Documentation

PFR.Mathlib.MeasureTheory.Group.Arithmetic

theorem Finset.measurable_prod'' {ι : Type u_1} {α : Type u_2} {β : Type u_3} {M : Type u_4} { : MeasurableSpace α} { : MeasurableSpace β} {mM : MeasurableSpace M} [CommMonoid M] [MeasurableMul₂ M] {f : ιαβM} {g : αβ} {s : Finset ι} (hf : is, Measurable (f i)) (hg : Measurable g) :
Measurable fun (a : α) => (∏ is, f i a) (g a)

Compositional version of Finset.measurable_prod for use by fun_prop.

theorem Finset.measurable_sum'' {ι : Type u_1} {α : Type u_2} {β : Type u_3} {M : Type u_4} { : MeasurableSpace α} { : MeasurableSpace β} {mM : MeasurableSpace M} [AddCommMonoid M] [MeasurableAdd₂ M] {f : ιαβM} {g : αβ} {s : Finset ι} (hf : is, Measurable (f i)) (hg : Measurable g) :
Measurable fun (a : α) => (∑ is, f i a) (g a)

Compositional version of Finset.measurable_sum for use by fun_prop.