Theorems · Theorem · probability
MeasureTheory.Measure.compProd_id_eq_copy_comp
∀ {α : Type u_1} {mα : MeasurableSpace α} {μ : MeasureTheory.Measure α} [MeasureTheory.SFinite μ],
μ.compProd ProbabilityTheory.Kernel.id = μ.bind ⇑(ProbabilityTheory.Kernel.copy α)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 229 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasureTheory.SFinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.mapproof · cited by 858
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasureTheory.Measure.bindstatement and proof · cited by 173
- MeasureTheory.Measure.compProdstatement · cited by 132
- ProbabilityTheory.Kernel.idstatement · cited by 72
- Function.diagproof · cited by 34
- ProbabilityTheory.Kernel.copystatement and proof · cited by 29
- MeasureTheory.Measure.deterministic_comp_eq_mapproof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.deterministic_comp_posteriorproof · cited by 0
- ProbabilityTheory.posterior_idproof · cited by 0