Theorems · Theorem · computer science
AkraBazziRecurrence.eventually_one_sub_smoothingFn_r_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 < 1 - AkraBazziRecurrence.smoothingFn ↑(r i n)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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.Eventuallystatement · cited by 3,134
- Filter.atTopstatement · cited by 2,405
- Filter.Tendsto.eventuallyproof · cited by 174
- AkraBazziRecurrencestatement and proof · cited by 55
- AkraBazziRecurrence.smoothingFnstatement · cited by 45
- Filter.eventually_allproof · cited by 16
- AkraBazziRecurrence.eventually_one_sub_smoothingFn_pos_realproof · cited by 2
- AkraBazziRecurrence.tendsto_atTop_r_realproof · cited by 1
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