Theorems · Theorem · probability

Finset.expect_mul_expect

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

Defined in

Mathlib.Algebra.BigOperators.Expect

Cited by

1 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringModuleIsScalarTowerSMulCommClass