Theorems · Theorem · complex analysis
AnalyticOnNhd.meromorphicOn
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_3} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {f : 𝕜 → E} {U : Set 𝕜}, AnalyticOnNhd 𝕜 f U → MeromorphicOn f U- Defined in
- Mathlib.Analysis.Meromorphic.Basic
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- AnalyticOnNhdstatement and proof · cited by 206
- MeromorphicOnstatement · cited by 141
- AnalyticAt.meromorphicAtproof · cited by 22
Cited by13
Results whose statement or proof uses this declaration.
- MeromorphicOn.circleIntegrable_log_normproof · cited by 11
- MeromorphicOn.circleAverage_log_normproof · cited by 3
- MeromorphicOn.AnalyticOnNhd.divisor_applyproof · cited by 2
- Polynomial.intervalIntegrable_mahlerMeasureproof · cited by 2
- MeromorphicOn.negPart_divisor_add_of_analyticNhdOn_rightproof · cited by 2
- circleAverage_log_norm_factorizedRationalproof · cited by 1
- AnalyticOnNhd.circleAverage_log_normproof · cited by 1
- intervalIntegrable_log_cosproof · cited by 1
- intervalIntegrable_log_sinproof · cited by 1
- MeromorphicOn.AnalyticOnNhd.divisor_nonnegproof · cited by 1
- circleIntegrable_log_norm_factorizedRationalproof · cited by 1
- Polynomial.mahlerMeasure_le_sqrt_sum_sq_norm_coeffproof · cited by 1