Theorems · Theorem · probability
Finset.expect_sub_distrib
∀ {ι : Type u_1} {M : Type u_4} [inst : AddCommGroup M] [inst_1 : Module ℚ≥0 M] (s : Finset ι) (f g : ι → M),
(s.expect fun i => f i - g i) = (s.expect fun i => f i) - s.expect fun i => g 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
- Assumes
- AddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- AddCommGroupstatement and proof · cited by 12,871
- Finset.sumproof · cited by 5,195
- Finset.cardproof · cited by 2,327
- Finset.sum_congrproof · cited by 2,323
- NNRatstatement and proof · cited by 523
- smul_subproof · cited by 142
- Finset.expectstatement · cited by 116
- Finset.sum_sub_distribproof · cited by 84
Cited by2
Results whose statement or proof uses this declaration.
- Fintype.balance_idemproof · cited by 0
- Fintype.balance_subproof · cited by 0