Theorems · Theorem · complex analysis
MeromorphicAt.neg
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_3} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {x : 𝕜} {f : 𝕜 → E}, MeromorphicAt f x → MeromorphicAt (-f) x- Defined in
- Mathlib.Analysis.Meromorphic.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 189 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- one_smulproof · cited by 1,374
- neg_smulproof · cited by 306
- MeromorphicAtstatement and proof · cited by 160
- MeromorphicAt.constproof · cited by 36
- MeromorphicAt.smulproof · cited by 13
Cited by8
Results whose statement or proof uses this declaration.
- MeromorphicAt.subproof · cited by 10
- meromorphicOrderAt_negproof · cited by 3
- MeromorphicOn.negproof · cited by 2
- Meromorphic.negproof · cited by 1
- MeromorphicAt.meromorphicTrailingCoeffAt_sub_eq_left_of_ltproof · cited by 1
- MeromorphicAt.meromorphicTrailingCoeffAt_sub_eq_subproof · cited by 1
- MeromorphicAt.neg_iffproof · cited by 0
- MeromorphicAt.fun_negproof · cited by 0