Theorems · Theorem · approximation theory
Asymptotics.IsLittleO.of_const_mul_right
∀ {α : Type u_1} {E : Type u_3} {R : Type u_13} [inst : Norm E] [inst_1 : SeminormedRing R] {f : α → E} {l : Filter α}
{g : α → R} {c : R}, (f =o[l] fun x => c * g x) → f =o[l] g- Defined in
- Mathlib.Analysis.Asymptotics.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormSeminormedRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- Normstatement and proof · cited by 512
- SeminormedRingstatement and proof · cited by 446
- Asymptotics.IsLittleOstatement and proof · cited by 375
- Asymptotics.IsLittleO.trans_isBigOproof · cited by 19
- Asymptotics.isBigO_const_mul_selfproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.tendsto_charFun_inv_sqrt_mul_powproof · cited by 1
- Asymptotics.isLittleO_const_mul_right_iffproof · cited by 1
- Asymptotics.isLittleO_const_mul_right_iff'proof · cited by 0