Theorems · Theorem · probability
Finset.expect_inv_index
∀ {ι : Type u_1} {M : Type u_4} [inst : AddCommMonoid M] [inst_1 : Module ℚ≥0 M] [inst_2 : DecidableEq ι]
[inst_3 : InvolutiveInv ι] (s : Finset ι) (f : ι → M), (s⁻¹.expect fun i => f i) = s.expect fun i => f i⁻¹- Defined in
- Mathlib.Algebra.BigOperators.Expect
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- AddCommMonoidstatement and proof · cited by 12,281
- NNRatstatement and proof · cited by 523
- Function.Injective.injOnproof · cited by 280
- Finset.expectstatement · cited by 116
- InvolutiveInvstatement and proof · cited by 102
- Finset.invstatement · cited by 70
- inv_injectiveproof · cited by 17
- Finset.expect_imageproof · cited by 2
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