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: open mapping theorem | Statement: [Hahn–Banach theorem, relatedTo, open mapping theorem]

Target entity: open mapping theorem
Context triple: [Hahn–Banach theorem, relatedTo, open mapping theorem]

• A. open mapping theorem chosen
  The open mapping theorem is a fundamental result in functional analysis stating that any surjective continuous linear operator between Banach spaces maps open sets to open sets.
• B. Banach inverse mapping theorem
  The Banach inverse mapping theorem is a fundamental result in functional analysis stating that a bijective bounded linear operator between Banach spaces has a bounded linear inverse.
• C. Riemann mapping theorem
  The Riemann mapping theorem is a fundamental result in complex analysis stating that any non-empty simply connected open subset of the complex plane (other than the whole plane) can be conformally mapped onto the open unit disk.
• D. Banach–Steinhaus theorem
  The Banach–Steinhaus theorem is a fundamental result in functional analysis that characterizes when a family of continuous linear operators is uniformly bounded, with major implications for the behavior of sequences of operators on Banach spaces.
• E. Montel theorem
  Montel's theorem is a fundamental result in complex analysis stating that a family of holomorphic functions that is uniformly bounded on every compact subset of a domain is a normal family, meaning every sequence in it has a subsequence that converges uniformly on compact sets.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.