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: Cartan theorem A | Statement: [Cartan theorems A and B, hasPart, Cartan theorem A]

Target entity: Cartan theorem A
Context triple: [Cartan theorems A and B, hasPart, Cartan theorem A]

• A. Cartan theorems A and B chosen
  Cartan theorems A and B are fundamental results in complex analytic geometry that characterize coherent analytic sheaves on Stein spaces by guaranteeing the existence of enough global sections and the vanishing of higher cohomology.
• B. Janet–Cartan theorem
  The Janet–Cartan theorem is a fundamental result in differential geometry stating that any real-analytic Riemannian manifold can be locally isometrically embedded into a Euclidean space of sufficiently high dimension.
• C. Cartan
  Cartan is a French surname most famously associated with mathematician Élie Cartan and his influential family of mathematicians.
• D. Cartan decomposition
  Cartan decomposition is a fundamental structural result in Lie theory that expresses a Lie algebra or Lie group as a direct sum or product of subspaces or subgroups with specific symmetry properties, widely used in differential geometry and representation theory.
• E. Cartan formula
  The Cartan formula is a fundamental identity in differential geometry that expresses the Lie derivative of a differential form in terms of the exterior derivative and interior product.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.