Theorems · Theorem · complex analysis
Complex.isBigO_ofReal_left
∀ {α : Type u_1} {E : Type u_2} [inst : Norm E] {l : Filter α} {f : α → ℝ} {g : α → E},
(fun x => ↑(f x)) =O[l] g ↔ f =O[l] g- Defined in
- Mathlib.Analysis.Complex.Asymptotics
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Norm
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Cites8
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
- Normstatement and proof · cited by 512
- Asymptotics.IsBigOstatement · cited by 506
- Complex.isTheta_ofRealproof · cited by 6
- Asymptotics.IsTheta.isBigO_congr_leftproof · cited by 4
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