Theorems · Theorem · probability

Finset.expect_equiv

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

Finset.expect_equiv is a specialization of Finset.expect_bij that automatically fills in most arguments.

Defined in

Mathlib.Algebra.BigOperators.Expect

Cited by

0 results in Mathlib

Foundations

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

Assumes

AddCommMonoidModule