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: Lebesgue integral on the real line | Statement: [Henstock–Kurzweil integral, subsumes, Lebesgue integral on the real line]

Target entity: Lebesgue integral on the real line
Context triple: [Henstock–Kurzweil integral, subsumes, Lebesgue integral on the real line]

• A. Lebesgue integration chosen
  Lebesgue integration is a foundational measure-theoretic framework for defining and analyzing integrals, particularly suited to handling limits, convergence, and more general functions than those allowed by Riemann integration.
• B. Lebesgue measure
  Lebesgue measure is the standard way of assigning a consistent notion of "length," "area," or "volume" to subsets of Euclidean space, forming the foundation of modern measure theory and integration.
• C. Lebesgue spaces
  Lebesgue spaces are function spaces, denoted \(L^p\), that consist of measurable functions whose absolute values raised to the \(p\)-th power are integrable, forming a fundamental framework in modern analysis and probability theory.
• D. Bochner integral
  The Bochner integral is a generalization of the Lebesgue integral to functions taking values in Banach spaces, widely used in functional analysis and probability theory.
• E. Henstock–Kurzweil integral
  The Henstock–Kurzweil integral is a highly general integration theory that extends and refines the Riemann integral, capable of integrating a broader class of functions while retaining many of the intuitive properties of Riemann integration.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: subsumes
Context triple: [Henstock–Kurzweil integral, subsumes, Lebesgue integral on the real line]

• A. includes chosen
  Indicates that one entity contains, encompasses, or has another entity as a part, member, or subset.
• B. underlies
  Indicates that one entity serves as a fundamental basis, support, or underlying cause for another entity, condition, or phenomenon.
• C. concludes
  Indicates that one entity brings something (such as an event, process, or discussion) to an end or reaches a final decision or judgment about it.
• D. summited
  Indicates that an entity has reached the highest point or peak of something, typically a mountain or similar elevation.
• E. subordinateTo
  Indicates that one entity holds a lower rank, status, or authority and is subject to the control, direction, or oversight of another entity.
• F. None of above.