Theorems · Theorem · complex analysis
MeromorphicAt.add
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_3} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {x : 𝕜} {f g : 𝕜 → E}, MeromorphicAt f x → MeromorphicAt g x → MeromorphicAt (f + g) x- Defined in
- Mathlib.Analysis.Meromorphic.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- smul_addproof · cited by 263
- MeromorphicAtstatement and proof · cited by 160
- analyticAt_constproof · cited by 70
- analyticAt_idproof · cited by 39
- AnalyticAt.smulproof · cited by 18
- AnalyticAt.addproof · cited by 11
- AnalyticAt.powproof · cited by 9
- AnalyticAt.subproof · cited by 9
Cited by8
Results whose statement or proof uses this declaration.
- MeromorphicAt.subproof · cited by 10
- MeromorphicAt.sumproof · cited by 4
- MeromorphicOn.addproof · cited by 4
- meromorphicOrderAt_add_eq_left_of_ltproof · cited by 3
- MeromorphicAt.fun_addproof · cited by 3
- MeromorphicAt.meromorphicAt_add_iff_meromorphicAt₁proof · cited by 3
- Meromorphic.addproof · cited by 1
- MeromorphicAt.meromorphicAt_sub_iff_meromorphicAt₂proof · cited by 1