Theorems · Theorem · measure theory
AEMeasurable.sub_const
∀ {G : Type u_2} {α : Type u_3} [inst : MeasurableSpace G] [inst_1 : Sub G] {m : MeasurableSpace α} {f : α → G}
{μ : MeasureTheory.Measure α} [MeasurableSub G], AEMeasurable f μ → ∀ (c : G), AEMeasurable (fun x => f x - c) μ- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 175 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
- AEMeasurablestatement and proof · cited by 840
- Measurable.comp_aemeasurableproof · cited by 99
- MeasurableSubstatement and proof · cited by 8
- MeasurableSub.measurable_sub_constproof · cited by 3
Cited by9
Results whose statement or proof uses this declaration.
- ProbabilityTheory.variance_mapproof · cited by 11
- ProbabilityTheory.variance_eq_integralproof · cited by 10
- ProbabilityTheory.covarianceBilinDual_applyproof · cited by 2
- ProbabilityTheory.variance_fun_id_gaussianRealproof · cited by 1
- ProbabilityTheory.variance_le_expectation_sqproof · cited by 1
- ProbabilityTheory.gaussianReal_sub_constproof · cited by 0
- ProbabilityTheory.hasSubgaussianMGF_of_mem_Iccproof · cited by 0
- ProbabilityTheory.evariance_eq_zero_iffproof · cited by 0
- ProbabilityTheory.tendstoInDistribution_inv_sqrt_mul_sum_subproof · cited by 0