Theorems · Theorem · approximation theory
Asymptotics.IsLittleO.mono
∀ {α : Type u_1} {E : Type u_3} {F : Type u_4} [inst : Norm E] [inst_1 : Norm F] {f : α → E} {g : α → F}
{l l' : Filter α}, f =o[l'] g → l ≤ l' → f =o[l] g- Defined in
- Mathlib.Analysis.Asymptotics.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Filterstatement and proof · cited by 8,121
- Normstatement and proof · cited by 512
- Asymptotics.IsLittleOstatement and proof · cited by 375
- Asymptotics.IsLittleO.of_isBigOWithproof · cited by 12
- Asymptotics.IsLittleO.forall_isBigOWithproof · cited by 10
- Asymptotics.IsBigOWith.monoproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- Asymptotics.isLittleO_supproof · cited by 1
- inv_riemannZeta_sub_sub_isLittleOproof · cited by 1
- log_deriv_riemannZeta_add_inv_sub_sub_isLittleOproof · cited by 1
- Asymptotics.IsBigO.hasFDerivWithinAtproof · cited by 1
- Asymptotics.IsEquivalent.monoproof · cited by 0
- log_riemannZeta_add_log_sub_isLittleO_ofRealproof · cited by 0