Theorems · Theorem · complex analysis
MeromorphicAt.mul
∀ {𝕜 : Type u_1} {𝕜' : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : NontriviallyNormedField 𝕜']
[inst_2 : NormedAlgebra 𝕜 𝕜'] {x : 𝕜} {f g : 𝕜 → 𝕜'}, MeromorphicAt f x → MeromorphicAt g x → MeromorphicAt (f * g) x- Defined in
- Mathlib.Analysis.Meromorphic.Basic
- Cited by
- 7 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- NormedAlgebrastatement and proof · cited by 1,165
- MeromorphicAtstatement and proof · cited by 160
- MeromorphicAt.smulproof · cited by 13
Cited by7
Results whose statement or proof uses this declaration.
- MeromorphicAt.prodproof · cited by 7
- MeromorphicAt.powproof · cited by 5
- MeromorphicAt.divproof · cited by 4
- MeromorphicAt.fun_mulproof · cited by 3
- MeromorphicOn.mulproof · cited by 1
- Complex.ECanonicalDecomp.eq_smul_meromorphicTrailingCoeffAtproof · cited by 1
- Meromorphic.mulproof · cited by 1