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 MThe pushforward of a vector measure along a function.
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- AddCommMonoidstatement and proof · cited by 12,281
- Set.preimageproof · cited by 4,946
- MeasurableSetproof · cited by 3,075
- Measurableproof · cited by 1,499
- MeasureTheory.VectorMeasurestatement and proof · cited by 451
Cited by28
Results whose statement or proof uses this declaration.
- MeasureTheory.VectorMeasure.map_applystatement · cited by 10
- MeasureTheory.VectorMeasure.variation_map_lestatement and proof · cited by 4
- MeasurableEmbedding.integral_map_vectorMeasurestatement · cited by 3
- MeasurableEmbedding.variation_mapstatement and proof · cited by 3
- MeasureTheory.VectorMeasure.restrict_mapstatement and proof · cited by 2
- MeasureTheory.VectorMeasure.integral_mapstatement and proof · cited by 2
- MeasureTheory.VectorMeasure.transpose_mapstatement · cited by 2
- MeasurableEmbedding.setIntegral_map_vectorMeasurestatement · cited by 2
- MeasureTheory.VectorMeasure.mapₗproof · cited by 1
- MeasureTheory.VectorMeasure.mapGmproof · cited by 1
- MeasureTheory.VectorMeasure.HasProd.flipproof · cited by 1
- MeasureTheory.VectorMeasure.map_not_measurablestatement · cited by 1