Theorems · Theorem · probability
MeasureTheory.Measure.copy_comp_map
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {μ : MeasureTheory.Measure α}
{f : α → β},
AEMeasurable f μ →
(MeasureTheory.Measure.map f μ).bind ⇑(ProbabilityTheory.Kernel.copy β) =
MeasureTheory.Measure.map (Function.prod f f) μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 215 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- AEMeasurablestatement and proof · cited by 840
- MeasureTheory.Measure.bindstatement and proof · cited by 173
- aemeasurable_idproof · cited by 66
- AEMeasurable.prodMkproof · cited by 54
- Function.prodstatement and proof · cited by 38
- ProbabilityTheory.Kernel.copystatement · cited by 29
- AEMeasurable.map_map_of_aemeasurableproof · cited by 28
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