Theorems · Theorem · real analysis
Asymptotics.isTheta_inv
∀ {α : Type u_1} {𝕜 : Type u_14} {𝕜' : Type u_15} [inst : NormedField 𝕜] [inst_1 : NormedField 𝕜'] {l : Filter α}
{f : α → 𝕜} {g : α → 𝕜'}, ((fun x => (f x)⁻¹) =Θ[l] fun x => (g x)⁻¹) ↔ f =Θ[l] g- Defined in
- Mathlib.Analysis.Asymptotics.Theta
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedFieldNormedField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- NormedFieldstatement and proof · cited by 1,084
- inv_invproof · cited by 494
- Asymptotics.IsThetastatement and proof · cited by 115
- Asymptotics.IsTheta.invproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Asymptotics.IsTheta.rpowproof · cited by 0