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: univalence axiom | Statement: [Vladimir Voevodsky, notableIdea, univalence axiom]

Target entity: univalence axiom
Context triple: [Vladimir Voevodsky, notableIdea, univalence axiom]

• A. Grothendieck universe
  A Grothendieck universe is a set-theoretic construct large enough to contain all the usual objects and operations of mathematics, used to rigorously handle "large" categories while avoiding paradoxes.
• B. Yoneda lemma
  The Yoneda lemma is a fundamental result in category theory that characterizes objects by their sets of morphisms into them, providing a powerful bridge between abstract categories and concrete set-valued functors.
• C. Brouwer–Heyting–Kolmogorov interpretation
  The Brouwer–Heyting–Kolmogorov interpretation is a foundational explanation of intuitionistic logic that interprets logical connectives and proofs in terms of explicit constructions and algorithms rather than classical truth values.
• D. Curry–Howard correspondence
  The Curry–Howard correspondence is a foundational principle in logic and computer science that establishes a deep analogy between proofs and programs, and between logical propositions and types in programming languages.
• E. axiom of choice
  The axiom of choice is a fundamental principle in set theory asserting that one can select an element from each set in any collection of nonempty sets, with far-reaching consequences across mathematics.
• 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: univalence axiom
Triple: [Vladimir Voevodsky, notableIdea, univalence axiom]

The univalence axiom is a principle in homotopy type theory asserting that equivalent mathematical structures can be identified, providing a foundation for a new, homotopical approach to the foundations of mathematics.

Target entity: univalence axiom
Target entity description: The univalence axiom is a principle in homotopy type theory asserting that equivalent mathematical structures can be identified, providing a foundation for a new, homotopical approach to the foundations of mathematics.

• A. Grothendieck universe
  A Grothendieck universe is a set-theoretic construct large enough to contain all the usual objects and operations of mathematics, used to rigorously handle "large" categories while avoiding paradoxes.
• B. Yoneda lemma
  The Yoneda lemma is a fundamental result in category theory that characterizes objects by their sets of morphisms into them, providing a powerful bridge between abstract categories and concrete set-valued functors.
• C. Brouwer–Heyting–Kolmogorov interpretation
  The Brouwer–Heyting–Kolmogorov interpretation is a foundational explanation of intuitionistic logic that interprets logical connectives and proofs in terms of explicit constructions and algorithms rather than classical truth values.
• D. Curry–Howard correspondence
  The Curry–Howard correspondence is a foundational principle in logic and computer science that establishes a deep analogy between proofs and programs, and between logical propositions and types in programming languages.
• E. axiom of choice
  The axiom of choice is a fundamental principle in set theory asserting that one can select an element from each set in any collection of nonempty sets, with far-reaching consequences across mathematics.
• F. None of above. chosen