Theorems · Theorem · complex analysis
MeromorphicAt.const
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_3} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] (e : E) (x : 𝕜), MeromorphicAt (fun x => e) x- Defined in
- Mathlib.Analysis.Meromorphic.Basic
- Cited by
- 36 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- MeromorphicAtstatement · cited by 160
- analyticAt_constproof · cited by 70
- AnalyticAt.meromorphicAtproof · cited by 22
Cited by36
Results whose statement or proof uses this declaration.
- meromorphicOrderAt_eq_top_iffproof · cited by 20
- AnalyticAt.meromorphicTrailingCoeffAt_of_ne_zero_of_eq_nhdsNEproof · cited by 11
- MeromorphicAt.invproof · cited by 9
- MeromorphicAt.negproof · cited by 8
- meromorphicOrderAt_constproof · cited by 7
- MeromorphicAt.prodproof · cited by 7
- MeromorphicAt.derivproof · cited by 6
- MeromorphicAt.finprodproof · cited by 5
- Complex.meromorphic_canonicalFactorproof · cited by 5
- MeromorphicAt.powproof · cited by 5
- meromorphicOrderAt_zpowproof · cited by 4
- AnalyticAt.meromorphicTrailingCoeffAt_of_eq_nhdsNEproof · cited by 4