Theorems · Theorem · complex analysis
MeromorphicOn.divisor_of_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},
MeromorphicOn f U → MeromorphicOn.divisor (toMeromorphicNFOn f U) U = MeromorphicOn.divisor f UConversion of normal form does not affect divisors.
- Defined in
- Mathlib.Analysis.Meromorphic.NormalForm
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 208 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.
- 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
- meromorphicOrderAtproof · cited by 180
- MeromorphicOnstatement and proof · cited by 141
- Function.locallyFinsuppWithinstatement · cited by 127
- MeromorphicOn.divisorstatement and proof · cited by 90
- WithTop.untop₀proof · cited by 73
- MeromorphicOn.divisor_applyproof · cited by 28
- Function.locallyFinsuppWithin.apply_eq_zero_of_notMemproof · cited by 25
- Function.locallyFinsuppWithin.extproof · cited by 24
Cited by2
Results whose statement or proof uses this declaration.
- MeromorphicOn.extract_zeros_polesproof · cited by 4
- ValueDistribution.logCounting_isBigO_one_iff_analyticOnNhdproof · cited by 0