Theorems · Theorem · approximation theory
Filter.EventuallyEq.isBigO
∀ {α : Type u_1} {E : Type u_3} [inst : Norm E] {l : Filter α} {f₁ f₂ : α → E}, f₁ =ᶠ[l] f₂ → f₁ =O[l] f₂- Defined in
- Mathlib.Analysis.Asymptotics.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Norm
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
- Filter.EventuallyEqstatement and proof · cited by 1,912
- Normstatement and proof · cited by 512
- Asymptotics.IsBigOstatement · cited by 506
- Asymptotics.isBigO_reflproof · cited by 51
- Filter.EventuallyEq.trans_isBigOproof · cited by 7
Cited by5
Results whose statement or proof uses this declaration.
- not_integrableOn_of_tendsto_norm_atTop_of_deriv_isBigO_filterproof · cited by 2
- not_integrableOn_Ici_invproof · cited by 2
- HurwitzKernelBounds.isBigO_atTop_F_int_oneproof · cited by 1
- HurwitzKernelBounds.isBigO_atTop_F_int_zero_subproof · cited by 1
- HurwitzZeta.isBigO_atTop_evenKernel_subproof · cited by 0