Theorems · Theorem · complex analysis
meromorphicNFOn_inv
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {U : Set 𝕜} {f : 𝕜 → 𝕜}, MeromorphicNFOn f⁻¹ U ↔ MeromorphicNFOn f UA function to 𝕜 is meromorphic in normal form on U iff its inverse is.
- Defined in
- Mathlib.Analysis.Meromorphic.NormalForm
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NontriviallyNormedField
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.
- Setstatement and proof · cited by 53,352
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- MeromorphicNFOnstatement and proof · cited by 35
- meromorphicNFAt_invproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- MeromorphicNFOn.Gammaproof · cited by 1
- meromorphicNFOn_fun_invproof · cited by 0