Theorems · Theorem · measure theory
Measurable.fun_mul
∀ {M : Type u_2} {α : Type u_3} [inst : MeasurableSpace M] [inst_1 : Mul M] {m : MeasurableSpace α} {f g : α → M}
[MeasurableMul₂ M], Measurable f → Measurable g → Measurable fun i => f i * g iEta-expanded form of Measurable.mul
- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 30 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement · cited by 13,106
- Measurablestatement · cited by 1,499
- MeasurableMul₂statement · cited by 139
- Measurable.mulproof · cited by 29
Cited by30
Results whose statement or proof uses this declaration.
- MeasureTheory.lintegral_withDensity_eq_lintegral_mulproof · cited by 5
- indepFun_pi_of_prod_bcfproof · cited by 3
- ProbabilityTheory.Kernel.measurable_singularPart_funproof · cited by 3
- ProbabilityTheory.measurable_uncurry_gaussianPDFRealproof · cited by 3
- MeasureTheory.Measure.mconv_diracproof · cited by 2
- MeasureTheory.lintegral_withDensity_eq_lintegral_mul_non_measurableproof · cited by 2
- ProbabilityTheory.condIndepSets_iffproof · cited by 2
- pi_indepFun_of_prod_bcfproof · cited by 2
- pi_indepFun_pi_of_prod_bcfproof · cited by 2
- ProbabilityTheory.Kernel.withDensity_mulproof · cited by 1
- ProbabilityTheory.measurable_betaPDFRealproof · cited by 1