Theorems · Theorem · approximation theory
Asymptotics.isBigO_pow_pow_cobounded_of_le
∀ {R : Type u_1} [inst : NormedRing R] [NormMulClass R] {p q : ℕ},
p ≤ q → (fun x => x ^ p) =O[Bornology.cobounded R] fun x => x ^ q- Cited by
- 1 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedRingNormMulClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedRingstatement and proof · cited by 924
- Asymptotics.IsBigOstatement · cited by 506
- LE.le.eq_or_ltproof · cited by 220
- Bornology.coboundedstatement and proof · cited by 162
- NormMulClassstatement and proof · cited by 66
- Asymptotics.isBigO_reflproof · cited by 51
- Asymptotics.IsLittleO.isBigOproof · cited by 35
- Asymptotics.isLittleO_pow_pow_cobounded_of_ltproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.isBigO_cobounded_of_degree_leproof · cited by 0