Theorems · Theorem · complex analysis
Complex.IsExpCmpFilter.abs_im_pow_eventuallyLE_exp_re
∀ {l : Filter ℂ}, Complex.IsExpCmpFilter l → ∀ (n : ℕ), (fun z => |z.im| ^ n) ≤ᶠ[l] fun z => Real.exp z.re- Cited by
- 1 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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.Eventuallyproof · cited by 3,134
- one_mulproof · cited by 2,841
- absstatement · cited by 1,814
- Complex.restatement and proof · cited by 882
- Real.expstatement and proof · cited by 871
- zero_lt_oneproof · cited by 598
- Complex.imstatement and proof · cited by 591
- Filter.EventuallyLEstatement · cited by 383
- norm_powproof · cited by 106
Cited by1
Results whose statement or proof uses this declaration.
- Complex.IsExpCmpFilter.isLittleO_log_norm_reproof · cited by 1