Theorems · Theorem · probability
Fintype.expect_eq_sum_div_card
∀ {ι : Type u_1} {K : Type u_3} [inst : Semifield K] [inst_1 : CharZero K] [inst_2 : Fintype ι] (f : ι → K),
(Finset.univ.expect fun i => f i) = (∑ i, f i) / ↑(Fintype.card ι)- Defined in
- Mathlib.Algebra.BigOperators.Expect
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Finset.sumstatement · cited by 5,195
- Finset.univstatement and proof · cited by 3,473
- Fintype.cardstatement · cited by 1,386
- CharZerostatement and proof · cited by 932
- NNRatstatement · cited by 523
- Semifieldstatement and proof · cited by 439
- Finset.expectstatement · cited by 116
- Finset.expect_eq_sum_div_cardproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddChar.expect_eq_iteproof · cited by 2