input: 
  from typing import List, Union
  
  class Response:
      def __init__(self, record_data, sru):
          self.record_data = record_data
          self.sru = sru
  
      def getElementText(self, tagName, attributeName, attributeValue):
          pass  # implementation omitted for brevity
  
      @property
      def records(self):
          pass  # implementation omitted for brevity
  
  # Other methods and properties in the Response class are also omitted for brevity
  
  class SRU:
      DEBUG = False
  
      def search(self, query, collection=False, startrecord=1, maximumrecords=1, recordschema=False):
          pass  # implementation omitted for brevity
  
      def run_query(self):
          pass  # implementation omitted for brevity
  
  def process_search_results(sru_instance: SRU, query: str, collection: str = None, startrecord: int = 1, maximumrecords: int = 1, recordschema: str = None) -> Union[Response, bool]:
      """
      Searches for the given query using the provided SRU instance and returns a Response object containing the results.
      If no results are found, it returns False.
  
      >>> sru_inst = SRU()
      >>> response = process_search_results(sru_inst, "Python", "GGC", 1, 1, "dcx")
      >>> isinstance(response, Response)
      True
      >>> response = process_search_results(sru_inst, "UnknownKeyword", "GGC", 1, 1, "dcx")
      >>> response
      False
      """
      try:
          response = sru_instance.search(query, collection=collection, startrecord=startrecord, maximumrecords=maximumrecords, recordschema=recordschema)
          return response
      except Exception as e:
          print(f"Error: {e}")
          return False
  
output:     if response.records:
          return response
      else:
          return False