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Theorems · Theorem · complex analysis

meromorphicNFAt_fun_comp_add_const_iff_meromorphicNFAt

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {x c : 𝕜} {f : 𝕜 → E}, MeromorphicNFAt (fun x => f (x + c)) x ↔ MeromorphicNFAt f (x + c)

Eta-expanded form of meromorphicNFAt_comp_add_const_iff_meromorphicNFAt MeromorphicNFAt is invariant under translation.

Defined in
Mathlib.Analysis.Meromorphic.NormalForm
Cited by
0 results in Mathlib
Foundations
Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpace
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NormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldMeromorphicNFAt · cited by 34MeromorphicNFAtmeromorphicNFAt_comp_add_const_iff_meromorphicNFAt · cited by 2meromorphicNFAt_comp_add_…meromorphicNFAt_fun_comp_add_…CITED BYCITES

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