Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Weinstein neighborhood theorem | Statement: [Darboux theorem, relatedTo, Weinstein neighborhood theorem]

Target entity: Weinstein neighborhood theorem
Context triple: [Darboux theorem, relatedTo, Weinstein neighborhood theorem]

• A. Thom transversality theorem
  The Thom transversality theorem is a fundamental result in differential topology that guarantees generic smooth maps are transverse to given submanifolds, underpinning the study of stable phenomena and cobordism.
• B. Sard's theorem
  Sard's theorem is a fundamental result in differential topology stating that the set of critical values of a smooth map between manifolds has measure zero, implying that almost all values are regular.
• C. Oka–Weil theorem
  The Oka–Weil theorem is a fundamental result in several complex variables that extends Runge’s approximation theorem by characterizing when holomorphic functions on certain compact sets in complex manifolds can be uniformly approximated by global holomorphic functions.
• D. Whitney approximation theorem
  The Whitney approximation theorem is a fundamental result in differential topology stating that any continuous function between smooth manifolds can be uniformly approximated by smooth functions.
• E. Nash embedding theorem
  The Nash embedding theorem is a fundamental result in differential geometry that shows any Riemannian manifold can be isometrically embedded into some Euclidean space, thereby realizing abstract curved spaces as concrete subsets of standard Euclidean space.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Weinstein neighborhood theorem
Target entity description: The Weinstein neighborhood theorem is a fundamental result in symplectic geometry that describes a neighborhood of a Lagrangian submanifold as being symplectomorphic to a neighborhood of the zero section in its cotangent bundle.

• A. Thom transversality theorem
  The Thom transversality theorem is a fundamental result in differential topology that guarantees generic smooth maps are transverse to given submanifolds, underpinning the study of stable phenomena and cobordism.
• B. Sard's theorem
  Sard's theorem is a fundamental result in differential topology stating that the set of critical values of a smooth map between manifolds has measure zero, implying that almost all values are regular.
• C. Oka–Weil theorem
  The Oka–Weil theorem is a fundamental result in several complex variables that extends Runge’s approximation theorem by characterizing when holomorphic functions on certain compact sets in complex manifolds can be uniformly approximated by global holomorphic functions.
• D. Whitney approximation theorem
  The Whitney approximation theorem is a fundamental result in differential topology stating that any continuous function between smooth manifolds can be uniformly approximated by smooth functions.
• E. Nash embedding theorem
  The Nash embedding theorem is a fundamental result in differential geometry that shows any Riemannian manifold can be isometrically embedded into some Euclidean space, thereby realizing abstract curved spaces as concrete subsets of standard Euclidean space.
• F. None of above. chosen