Theorems · Theorem · complex analysis
Complex.isTheta_ofReal
∀ {α : Type u_1} (f : α → ℝ) (l : Filter α), (fun x => ↑(f x)) =Θ[l] f- Defined in
- Mathlib.Analysis.Complex.Asymptotics
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Filterstatement and proof · cited by 8,121
- Complexstatement · cited by 5,565
- Complex.ofRealstatement · cited by 1,654
- Asymptotics.IsThetastatement and proof · cited by 115
- Complex.norm_realproof · cited by 105
- Asymptotics.isTheta_rflproof · cited by 4
- Asymptotics.IsTheta.norm_leftproof · cited by 3
- Asymptotics.IsTheta.of_norm_leftproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- Complex.isTheta_ofReal_leftproof · cited by 0
- Complex.isBigO_ofReal_leftproof · cited by 0
- Complex.isBigO_ofReal_rightproof · cited by 0
- Complex.isTheta_ofReal_rightproof · cited by 0
- Complex.isLittleO_ofReal_leftproof · cited by 0
- Complex.isLittleO_ofReal_rightproof · cited by 0