Theorems · Theorem · measure theory

MeasureTheory.VectorMeasure.map_smul

∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} [inst : MeasurableSpace β] {M : Type u_3}
  [inst_1 : AddCommMonoid M] [inst_2 : TopologicalSpace M] {R : Type u_4} [inst_3 : Semiring R]
  [inst_4 : DistribMulAction R M] [inst_5 : ContinuousConstSMul R M] {v : MeasureTheory.VectorMeasure α M} {f : α → β}
  (c : R), (c • v).map f = c • v.map f

Defined in

Mathlib.MeasureTheory.VectorMeasure.Basic

Cited by

0 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceAddCommMonoidTopologicalSpaceSemiringDistribMulActionContinuousConstSMul