Theorems · Theorem · measure theory

measurable_const_smul_iff

∀ {β : Type u_5} {α : Type u_6} [inst : MeasurableSpace β] [inst_1 : MeasurableSpace α] {f : α → β} {G : Type u_7}
  [inst_2 : Group G] [inst_3 : MulAction G β] [MeasurableConstSMul G β] (c : G),
  (Measurable fun x => c • f x) ↔ Measurable f

Defined in

Mathlib.MeasureTheory.Group.Arithmetic

Cited by

1 results in Mathlib

Foundations

Depth 12 from the axioms · uses propext, Quot.sound

Assumes

MeasurableSpaceMeasurableSpaceGroupMulActionMeasurableConstSMul