Theorems · Theorem · real analysis
Polynomial.isLittleO_cobounded_of_degree_lt
∀ {R : Type u_2} [inst : NormedRing R] [NormMulClass R] {P Q : Polynomial R},
P.degree < Q.degree → (fun x => Polynomial.eval x P) =o[Bornology.cobounded R] fun x => Polynomial.eval x Q- Defined in
- Mathlib.Analysis.Polynomial.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 162 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.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Polynomialstatement and proof · cited by 5,681
- Norm.normproof · cited by 5,413
- Filter.Tendstoproof · cited by 3,814
- Filter.atTopproof · cited by 2,405
- WithBotstatement · cited by 1,498
- NormedRingstatement and proof · cited by 924
- Polynomial.evalstatement and proof · cited by 796
- Polynomial.degreestatement and proof · cited by 643
- Polynomial.leadingCoeffproof · cited by 498
- Asymptotics.IsLittleOstatement and proof · cited by 375
- Bornology.coboundedstatement and proof · cited by 162
- NormMulClassstatement and proof · cited by 66
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.finite_abs_eval_le_of_degree_ltproof · cited by 1