Theorems · Theorem · probability
Finset.expect_congr
∀ {ι : Type u_1} {M : Type u_4} [inst : AddCommMonoid M] [inst_1 : Module ℚ≥0 M] {s : Finset ι} {f g : ι → M}
{t : Finset ι}, s = t → (∀ i ∈ t, f i = g i) → (s.expect fun i => f i) = t.expect fun i => g i- Defined in
- Mathlib.Algebra.BigOperators.Expect
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- 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
- Finset.expectstatement and proof · cited by 116
Cited by19
Results whose statement or proof uses this declaration.
- AddChar.wInner_cWeight_eq_booleproof · cited by 2
- Complex.re_balanceproof · cited by 1
- Fintype.sum_balanceproof · cited by 1
- Finset.expect_mul_expectproof · cited by 1
- Fintype.map_balanceproof · cited by 1
- Complex.im_balanceproof · cited by 1
- AddChar.wInner_cWeight_selfproof · cited by 1
- Complex.ofReal_balanceproof · cited by 1
- Finset.expect_eq_zeroproof · cited by 1
- Finset.expectWith_congrproof · cited by 0
- AddDissociated.randomisationproof · cited by 0
- Fintype.expect_ite_memproof · cited by 0