Theorems · Theorem · probability
Finset.expect_indicator_one
∀ {ι : Type u_1} {K : Type u_3} [inst : Semifield K] [inst_1 : CharZero K] [inst_2 : Fintype ι] (s : Finset ι),
(Finset.univ.expect fun i => (↑s).indicator 1 i) = ↑s.dens- Defined in
- Mathlib.Algebra.BigOperators.Expect
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- mul_oneproof · cited by 3,885
- Finset.univstatement and proof · cited by 3,473
- Finset.cardproof · cited by 2,327
- Finset.sum_congrproof · cited by 2,323
- Fintype.cardproof · cited by 1,386
- CharZerostatement and proof · cited by 932
- Set.indicatorstatement and proof · cited by 723
- NNRatstatement · cited by 523
- Semifieldstatement and proof · cited by 439
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