Theorems · Theorem · complex analysis
MeromorphicAt.meromorphicOrderAt_toMeromorphicNFAt
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {f : 𝕜 → E} {x : 𝕜},
MeromorphicAt f x → meromorphicOrderAt (toMeromorphicNFAt f x) x = meromorphicOrderAt f x- Defined in
- Mathlib.Analysis.Meromorphic.NormalForm
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- WithTopstatement · cited by 3,754
- meromorphicOrderAtstatement · cited by 180
- MeromorphicAtstatement and proof · cited by 160
- toMeromorphicNFAtstatement · cited by 15
- meromorphicOrderAt_congrproof · cited by 15
- MeromorphicAt.eq_nhdsNE_toMeromorphicNFAtproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- MeromorphicAt.meromorphicOrderAt_nonneg_iff_analyticAt_toMeromorphicNFAtproof · cited by 0
- MeromorphicAt.meromorphicOrderAt_eq_zero_iff_toMeromorphicNFAt_ne_zeroproof · cited by 0