Documentation

AddCombi.Mathlib.Algebra.Order.BigOperators.Expect

theorem Finset.expect_lt_expect {ι : Type u_1} {M : Type u_2} [AddCommMonoid M] [PartialOrder M] [IsOrderedCancelAddMonoid M] [Module ℚ≥0 M] [PosSMulStrictMono ℚ≥0 M] {s : Finset ι} {f g : ιM} (hfg : is, f i g i) (hfg' : is, f i < g i) :
(s.expect fun (i : ι) => f i) < s.expect fun (i : ι) => g i
theorem Finset.expect_pos' {ι : Type u_1} {M : Type u_2} [AddCommMonoid M] [PartialOrder M] [IsOrderedCancelAddMonoid M] [Module ℚ≥0 M] [PosSMulStrictMono ℚ≥0 M] {s : Finset ι} {f : ιM} (h : is, 0 f i) (hs : is, 0 < f i) :
0 < s.expect fun (i : ι) => f i