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: Steinhaus property of Lebesgue measure | Statement: [Steinhaus theorem, alsoKnownAs, Steinhaus property of Lebesgue measure]

Target entity: Steinhaus property of Lebesgue measure
Context triple: [Steinhaus theorem, alsoKnownAs, Steinhaus property of Lebesgue measure]

• A. Steinhaus theorem chosen
  The Steinhaus theorem is a fundamental result in measure theory stating that the difference set of any subset of the real numbers with positive Lebesgue measure contains an open interval around zero.
• 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. Carathéodory measurability criterion
  The Carathéodory measurability criterion is a fundamental condition in measure theory that characterizes measurable sets via an outer measure by requiring additivity over intersections and complements.
• D. Hausdorff measure
  Hausdorff measure is a fundamental concept in geometric measure theory that generalizes the notion of length, area, and volume to sets with arbitrary fractal or irregular structure in metric spaces.
• E. Denjoy–Young–Saks theorem
  The Denjoy–Young–Saks theorem is a result in real analysis that classifies the possible behaviors of the derivative of a real function at almost every point on the real line.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.