Theorems · Theorem · computer science
AkraBazziRecurrence.tendsto_zero_sumCoeffsExp
∀ {α : Type u_1} [inst : Fintype α] {T : ℕ → ℝ} {g : ℝ → ℝ} {a b : α → ℝ} {r : α → ℕ → ℕ} [inst_1 : Nonempty α]
(R : AkraBazziRecurrence T g a b r), Filter.Tendsto (fun p => ∑ i, a i * b i ^ p) Filter.atTop (nhds 0)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Fintypestatement and proof · cited by 7,736
- nhdsstatement and proof · cited by 5,554
- Finset.sumstatement and proof · cited by 5,195
- Filter.Tendstostatement and proof · cited by 3,814
- Finset.univstatement and proof · cited by 3,473
- Nat.cast_oneproof · cited by 2,501
- Filter.atTopstatement and proof · cited by 2,405
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.cast_zeroproof · cited by 1,870
- lt_of_not_geproof · cited by 374
- neg_neg_of_posproof · cited by 227
Cited by1
Results whose statement or proof uses this declaration.
- AkraBazziRecurrence.one_mem_range_sumCoeffsExpproof · cited by 1