input: 
  from typing import List
  
  def contains_video_file_format(file_types: List[str]) -> bool:
      """Check if any of the given file types is a video file extension.
      The function should only recognize common video file extensions (e.g., .mp4, .mov, .avi, .mkv, .flv, .wmv, .webm, .mpeg).
      >>> contains_video_file_format(['.txt', '.docx', '.jpg', '.png'])
      False
      >>> contains_video_file_format(['.mp4', '.jpg', '.pdf', '.docx'])
      True
      """
  
output:     video_extensions = {'.mp4', '.mov', '.avi', '.mkv', '.flv', '.wmv', '.webm', '.mpeg'}
      for file_type in file_types:
          if file_type.lower() in video_extensions:
              return True
      return False