Theorems · Theorem · probability
ProbabilityTheory.Kernel.comp_id
∀ {β : Type u_2} {γ : Type u_3} {mβ : MeasurableSpace β} {mγ : MeasurableSpace γ} (κ : ProbabilityTheory.Kernel β γ),
κ.comp ProbabilityTheory.Kernel.id = κ- Cited by
- 8 results in Mathlib
- Foundations
- Depth 216 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.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetproof · cited by 3,075
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.lintegralproof · cited by 1,152
- MeasureTheory.Measure.extproof · cited by 308
- ProbabilityTheory.Kernel.compstatement · cited by 129
- ProbabilityTheory.Kernel.extproof · cited by 116
- ProbabilityTheory.Kernel.idstatement and proof · cited by 72
- ProbabilityTheory.Kernel.measurable_coeproof · cited by 44
- ProbabilityTheory.Kernel.comp_apply'proof · cited by 28
Cited by8
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.partialTraj_succ_selfproof · cited by 6
- ProbabilityTheory.Kernel.partialTraj_succ_of_leproof · cited by 3
- ProbabilityTheory.Kernel.parallelComp_comp_parallelCompproof · cited by 2
- ProbabilityTheory.Kernel.parallelComp_commproof · cited by 1
- ProbabilityTheory.avgRisk_eq_lintegral_posterior_prodproof · cited by 1
- ProbabilityTheory.Kernel.id_parallelComp_comp_parallelComp_idproof · cited by 0
- ProbabilityTheory.deterministic_comp_posteriorproof · cited by 0
- ProbabilityTheory.condIndepFun_iff_condDistrib_prod_ae_eq_prodMkRightproof · cited by 0