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: Choquet–Bishop–de Leeuw theorem | Statement: [Krein–Milman theorem, relatedTo, Choquet–Bishop–de Leeuw theorem]

Target entity: Choquet–Bishop–de Leeuw theorem
Context triple: [Krein–Milman theorem, relatedTo, Choquet–Bishop–de Leeuw theorem]

• A. Banach–Stone theorem
  The Banach–Stone theorem is a fundamental result in functional analysis that characterizes compact Hausdorff spaces via isometric isomorphisms between their spaces of continuous real- or complex-valued functions.
• B. Dunford–Schwartz theorem
  The Dunford–Schwartz theorem is a fundamental result in functional analysis and ergodic theory that provides convergence properties for iterates of certain linear operators on L¹ and L^∞ spaces.
• C. Banach–Saks theorem
  The Banach–Saks theorem is a result in functional analysis stating that every bounded sequence in a reflexive Banach space has a subsequence whose Cesàro means converge in norm.
• D. Banach–Mazur compactum
  The Banach–Mazur compactum is a compact topological space whose points represent isometry classes of finite-dimensional normed spaces, serving as a fundamental object in the geometry of Banach spaces.
• E. Banach–Mazur theorem
  The Banach–Mazur theorem is a fundamental result in functional analysis that characterizes separable Banach spaces as isometrically isomorphic to closed subspaces of spaces of continuous functions on compact metric spaces.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Choquet–Bishop–de Leeuw theorem
Target entity description: The Choquet–Bishop–de Leeuw theorem is a fundamental result in functional analysis and convexity that represents points in compact convex sets as integrals over their extreme points, generalizing and refining the Krein–Milman theorem.

• A. Banach–Stone theorem
  The Banach–Stone theorem is a fundamental result in functional analysis that characterizes compact Hausdorff spaces via isometric isomorphisms between their spaces of continuous real- or complex-valued functions.
• B. Dunford–Schwartz theorem
  The Dunford–Schwartz theorem is a fundamental result in functional analysis and ergodic theory that provides convergence properties for iterates of certain linear operators on L¹ and L^∞ spaces.
• C. Banach–Saks theorem
  The Banach–Saks theorem is a result in functional analysis stating that every bounded sequence in a reflexive Banach space has a subsequence whose Cesàro means converge in norm.
• D. Banach–Mazur compactum
  The Banach–Mazur compactum is a compact topological space whose points represent isometry classes of finite-dimensional normed spaces, serving as a fundamental object in the geometry of Banach spaces.
• E. Banach–Mazur theorem
  The Banach–Mazur theorem is a fundamental result in functional analysis that characterizes separable Banach spaces as isometrically isomorphic to closed subspaces of spaces of continuous functions on compact metric spaces.
• F. None of above. chosen