Theorems · Theorem · computer science
AkraBazziRecurrence.eventually_log_b_mul_pos
∀ {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), ∀ᶠ (n : ℕ) in Filter.atTop, ∀ (i : α), 0 < Real.log (b i * ↑n)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Filter.Tendstoproof · cited by 3,814
- Filter.Eventuallystatement · cited by 3,134
- Filter.atTopstatement and proof · cited by 2,405
- Real.logstatement and proof · cited by 939
- Filter.Tendsto.compproof · cited by 560
- AkraBazziRecurrencestatement and proof · cited by 55
- tendsto_natCast_atTop_atTopproof · cited by 51
- Filter.Tendsto.const_mul_atTopproof · cited by 30
- Real.tendsto_log_atTopproof · cited by 26
- AkraBazziRecurrence.b_posproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- AkraBazziRecurrence.isEquivalent_smoothingFn_sub_selfproof · cited by 1