Theorems · Theorem · measure theory
Measurable.mul_const
∀ {M : Type u_2} {α : Type u_3} [inst : MeasurableSpace M] [inst_1 : Mul M] {m : MeasurableSpace α} {f : α → M}
[MeasurableMul M], Measurable f → ∀ (c : M), Measurable fun x => f x * c- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 13 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
- MeasurableMulstatement and proof · cited by 71
- MeasurableMul.measurable_mul_constproof · cited by 9
Cited by13
Results whose statement or proof uses this declaration.
- MeasureTheory.charFun_map_eq_charFunDual_smulproof · cited by 3
- MeasureTheory.stronglyMeasurable_charFunproof · cited by 2
- Complex.measurable_logproof · cited by 2
- hasSum_two_pi_I_cauchyPowerSeries_integralproof · cited by 2
- ProbabilityTheory.charFun_stdGaussianproof · cited by 2
- MeasureTheory.charFunDual_eq_charFun_map_oneproof · cited by 2
- Measurable.smul_measureproof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.setLIntegral_paramSet_expproof · cited by 1
- MeasureTheory.Measure.modularCharacterFun_map_mulproof · cited by 0
- MeasureTheory.Measure.dirac_mconv_diracproof · cited by 0
- MeasureTheory.Measure.IsMulRightInvariant.comapproof · cited by 0