Theorems · Theorem · approximation theory
Asymptotics.IsBigOWith.isBigO
∀ {α : Type u_1} {E : Type u_3} {F : Type u_4} [inst : Norm E] [inst_1 : Norm F] {c : ℝ} {f : α → E} {g : α → F}
{l : Filter α}, Asymptotics.IsBigOWith c l f g → f =O[l] g- Defined in
- Mathlib.Analysis.Asymptotics.Defs
- Cited by
- 40 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Realstatement and proof · cited by 25,697
- Filterstatement and proof · cited by 8,121
- Normstatement and proof · cited by 512
- Asymptotics.IsBigOstatement · cited by 506
- Asymptotics.IsBigOWithstatement and proof · cited by 187
- Asymptotics.IsBigO_defproof · cited by 26
Cited by40
Results whose statement or proof uses this declaration.
- Asymptotics.IsBigO.transproof · cited by 56
- Asymptotics.isBigO_reflproof · cited by 51
- Asymptotics.IsLittleO.isBigOproof · cited by 35
- Asymptotics.IsBigO.mulproof · cited by 29
- Asymptotics.IsBigO.addproof · cited by 21
- Asymptotics.IsBigO.const_mul_leftproof · cited by 16
- Asymptotics.isBigO_of_leproof · cited by 12
- Asymptotics.isBigO_const_mul_selfproof · cited by 8
- Asymptotics.isBigO_const_constproof · cited by 7
- Asymptotics.isBigO_fst_prodproof · cited by 6
- Asymptotics.isBigO_of_le'proof · cited by 6
- Asymptotics.isBigO_snd_prodproof · cited by 6