Theorems · Definition · complex analysis

Complex.IsExpCmpFilter.casesOn

{l : Filter ℂ} →
  {motive : Complex.IsExpCmpFilter l → Sort u} →
    (t : Complex.IsExpCmpFilter l) →
      ((tendsto_re : Filter.Tendsto Complex.re l Filter.atTop) →
          (isBigO_im_pow_re : ∀ (n : ℕ), (fun z => z.im ^ n) =O[l] fun z => Real.exp z.re) → motive ⋯) →
        motive t

Defined in: Mathlib.Analysis.SpecialFunctions.CompareExp
Cited by: 0 results in Mathlib
Foundations: Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound

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

Realstatement · cited by 25,697
Filterstatement and proof · cited by 8,121
Complexstatement and proof · cited by 5,565
Filter.Tendstostatement and proof · cited by 3,814
Filter.atTopstatement and proof · cited by 2,405
Complex.restatement and proof · cited by 882
Real.expstatement and proof · cited by 871
Complex.imstatement and proof · cited by 591
Asymptotics.IsBigOstatement and proof · cited by 506
Complex.IsExpCmpFilterstatement and proof · cited by 19

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