Theorems · Theorem · complex analysis
Function.FactorizedRational.meromorphicNFOn_univ
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] (d : 𝕜 → ℤ),
MeromorphicNFOn (∏ᶠ (u : 𝕜), (fun x => x - u) ^ d u) Set.univFactorized rational functions are meromorphic in normal form on univ.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 201 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.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- nhdsproof · cited by 5,554
- Set.univstatement and proof · cited by 3,945
- Set.Finiteproof · cited by 1,814
- Function.supportproof · cited by 610
- Function.updateproof · cited by 502
- finprodstatement and proof · cited by 257
- Function.update_selfproof · cited by 201
- MeromorphicNFOnstatement and proof · cited by 35
- MeromorphicNFAtproof · cited by 34
- finprod_of_infinite_mulSupportproof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- Function.FactorizedRational.meromorphicNFOnproof · cited by 4
- MeromorphicOn.extract_zeros_polesproof · cited by 4
- Function.FactorizedRational.meromorphicOrderAt_eqproof · cited by 3