Theorems · Theorem · complex analysis
MeromorphicOn.eventually_codiscreteWithin_analyticAt
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_3} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {U : Set 𝕜} [CompleteSpace E] (f : 𝕜 → E),
MeromorphicOn f U → ∀ᶠ (y : 𝕜) in Filter.codiscreteWithin U, AnalyticAt 𝕜 f y- Defined in
- Mathlib.Analysis.Meromorphic.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 193 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
- Set.ofPredproof · cited by 6,101
- Filter.Eventuallystatement · cited by 3,134
- CompleteSpacestatement and proof · cited by 2,532
- AnalyticAtstatement and proof · cited by 321
- Filter.mem_of_supersetproof · cited by 308
- MeromorphicOnstatement and proof · cited by 141
- Filter.codiscreteWithinstatement · cited by 87
- Filter.eventually_iffproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- MeromorphicOn.countable_compl_analyticAt_interproof · cited by 1