Theorems · Theorem · measure theory
AEMeasurable.mul_const
∀ {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 => f x * c) μ- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 5 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_mul_constproof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.modularCharacterFun_eq_haarScalarFactorproof · cited by 3
- ENNReal.lintegral_mul_le_Lp_mul_Lq_of_ne_zero_of_ne_topproof · cited by 1
- ENNReal.lintegral_mul_le_one_of_lintegral_rpow_eq_oneproof · cited by 1
- ProbabilityTheory.gaussianReal_mul_constproof · cited by 0
- aemeasurable_of_re_improof · cited by 0