Theorems · Theorem · measure theory
AEMeasurable.const_mul
∀ {M : Type u_2} {α : Type u_3} [inst : MeasurableSpace M] [inst_1 : Mul M] {m : MeasurableSpace α} {f : α → M}
{μ : MeasureTheory.Measure α} [MeasurableMul M], AEMeasurable f μ → ∀ (c : M), AEMeasurable (fun x => c * f x) μ- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 10 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
- MeasurableMulstatement and proof · cited by 71
- MeasurableMul.measurable_const_mulproof · cited by 12
Cited by10
Results whose statement or proof uses this declaration.
- ProbabilityTheory.integrable_exp_mul_of_le_of_leproof · cited by 7
- ProbabilityTheory.iIndepFun.mgf_sum₀proof · cited by 3
- ProbabilityTheory.integrable_exp_mul_of_mem_Iccproof · cited by 2
- MeasureTheory.measureReal_abs_gt_le_integral_charFunproof · cited by 2
- ENNReal.lintegral_rpow_add_lt_top_of_lintegral_rpow_lt_topproof · cited by 1
- ProbabilityTheory.tendstoInDistribution_inv_sqrt_mul_sum_subproof · cited by 0
- ProbabilityTheory.aemeasurable_exp_mulproof · cited by 0
- ProbabilityTheory.gaussianReal_const_mulproof · cited by 0
- ProbabilityTheory.tendstoInDistribution_inv_sqrt_mul_sumproof · cited by 0
- ProbabilityTheory.integrable_exp_mul_of_leproof · cited by 0