Theorems · Theorem · approximation theory
Asymptotics.isLittleO_pow_pow_cobounded_of_lt
∀ {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
- 3 results in Mathlib
- Foundations
- Depth 160 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- LT.lt.leproof · cited by 2,189
- NormedRingstatement and proof · cited by 924
- one_powproof · cited by 521
- Asymptotics.IsLittleOstatement and proof · cited by 375
- pow_addproof · cited by 315
- Bornology.coboundedstatement and proof · cited by 162
- NormMulClassstatement and proof · cited by 66
- Asymptotics.isBigO_reflproof · cited by 51
- Asymptotics.IsBigO.mul_isLittleOproof · cited by 15
- Asymptotics.IsLittleO.powproof · cited by 3
- Asymptotics.isLittleO_const_id_coboundedproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.isEquivalent_cobounded_leading_monomialproof · cited by 2
- Asymptotics.isBigO_pow_pow_cobounded_of_leproof · cited by 1
- Polynomial.isLittleO_cobounded_of_degree_ltproof · cited by 1