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: distortion theorem | Statement: [Koebe quarter theorem, relatedTo, distortion theorem]

Target entity: distortion theorem
Context triple: [Koebe quarter theorem, relatedTo, distortion theorem]

• A. Bernstein theorem
  Bernstein theorem is a fundamental result in set theory stating that if each of two sets can be injected into the other, then there exists a bijection between them, so the sets have the same cardinality.
• B. Picard theorem
  Picard theorem is a fundamental result in complex analysis stating that entire non-constant functions take on all possible complex values, with at most one exception.
• C. Rouché's theorem
  Rouché's theorem is a result in complex analysis that provides conditions under which two holomorphic functions have the same number of zeros inside a given contour.
• D. Hadamard three-circle theorem
  The Hadamard three-circle theorem is a result in complex analysis that describes how the maximum modulus of a holomorphic function behaves logarithmically between three concentric circles in the complex plane.
• E. GAGA theorems
  The GAGA theorems are foundational results in algebraic geometry that rigorously relate complex algebraic varieties to their associated analytic spaces, showing an equivalence between algebraic and analytic categories under suitable conditions.
• 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: distortion theorem
Triple: [Koebe quarter theorem, relatedTo, distortion theorem]

The distortion theorem is a result in complex analysis that provides sharp bounds on how much a univalent (injective holomorphic) function can stretch or compress distances in the unit disk.

Target entity: distortion theorem
Target entity description: The distortion theorem is a result in complex analysis that provides sharp bounds on how much a univalent (injective holomorphic) function can stretch or compress distances in the unit disk.

• A. Bernstein theorem
  Bernstein theorem is a fundamental result in set theory stating that if each of two sets can be injected into the other, then there exists a bijection between them, so the sets have the same cardinality.
• B. Picard theorem
  Picard theorem is a fundamental result in complex analysis stating that entire non-constant functions take on all possible complex values, with at most one exception.
• C. Rouché's theorem
  Rouché's theorem is a result in complex analysis that provides conditions under which two holomorphic functions have the same number of zeros inside a given contour.
• D. Hadamard three-circle theorem
  The Hadamard three-circle theorem is a result in complex analysis that describes how the maximum modulus of a holomorphic function behaves logarithmically between three concentric circles in the complex plane.
• E. GAGA theorems
  The GAGA theorems are foundational results in algebraic geometry that rigorously relate complex algebraic varieties to their associated analytic spaces, showing an equivalence between algebraic and analytic categories under suitable conditions.
• F. None of above. chosen