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Theorems · Theorem · probability

ProbabilityTheory.Kernel.fst_comp

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {γ : Type u_4} {δ : Type u_5}
  {mγ : MeasurableSpace γ} {mδ : MeasurableSpace δ} (κ : ProbabilityTheory.Kernel α β)
  (η : ProbabilityTheory.Kernel β (γ × δ)), (η.comp κ).fst = η.fst.comp κ
Defined in
Mathlib.Probability.Kernel.Composition.CompMap
Cited by
1 results in Mathlib
Foundations
Depth 217 from the axioms · uses propext, Classical.choice, Quot.sound
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ProbabilityTheory.Kernel.fst_prod · cited by 2Kernel.fst_prodMeasurableSpace · cited by 13106MeasurableSpaceProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelProbabilityTheory.Kernel.comp · cited by 129Kernel.compProbabilityTheory.Kernel.map · cited by 84Kernel.mapProbabilityTheory.Kernel.fst · cited by 81Kernel.fstProbabilityTheory.Kernel.fst_eq · cited by 7Kernel.fst_eqProbabilityTheory.Kernel.map_comp · cited by 6Kernel.map_compKernel.fst_compCITED BYCITES

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