Theorems · Theorem · measure theory
Measurable.smul_const
∀ {M : Type u_2} {X : Type u_3} {α : Type u_4} [inst : MeasurableSpace X] [inst_1 : SMul M X] {m : MeasurableSpace α}
{f : α → M} [inst_2 : MeasurableSpace M] [MeasurableSMul M X], Measurable f → ∀ (y : X), Measurable fun x => f x • y- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Measurablestatement and proof · cited by 1,499
- Measurable.compproof · cited by 234
- MeasurableSMulstatement and proof · cited by 5
- MeasurableSMul.measurable_smul_constproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- ProbabilityTheory.charFun_stdGaussianproof · cited by 2
- ProbabilityTheory.integral_id_stdGaussianproof · cited by 2
- MeasureTheory.isTightMeasureSet_of_tendsto_charFunproof · cited by 1
- MeasureTheory.volume_eq_of_finrank_eq_oneproof · cited by 1
- ProbabilityTheory.variance_dual_stdGaussianproof · cited by 1
- AEMeasurable.smul_constproof · cited by 0