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Theorems · Theorem · complex analysis

MeromorphicOn.inv

∀ {𝕜 : Type u_1} {𝕜' : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : NontriviallyNormedField 𝕜']
  [inst_2 : NormedAlgebra 𝕜 𝕜'] {s : 𝕜 → 𝕜'} {U : Set 𝕜}, MeromorphicOn s U → MeromorphicOn s⁻¹ U
Defined in
Mathlib.Analysis.Meromorphic.Basic
Cited by
3 results in Mathlib
Foundations
Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNontriviallyNormedFieldNormedAlgebra
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeromorphicOn.extract_zeros_poles · cited by 4MeromorphicOn.extract_zer…MeromorphicOn.inv_iff · cited by 0MeromorphicOn.inv_iffMeromorphicOn.fun_inv · cited by 0MeromorphicOn.fun_invSet · cited by 53352SetNontriviallyNormedField · cited by 8742NontriviallyNormedFieldNormedAlgebra · cited by 1165NormedAlgebraMeromorphicOn · cited by 141MeromorphicOnMeromorphicAt.inv · cited by 9MeromorphicAt.invMeromorphicOn.invCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.