Mathlib Map

Theorems · Definition · approximation theory

Asymptotics.IsTheta

{α : Type u_1} → {E : Type u_3} → {F : Type u_4} → [Norm E] → [Norm F] → Filter α → (α → E) → (α → F) → Prop

We say that f is Θ(g) along a filter l (notation: f =Θ[l] g) if f =O[l] g and g =O[l] f.

Defined in
Mathlib.Analysis.Asymptotics.Defs
Cited by
115 results in Mathlib
Foundations
Depth 103 from the axioms, rests on 1,963 definitions · uses propext, Classical.choice, Quot.sound
Assumes
NormNorm

Around this declaration

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

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by115

Results whose statement or proof uses this declaration.