Theorems · Theorem · probability

Finset.card_mul_expect

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

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

SemiringModule