Theorems · Theorem · complex analysis
meromorphicNFOn_toMeromorphicNFOn
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] (f : 𝕜 → E) (U : Set 𝕜), MeromorphicNFOn (toMeromorphicNFOn f U) UAfter conversion to normal form on U, the function has normal form.
- Defined in
- Mathlib.Analysis.Meromorphic.NormalForm
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- MeromorphicOnproof · cited by 141
- MeromorphicNFOnstatement and proof · cited by 35
- toMeromorphicNFOnstatement · cited by 13
- analyticOnNhd_constproof · cited by 11
- meromorphicNFAt_toMeromorphicNFAtproof · cited by 5
- AnalyticOnNhd.meromorphicNFOnproof · cited by 3
- meromorphicNFAt_congrproof · cited by 2
- toMeromorphicNFOn_eq_toMeromorphicNFAt_on_nhdsproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- MeromorphicOn.extract_zeros_polesproof · cited by 4
- MeromorphicOn.divisor_of_toMeromorphicNFOnproof · cited by 2
- MeromorphicOn.exists_canonicalDecompproof · cited by 1
- ValueDistribution.logCounting_isBigO_one_iff_analyticOnNhdproof · cited by 0
- toMeromorphicNFOn_eq_selfproof · cited by 0