Theorems · Theorem · probability

ProbabilityTheory.Kernel.sum_apply

∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} [inst : Countable ι]
  (κ : ι → ProbabilityTheory.Kernel α β) (a : α),
  (ProbabilityTheory.Kernel.sum κ) a = MeasureTheory.Measure.sum fun n => (κ n) a

Defined in

Mathlib.Probability.Kernel.Defs

Cited by

4 results in Mathlib

Foundations

Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Countable