Theorems · Theorem · complex analysis
toMeromorphicNFOn_eqOn_codiscrete
∀ {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 → f =ᶠ[Filter.codiscreteWithin U] toMeromorphicNFOn f UConversion to normal form on U changes the value only along a discrete subset
of U.
- Defined in
- Mathlib.Analysis.Meromorphic.NormalForm
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Filter.EventuallyEqstatement · cited by 1,912
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- AnalyticAtproof · cited by 321
- MeromorphicOnstatement and proof · cited by 141
- Filter.codiscreteWithinstatement and proof · cited by 87
- AnalyticAt.meromorphicNFAtproof · cited by 16
- toMeromorphicNFAtproof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- MeromorphicOn.exists_canonicalDecompproof · cited by 1