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Theorems · Theorem · probability

Fintype.expect_const

∀ {ι : Type u_1} {M : Type u_4} [inst : Fintype ι] [inst_1 : AddCommMonoid M] [inst_2 : Module ℚ≥0 M] [Nonempty ι]
  (a : M), (Finset.univ.expect fun _i => a) = a
Defined in
Mathlib.Algebra.BigOperators.Expect
Cited by
1 results in Mathlib
Foundations
Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeAddCommMonoidModuleNonempty
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Fintype.expect_one · cited by 0Fintype.expect_oneModule · cited by 20661ModuleAddCommMonoid · cited by 12281AddCommMonoidFintype · cited by 7736FintypeFinset.univ · cited by 3473Finset.univNNRat · cited by 523NNRatFinset.expect · cited by 116Finset.expectFinset.univ_nonempty · cited by 50Finset.univ_nonemptyFinset.expect_const · cited by 8Finset.expect_constFintype.expect_constCITED BYCITES

Cites8

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Cited by1

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