Theorems · Definition · complex analysis
Meromorphic
{𝕜 : Type u_1} →
[inst : NontriviallyNormedField 𝕜] →
{E : Type u_3} → [inst_1 : NormedAddCommGroup E] → [NormedSpace 𝕜 E] → (𝕜 → E) → PropMeromorphy of a function on all of 𝕜.
- Defined in
- Mathlib.Analysis.Meromorphic.Basic
- Cited by
- 108 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.
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
- MeromorphicAtproof · cited by 160
Cited by108
Results whose statement or proof uses this declaration.
- Meromorphic.meromorphicOnstatement and proof · cited by 15
- meromorphicOn_univstatement and proof · cited by 8
- Complex.meromorphic_canonicalFactorstatement · cited by 5
- ValueDistribution.Cartan.integrableOn_cartanKernelstatement and proof · cited by 3
- Meromorphic.invstatement and proof · cited by 3
- ValueDistribution.characteristic_top_eq_circleAverage_add_circleAveragestatement and proof · cited by 3
- ValueDistribution.proximity_mul_top_lestatement and proof · cited by 2
- ValueDistribution.proximity_sum_top_lestatement and proof · cited by 2
- PeriodPair.meromorphic_weierstrassPstatement · cited by 2
- Meromorphic.meromorphic_comp_add_const_iff_meromorphicstatement and proof · cited by 2
- ValueDistribution.characteristic_sub_characteristic_invstatement and proof · cited by 2
- Meromorphic.Gammastatement · cited by 2