Theorems · Theorem · complex analysis
MeromorphicAt.pow
∀ {𝕜 : Type u_1} {𝕜' : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : NontriviallyNormedField 𝕜']
[inst_2 : NormedAlgebra 𝕜 𝕜'] {x : 𝕜} {f : 𝕜 → 𝕜'}, MeromorphicAt f x → ∀ (n : ℕ), MeromorphicAt (f ^ n) x- Defined in
- Mathlib.Analysis.Meromorphic.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 190 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.
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- NormedAlgebrastatement and proof · cited by 1,165
- pow_zeroproof · cited by 1,094
- pow_succproof · cited by 374
- MeromorphicAtstatement and proof · cited by 160
- MeromorphicAt.constproof · cited by 36
- MeromorphicAt.mulproof · cited by 7
Cited by5
Results whose statement or proof uses this declaration.
- MeromorphicAt.zpowproof · cited by 14
- meromorphicOrderAt_powproof · cited by 2
- MeromorphicOn.powproof · cited by 2
- Meromorphic.powproof · cited by 1
- MeromorphicAt.fun_powproof · cited by 1