Theorems · Theorem · measure theory
Measurable.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 (f * g)- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- MeasurableMul₂statement and proof · cited by 139
- Measurable.prodMkproof · cited by 115
- MeasurableMul₂.measurable_mulproof · cited by 8
Cited by29
Results whose statement or proof uses this declaration.
- Measurable.fun_mulproof · cited by 30
- Finset.measurable_prodproof · cited by 11
- MeasureTheory.quasiMeasurePreserving_invproof · cited by 7
- ProbabilityTheory.Kernel.iIndepFun.indepFun_mul_leftproof · cited by 3
- Finset.measurable_fun_prodproof · cited by 3
- ProbabilityTheory.avgRisk_countable'proof · cited by 3
- MeasureTheory.measure_add_lintegral_eqproof · cited by 3
- ProbabilityTheory.measurable_gammaPDFRealproof · cited by 3
- MeasureTheory.measure_mul_lintegral_eqproof · cited by 3
- integrable_rpow_mul_exp_neg_mul_sqproof · cited by 2
- ProbabilityTheory.Kernel.iIndepFun.indepFun_mul_left₀proof · cited by 2
- MeasureTheory.lintegral_withDensity_eq_lintegral_mul_non_measurableproof · cited by 2