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Theorems · Theorem · computer science

AkraBazziRecurrence.GrowsPolynomially.pow

∀ {f : ℝ → ℝ} (p : ℕ),
  AkraBazziRecurrence.GrowsPolynomially f →
    (∀ᶠ (x : ℝ) in Filter.atTop, 0 ≤ f x) → AkraBazziRecurrence.GrowsPolynomially fun x => f x ^ p
Defined in
Mathlib.Computability.AkraBazzi.GrowsPolynomially
Cited by
3 results in Mathlib
Foundations
Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_add_smoothingFn · cited by 1AkraBazziRecurrence.grows…AkraBazziRecurrence.growsPolynomially_deriv_rpow_p_mul_one_sub_smoothingFn · cited by 1AkraBazziRecurrence.grows…AkraBazziRecurrence.growsPolynomially_pow · cited by 0AkraBazziRecurrence.grows…Real · cited by 25697RealFilter.Eventually · cited by 3134Filter.EventuallyFilter.atTop · cited by 2405Filter.atTopAkraBazziRecurrence.GrowsPolynomially · cited by 41AkraBazziRecurrence.Grows…AkraBazziRecurrence.GrowsPolynomially.rpow · cited by 3GrowsPolynomially.rpowGrowsPolynomially.powCITED BYCITES

Cites5

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Cited by3

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