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Theorems · Theorem · approximation theory

Asymptotics.IsBigOWith.sup

∀ {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 l' : Filter α},
  Asymptotics.IsBigOWith c l f g → Asymptotics.IsBigOWith c l' f g → Asymptotics.IsBigOWith c (l ⊔ l') f g
Defined in
Mathlib.Analysis.Asymptotics.Defs
Cited by
1 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormNorm
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Asymptotics.IsLittleO.sup · cited by 1IsLittleO.supReal · cited by 25697RealFilter · cited by 8121FilterNorm · cited by 512NormAsymptotics.IsBigOWith · cited by 187Asymptotics.IsBigOWithAsymptotics.IsBigOWith.bound · cited by 17IsBigOWith.boundAsymptotics.IsBigOWith.of_bound · cited by 16IsBigOWith.of_boundFilter.mem_sup · cited by 9Filter.mem_supIsBigOWith.supCITED BYCITES

Cites7

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Cited by1

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