Theorems · Theorem · probability

Finset.expect_sum_comm

∀ {ι : Type u_1} {κ : Type u_2} {M : Type u_4} [inst : AddCommMonoid M] [inst_1 : Module ℚ≥0 M] (s : Finset ι)
  (t : Finset κ) (f : ι → κ → M), (s.expect fun i => ∑ j ∈ t, f i j) = ∑ j ∈ t, s.expect fun i => f i j

Defined in

Mathlib.Algebra.BigOperators.Expect

Cited by

2 results in Mathlib

Foundations

Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidModule