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: global univalence theorem | Statement: [Gale–Nikaidō–Debreu theorem, relatedTo, global univalence theorem]

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: global univalence theorem
Triple: [Gale–Nikaidō–Debreu theorem, relatedTo, global univalence theorem]

The global univalence theorem is a result in nonlinear analysis that gives conditions under which a differentiable mapping from Euclidean space to itself is globally one-to-one (injective).