cited by 1
- NumberField.mixedEmbedding.volume_eq_two_pi_pow_mul_integralproof · cited by 1
- ProbabilityTheory.IsGaussian.nullSingletonClassproof · cited by 1