Theorems · Definition · measure theory

MeasureTheory.VectorMeasure.mapGm

{β : Type u_2} →
  [inst : MeasurableSpace β] →
    {M : Type u_3} →
      [inst_1 : AddCommMonoid M] →
        [inst_2 : TopologicalSpace M] →
          [inst_3 : ContinuousAdd M] →
            {α : Type u_4} →
              [inst_4 : MeasurableSpace α] →
                (α → β) → MeasureTheory.VectorMeasure α M →+ MeasureTheory.VectorMeasure β M

VectorMeasure.map as an additive monoid homomorphism.

Defined in

Mathlib.MeasureTheory.VectorMeasure.Basic

Cited by

1 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceAddCommMonoidTopologicalSpaceContinuousAddMeasurableSpace