docstr: Extract the variables from the variables container v using the key
  orig_key_chain and reinstantiate the duplicate variables that were
  removed by _remove_duplicate_variables in their correct locations using
  keychain_mappings.
  
  Parameters
  ----------
  v
      The variables container
  keychain_mappings
      The keychain mappings of duplicate vatriables
  orig_key_chain
      keychain of the variables to be extracted
  
  
  Returns
  -------
  ret_cont
      container with the extracted variables.
docstr_tok: ["Extract","the","variables","from","the","variables","container","v","using","the","key","orig_key_chain","and","reinstantiate","the","duplicate","variables","that","were","removed","by","_remove_duplicate_variables","in","their","correct","locations","using","keychain_mappings",".","Parameters","--","--","--","--","--","v","The","variables","container","keychain_mappings","The","keychain","mappings","of","duplicate","vatriables","orig_key_chain","keychain","of","the","variables","to","be","extracted","Returns","--","--","--","-","ret_cont","container","with","the","extracted","variables","."]
code: def _extract_v(v, keychain_mappings: dict, orig_key_chain, /):
      """Extract the variables from the variables container v using the key
      orig_key_chain and reinstantiate the duplicate variables that were
      removed by _remove_duplicate_variables in their correct locations using
      keychain_mappings.
  
      Parameters
      ----------
      v
          The variables container
      keychain_mappings
          The keychain mappings of duplicate vatriables
      orig_key_chain
          keychain of the variables to be extracted
  
  
      Returns
      -------
      ret_cont
          container with the extracted variables.
      """
      if v.cont_has_key_chain(orig_key_chain):
          ret_cont = v.cont_at_key_chain(orig_key_chain)
      else:
          ret_cont = Container()
      for old_kc, new_kc in keychain_mappings.items():
          if orig_key_chain in old_kc:
              # Check if `v` contains `new_kc` before replacing in `ret_cont`
              if v.cont_has_key_chain(new_kc):
                  ret_cont = ret_cont.cont_set_at_key_chain(
                      "/".join(old_kc.split("/")[1:]),
                      v.cont_at_key_chain(new_kc),
                  )
              else:
                  continue
      return ret_cont
  
file_path: ivy/ivy/stateful/helpers.py
imports: import functools
  import logging
  import ivy
  from ivy.data_classes.container import Container
  from ivy.func_wrapper import _get_first_array
label_desc: Use image node_id 4 for calling the ModuleHelpers obj's underlying member method code with example usage: obj._extract_v() and returns: ret_cont