Theorems · Theorem · complex analysis
Meromorphic.congr_codiscrete
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_3} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {f g : 𝕜 → E}, Meromorphic f → f =ᶠ[Filter.codiscrete 𝕜] g → Meromorphic gIf f is meromorphic, if g agrees with f on a codiscrete set, then g is also meromorphic.
- Defined in
- Mathlib.Analysis.Meromorphic.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Set.ofPredproof · cited by 6,101
- Filter.EventuallyEqstatement and proof · cited by 1,912
- isOpen_univproof · cited by 112
- Meromorphicstatement and proof · cited by 108
- Filter.codiscretestatement and proof · cited by 34
- Filter.eventuallyEq_of_memproof · cited by 25
- meromorphicOn_univproof · cited by 8
- MeromorphicOn.congr_codiscreteWithinproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- meromorphic_congr_codiscreteproof · cited by 0