Theorems · Theorem · probability

map_expect

∀ {ι : Type u_1} {M : Type u_4} {N : Type u_5} [inst : AddCommMonoid M] [inst_1 : Module ℚ≥0 M]
  [inst_2 : AddCommMonoid N] [inst_3 : Module ℚ≥0 N] {F : Type u_6} [inst_4 : FunLike F M N] [LinearMapClass F ℚ≥0 M N]
  (g : F) (f : ι → M) (s : Finset ι), g (s.expect fun i => f i) = s.expect fun i => g (f i)

Defined in

Mathlib.Algebra.BigOperators.Expect

Cited by

7 results in Mathlib

Foundations

Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidModuleAddCommMonoidModuleFunLikeLinearMapClass