Theorems · Theorem · complex analysis
toMeromorphicNFOn_eq_self
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {f : 𝕜 → E} {U : Set 𝕜}, toMeromorphicNFOn f U = f ↔ MeromorphicNFOn f UIf f has normal form on U, then f equals toMeromorphicNFOn f U.
- Defined in
- Mathlib.Analysis.Meromorphic.NormalForm
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- MeromorphicNFOnstatement and proof · cited by 35
- toMeromorphicNFOnstatement and proof · cited by 13
- MeromorphicNFOn.meromorphicOnproof · cited by 13
- meromorphicNFOn_toMeromorphicNFOnproof · cited by 5
- toMeromorphicNFAt_eq_selfproof · cited by 4
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