code: def _valid_key_cacheable(tzpath, key):
      assert isinstance(
          tzpath, tuple
      )  # zoneinfo changed, better update this function!
      for root in tzpath:
          if Path(root).joinpath(key).exists():  # pragma: no branch
              # No branch because most systems only have one TZPATH component.
              return True
      else:  # pragma: no cover
          # This branch is only taken for names which are known to zoneinfo
          # but not present on the filesystem, i.e. on Windows with tzdata,
          # and so is never executed by our coverage tests.
          *package_loc, resource_name = key.split("/")
          package = "tzdata.zoneinfo." + ".".join(package_loc)
          try:
              try:
                  traversable = resources.files(package) / resource_name
                  return traversable.exists()
              except (AttributeError, ValueError):
                  # .files() was added in Python 3.9
                  return resources.is_resource(package, resource_name)
          except ModuleNotFoundError:
              return False
  
imports: import datetime
  from calendar import monthrange
  from functools import lru_cache
  from importlib import resources
  from pathlib import Path
  from typing import Optional
  from hypothesis.errors import InvalidArgument
  from hypothesis.internal.validation import check_type, check_valid_interval
  from hypothesis.strategies._internal.core import sampled_from
  from hypothesis.strategies._internal.misc import just, none
  from hypothesis.strategies._internal.strategies import SearchStrategy
  from hypothesis.strategies._internal.utils import defines_strategy
label_desc: Use image node_id 9 for calling a global function with example usage: _valid_key_cacheable(tzpath, key) and returns: True, traversable, False, resources