Theorems · Theorem · complex analysis
Complex.IsExpCmpFilter.tendsto_abs_re
∀ {l : Filter ℂ}, Complex.IsExpCmpFilter l → Filter.Tendsto (fun z => |z.re|) l Filter.atTop- Cited by
- 2 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 · cited by 3,814
- Filter.atTopstatement · cited by 2,405
- absstatement · cited by 1,814
- Complex.restatement · cited by 882
- Filter.Tendsto.compproof · cited by 560
- Complex.IsExpCmpFilterstatement and proof · cited by 19
- Filter.tendsto_abs_atTop_atTopproof · cited by 9
- Complex.IsExpCmpFilter.tendsto_reproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Complex.IsExpCmpFilter.isLittleO_log_norm_reproof · cited by 1
- Complex.IsExpCmpFilter.tendsto_normproof · cited by 0