Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.mul_const
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
{f : α → β} [inst_1 : Mul β] [ContinuousMul β],
MeasureTheory.AEStronglyMeasurable f μ → ∀ (c : β), MeasureTheory.AEStronglyMeasurable (fun x => f x * c) μ- Cited by
- 11 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- ContinuousMulstatement and proof · cited by 343
- MeasureTheory.aestronglyMeasurable_constproof · cited by 44
- MeasureTheory.AEStronglyMeasurable.mulproof · cited by 19
Cited by11
Results whose statement or proof uses this declaration.
- CircleIntegrable.outproof · cited by 5
- MeasureTheory.charFun_convproof · cited by 2
- circleIntegrable_iffproof · cited by 2
- MeasureTheory.charFun_map_smulproof · cited by 2
- MeasureTheory.Measure.ext_of_complexMGF_eqproof · cited by 1
- MeasureTheory.charFun_map_add_constproof · cited by 1
- MeasureTheory.charFunDual_convproof · cited by 1
- MeasureTheory.measureReal_abs_inner_gt_le_integral_charFunproof · cited by 1
- MeasureTheory.integral_charFun_Iccproof · cited by 1
- MeasureTheory.charFunDual_map_add_constproof · cited by 1
- ProbabilityTheory.charFun_map_cast_poissonMeasureproof · cited by 0