Theorems · Theorem · probability
Finset.expect_image
∀ {ι : Type u_1} {κ : Type u_2} {M : Type u_4} [inst : AddCommMonoid M] [inst_1 : Module ℚ≥0 M] {f : ι → M}
{t : Finset κ} [inst_2 : DecidableEq ι] {m : κ → ι},
Set.InjOn m ↑t → ((Finset.image m t).expect fun i => f i) = t.expect fun i => f (m i)- Defined in
- Mathlib.Algebra.BigOperators.Expect
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- Finsetstatement and proof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coestatement and proof · cited by 8,199
- Finset.sumproof · cited by 5,195
- Finset.cardproof · cited by 2,327
- Finset.sum_congrproof · cited by 2,323
- Finset.imagestatement and proof · cited by 910
- Set.InjOnstatement and proof · cited by 543
- NNRatstatement and proof · cited by 523
- Finset.expectstatement · cited by 116
- Finset.card_image_of_injOnproof · cited by 36
Cited by2
Results whose statement or proof uses this declaration.
- Finset.expect_neg_indexproof · cited by 0
- Finset.expect_inv_indexproof · cited by 0