Theorems · Definition · complex analysis
MeromorphicNFOn
{𝕜 : Type u_1} →
[inst : NontriviallyNormedField 𝕜] →
{E : Type u_2} → [inst_1 : NormedAddCommGroup E] → [NormedSpace 𝕜 E] → (𝕜 → E) → Set 𝕜 → PropA function is 'meromorphic in normal form' on U if has normal form at every
point of U.
- Defined in
- Mathlib.Analysis.Meromorphic.NormalForm
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- MeromorphicNFAtproof · cited by 34
Cited by37
Results whose statement or proof uses this declaration.
- MeromorphicNFOn.meromorphicOnstatement and proof · cited by 13
- meromorphicNFOn_toMeromorphicNFOnstatement and proof · cited by 5
- MeromorphicOn.extract_zeros_polesproof · cited by 4
- Function.FactorizedRational.meromorphicNFOnstatement · cited by 4
- meromorphicNFOn_comp_sub_const_iff_meromorphicNFOnstatement and proof · cited by 4
- AnalyticOnNhd.meromorphicNFOnstatement · cited by 3
- Function.FactorizedRational.meromorphicNFOn_univstatement and proof · cited by 3
- Complex.CanonicalDecomp.meromorphicNFOnstatement · cited by 2
- MeromorphicNFOn.divisor_nonneg_iff_analyticOnNhdstatement and proof · cited by 2
- meromorphicNFOn_invstatement and proof · cited by 2
- Complex.meromorphicNFOn_canonicalFactorstatement · cited by 1
- Complex.meromorphicNFOn_tanstatement · cited by 1