Theorems · Theorem · measure theory
MeasurableMul.measurable_const_mul
∀ {M : Type u_2} {inst : MeasurableSpace M} {inst_1 : Mul M} [self : MeasurableMul M] (c : M), Measurable fun x => c * x- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- MeasurableMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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 · cited by 1,499
- MeasurableMulstatement and proof · cited by 71
Cited by12
Results whose statement or proof uses this declaration.
- Measurable.const_mulproof · cited by 19
- AEMeasurable.const_mulproof · cited by 10
- ProbabilityTheory.mgf_id_mapproof · cited by 5
- MeasureTheory.measurePreserving_mul_leftproof · cited by 4
- Real.smul_map_volume_mul_leftproof · cited by 2
- MeasureTheory.isMulLeftInvariant_mapproof · cited by 2
- ProbabilityTheory.mgf_congr_of_identDistribproof · cited by 1
- MeasureTheory.Integrable.comp_mul_leftproof · cited by 1
- MeasureTheory.forall_measure_preimage_mul_iffproof · cited by 1
- MeasureTheory.absolutelyContinuous_map_div_leftproof · cited by 0
- ProbabilityTheory.IdentDistrib.const_mulproof · cited by 0