Mathlib Map

Theorems · Theorem · approximation theory

Asymptotics.isLittleO_pure

∀ {α : Type u_1} {E'' : Type u_9} {F'' : Type u_10} [inst : NormedAddCommGroup E''] [inst_1 : NormedAddCommGroup F'']
  {f'' : α → E''} {g'' : α → F''} {x : α}, f'' =o[pure x] g'' ↔ f'' x = 0
Defined in
Mathlib.Analysis.Asymptotics.Lemmas
Cited by
0 results in Mathlib
Foundations
Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedAddCommGroupNormedAddCommGroup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

NormedAddCommGroup · cited by 15752NormedAddCommGroupFilter · cited by 8121FilterAsymptotics.IsLittleO · cited by 375Asymptotics.IsLittleOAsymptotics.isLittleO_congr · cited by 3Asymptotics.isLittleO_con…Asymptotics.isLittleO_const_const_iff · cited by 2Asymptotics.isLittleO_con…Asymptotics.isLittleO_pureCITED BYCITES

Cites5

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.