Theorems · Theorem · probability

Finset.mul_expect

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

Defined in

Mathlib.Algebra.BigOperators.Expect

Cited by

3 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringModuleSMulCommClass