Theorems · Theorem · probability

ProbabilityTheory.Kernel.comp_sum_left

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
  {mγ : MeasurableSpace γ} {ι : Type u_4} [inst : Countable ι] (κ : ProbabilityTheory.Kernel α β)
  (η : ι → ProbabilityTheory.Kernel β γ),
  (ProbabilityTheory.Kernel.sum η).comp κ = ProbabilityTheory.Kernel.sum fun i => (η i).comp κ

Defined in

Mathlib.Probability.Kernel.Composition.Comp

Cited by

2 results in Mathlib

Foundations

Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Countable