% SZS status Theorem for mem__thm_
% SZS output start Proof for mem__thm_
  file('i/f/path/mem__thm_c0',ah4s_paths_firstu_u_thmu_c0)).
  file('i/f/path/mem__thm_c0',ah4s_paths_elu_u_defu_c0)).
  file('i/f/path/mem__thm_c0',ah4s_paths_memu_u_def)).
  file('i/f/path/mem__thm_c0',ah4s_paths_PLu_u_thmu_c0)).
  file('i/f/path/mem__thm_c0',ah4s_predu_u_sets_INu_u_INSERT)).
  file('i/f/path/mem__thm_c0',ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
  file('i/f/path/mem__thm_c0',ch4s_paths_memu_u_thmu_c0)).
% SZS output end Proof for mem__thm_
