Theorems · Theorem · complex analysis
Complex.IsExpCmpFilter.of_isBigO_im_re_rpow
∀ {l : Filter ℂ},
Filter.Tendsto Complex.re l Filter.atTop → ∀ (r : ℝ), (Complex.im =O[l] fun z => z.re ^ r) → Complex.IsExpCmpFilter l- Cited by
- 1 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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 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
- Filter.Eventually.monoproof · cited by 646
- Complex.imstatement and proof · cited by 591
- Asymptotics.IsBigOstatement and proof · cited by 506
- Real.rpow_natCastproof · cited by 93
- Real.rpow_mulproof · cited by 67
- Asymptotics.IsLittleO.isBigOproof · cited by 35
Cited by1
Results whose statement or proof uses this declaration.
- Complex.IsExpCmpFilter.of_isBigO_im_re_powproof · cited by 1