Theorems · Theorem · measure theory

IsUnit.measurable_const_smul_iff

∀ {M : Type u_4} {β : Type u_5} {α : Type u_6} [inst : MeasurableSpace β] [inst_1 : MeasurableSpace α] {f : α → β}
  [inst_2 : Monoid M] [inst_3 : MulAction M β] [MeasurableConstSMul M β] {c : M},
  IsUnit c → ((Measurable fun x => c • f x) ↔ Measurable f)

Defined in

Mathlib.MeasureTheory.Group.Arithmetic

Cited by

1 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Quot.sound

Assumes

MeasurableSpaceMeasurableSpaceMonoidMulActionMeasurableConstSMul