Theorems · Definition · complex analysis
MeromorphicAt
{𝕜 : Type u_1} →
[inst : NontriviallyNormedField 𝕜] →
{E : Type u_3} → [inst_1 : NormedAddCommGroup E] → [NormedSpace 𝕜 E] → (𝕜 → E) → 𝕜 → PropMeromorphy of f at x (more precisely, on a punctured neighbourhood of x; the value at
x itself is irrelevant).
- Defined in
- Mathlib.Analysis.Meromorphic.Basic
- Cited by
- 160 results in Mathlib
- Foundations
- Depth 166 from the axioms, rests on 3,375 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- AnalyticAtproof · cited by 321
Cited by165
Results whose statement or proof uses this declaration.
- meromorphicOrderAtproof · cited by 180
- MeromorphicOnproof · cited by 141
- Meromorphicproof · cited by 108
- meromorphicTrailingCoeffAtproof · cited by 61
- MeromorphicAt.conststatement · cited by 36
- meromorphicOrderAt_eq_int_iffstatement and proof · cited by 31
- AnalyticAt.meromorphicAtstatement · cited by 22
- meromorphicOrderAt_eq_top_iffproof · cited by 20
- MeromorphicAt.idstatement · cited by 18
- MeromorphicAt.fun_substatement · cited by 17
- AnalyticAt.meromorphicNFAtproof · cited by 16
- meromorphicOrderAt_congrproof · cited by 15