Theorems · Theorem · complex analysis
toMeromorphicNFAt_eventuallyEq_nhds_congr
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {x : 𝕜} {f g : 𝕜 → E},
f =ᶠ[nhdsWithin x {x}ᶜ] g → toMeromorphicNFAt f x =ᶠ[nhds x] toMeromorphicNFAt g x- Defined in
- Mathlib.Analysis.Meromorphic.NormalForm
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · 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
- nhdsstatement and proof · cited by 5,554
- Compl.complstatement and proof · cited by 2,925
- nhdsWithinstatement and proof · cited by 1,912
- Filter.EventuallyEqstatement and proof · cited by 1,912
- Iff.notproof · cited by 489
- Filter.EventuallyEq.symmproof · cited by 408
- MeromorphicAtproof · cited by 160
- Filter.EventuallyEq.transproof · cited by 123
Cited by1
Results whose statement or proof uses this declaration.
- MeromorphicAt.toMeromorphicNFAt_eventuallyEq_nhds_iffproof · cited by 0