Theorems · Definition · complex analysis
MeromorphicOn
{𝕜 : Type u_1} →
[inst : NontriviallyNormedField 𝕜] →
{E : Type u_3} → [inst_1 : NormedAddCommGroup E] → [NormedSpace 𝕜 E] → (𝕜 → E) → Set 𝕜 → PropMeromorphy of a function on a set.
- Defined in
- Mathlib.Analysis.Meromorphic.Basic
- Cited by
- 141 results in Mathlib
- Foundations
- Depth 167 from the axioms, rests on 3,376 definitions · 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
- MeromorphicAtproof · cited by 160
Cited by147
Results whose statement or proof uses this declaration.
- MeromorphicOn.divisorproof · cited by 90
- MeromorphicOn.divisor_applystatement and proof · cited by 28
- Meromorphic.meromorphicOnstatement · cited by 15
- MeromorphicNFOn.meromorphicOnstatement · cited by 13
- AnalyticOnNhd.meromorphicOnstatement · cited by 13
- toMeromorphicNFOnproof · cited by 13
- MeromorphicOn.circleIntegrable_log_normstatement and proof · cited by 11
- meromorphicOn_univstatement and proof · cited by 8
- MeromorphicOn.analyticAt_mem_codiscreteWithinstatement and proof · cited by 7
- MeromorphicOn.circleIntegrable_posLog_normstatement and proof · cited by 7
- MeromorphicOn.exists_meromorphicOrderAt_ne_top_iff_forallstatement and proof · cited by 7
- meromorphicNFOn_toMeromorphicNFOnproof · cited by 5