Theorems · Theorem · measure theory
MeasureTheory.Measure.map_snd_prod
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {μ : MeasureTheory.Measure α}
{ν : MeasureTheory.Measure β} [MeasureTheory.SFinite ν],
MeasureTheory.Measure.map Prod.snd (μ.prod ν) = μ Set.univ • ν- Defined in
- Mathlib.MeasureTheory.Measure.Prod
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 218 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Set.univstatement and proof · cited by 3,945
- MeasurableSetproof · cited by 3,075
- MeasureTheory.Measure.mapstatement · cited by 858
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasureTheory.Measure.prodstatement and proof · cited by 353
- MeasureTheory.Measure.extproof · cited by 308
- MeasureTheory.Measure.map_applyproof · cited by 139
Cited by11
Results whose statement or proof uses this declaration.
- MeasureTheory.measurePreserving_sndproof · cited by 4
- MeasureTheory.MemLp.comp_sndproof · cited by 4
- MeasureTheory.prod_withDensity₀proof · cited by 3
- ProbabilityTheory.indepFun_prodproof · cited by 3
- MeasureTheory.prod_withDensity_right₀proof · cited by 2
- MeasureTheory.partialTraj_const_restrict₂proof · cited by 1
- LinearMap.exists_map_addHaar_eq_smul_addHaar'proof · cited by 1
- ProbabilityTheory.Kernel.snd_prodproof · cited by 1
- MeasureTheory.FiniteMeasure.map_snd_prodproof · cited by 0
- MeasureTheory.ProbabilityMeasure.map_snd_prodproof · cited by 0
- ProbabilityTheory.condDistrib_snd_prodproof · cited by 0