Theorems · Theorem · complex analysis
meromorphicNFAt_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}, MeromorphicNFAt (toMeromorphicNFAt f x) xAfter conversion to normal form at x, the function has normal form.
- Defined in
- Mathlib.Analysis.Meromorphic.NormalForm
- Cited by
- 5 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.
Cites38
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
- Top.topproof · cited by 9,680
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- nhdsproof · cited by 5,554
- Filter.Eventuallyproof · cited by 3,134
- Compl.complproof · cited by 2,925
- nhdsWithinproof · cited by 1,912
- Filter.EventuallyEqproof · cited by 1,912
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- one_smulproof · cited by 1,374
Cited by5
Results whose statement or proof uses this declaration.
- meromorphicNFOn_toMeromorphicNFOnproof · cited by 5
- toMeromorphicNFAt_eq_selfproof · cited by 4
- toMeromorphicNFAt_eventuallyEq_nhds_congrproof · cited by 1
- MeromorphicAt.meromorphicOrderAt_eq_zero_iff_toMeromorphicNFAt_ne_zeroproof · cited by 0
- MeromorphicAt.meromorphicOrderAt_nonneg_iff_analyticAt_toMeromorphicNFAtproof · cited by 0