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: Darboux's law of intermediate values | Statement: [Johannes G. G. Darboux, notableWork, Darboux's law of intermediate values]

Target entity: Darboux's law of intermediate values
Context triple: [Johannes G. G. Darboux, notableWork, Darboux's law of intermediate values]

• A. Darboux theorem
  The Darboux theorem is a fundamental result in symplectic geometry stating that all symplectic manifolds are locally symplectomorphic to the standard symplectic space, implying that the symplectic form can always be put into a canonical local normal form.
• B. 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.
• C. Du Bois-Reymond theory of orders of infinity
  The Du Bois-Reymond theory of orders of infinity is a foundational framework in analysis that rigorously compares the growth rates of functions by classifying them into hierarchies of infinitesimal and infinite magnitudes.
• D. Stetigkeit und irrationale Zahlen
  "Stetigkeit und irrationale Zahlen" is Richard Dedekind’s seminal 1872 work in which he rigorously defines real numbers and continuity via Dedekind cuts, laying a foundation for modern analysis.
• E. Hilbert’s nineteenth problem
  Hilbert’s nineteenth problem is one of David Hilbert’s famous list of 23 problems, asking whether solutions to regular variational problems are always analytic.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Entity: Darboux's law of intermediate values
Triple: [Johannes G. G. Darboux, notableWork, Darboux's law of intermediate values]

Darboux's law of intermediate values is a fundamental theorem in real analysis stating that the image of a continuous function on an interval contains every value between any two of its function values.

Target entity: Darboux's law of intermediate values
Target entity description: Darboux's law of intermediate values is a fundamental theorem in real analysis stating that the image of a continuous function on an interval contains every value between any two of its function values.

• A. Darboux theorem
  The Darboux theorem is a fundamental result in symplectic geometry stating that all symplectic manifolds are locally symplectomorphic to the standard symplectic space, implying that the symplectic form can always be put into a canonical local normal form.
• B. 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.
• C. Du Bois-Reymond theory of orders of infinity
  The Du Bois-Reymond theory of orders of infinity is a foundational framework in analysis that rigorously compares the growth rates of functions by classifying them into hierarchies of infinitesimal and infinite magnitudes.
• D. Stetigkeit und irrationale Zahlen
  "Stetigkeit und irrationale Zahlen" is Richard Dedekind’s seminal 1872 work in which he rigorously defines real numbers and continuity via Dedekind cuts, laying a foundation for modern analysis.
• E. Hilbert’s nineteenth problem
  Hilbert’s nineteenth problem is one of David Hilbert’s famous list of 23 problems, asking whether solutions to regular variational problems are always analytic.
• F. None of above. chosen