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Theorems · Definition · measure theory

MeasureTheory.VectorMeasure.map

{α : Type u_1} →
  {β : Type u_2} →
    {mα : MeasurableSpace α} →
      [inst : MeasurableSpace β] →
        {M : Type u_3} →
          [inst_1 : AddCommMonoid M] →
            [inst_2 : TopologicalSpace M] → MeasureTheory.VectorMeasure α M → (α → β) → MeasureTheory.VectorMeasure β M

The pushforward of a vector measure along a function.

Defined in
Mathlib.MeasureTheory.VectorMeasure.Basic
Cited by
26 results in Mathlib
Foundations
Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceAddCommMonoidTopologicalSpace

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.VectorMeasure.map_apply · cited by 10VectorMeasure.map_applyMeasureTheory.VectorMeasure.variation_map_le · cited by 4VectorMeasure.variation_m…MeasurableEmbedding.integral_map_vectorMeasure · cited by 3MeasurableEmbedding.integ…MeasurableEmbedding.variation_map · cited by 3MeasurableEmbedding.varia…MeasureTheory.VectorMeasure.restrict_map · cited by 2VectorMeasure.restrict_mapMeasureTheory.VectorMeasure.integral_map · cited by 2VectorMeasure.integral_mapMeasureTheory.VectorMeasure.transpose_map · cited by 2VectorMeasure.transpose_m…MeasurableEmbedding.setIntegral_map_vectorMeasure · cited by 2MeasurableEmbedding.setIn…MeasureTheory.VectorMeasure.mapₗ · cited by 1VectorMeasure.mapₗMeasureTheory.VectorMeasure.mapGm · cited by 1VectorMeasure.mapGmMeasureTheory.VectorMeasure.HasProd.flip · cited by 1HasProd.flipMeasureTheory.VectorMeasure.map_not_measurable · cited by 1VectorMeasure.map_not_mea…MeasurableEmbedding.integrable_map_vectorMeasure · cited by 1MeasurableEmbedding.integ…MeasureTheory.VectorMeasure.integral_map_equiv · cited by 0VectorMeasure.integral_ma…Topology.IsClosedEmbedding.integral_map_vectorMeasure · cited by 0IsClosedEmbedding.integra…DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceMeasurableSpace · cited by 13106MeasurableSpaceAddCommMonoid · cited by 12281AddCommMonoidSet.preimage · cited by 4946Set.preimageMeasurableSet · cited by 3075MeasurableSetMeasurable · cited by 1499MeasurableMeasureTheory.VectorMeasure · cited by 451MeasureTheory.VectorMeasu…VectorMeasure.mapCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by28

Results whose statement or proof uses this declaration.