% SZS status Theorem for countable__Upr
% SZS output start Proof for countable__Upr
  file('i/f/pred_set/countable__Uprod',ah4s_predu_u_sets_UNIVu_u_NOTu_u_EMPTY)).
  file('i/f/pred_set/countable__Uprod',ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
  file('i/f/pred_set/countable__Uprod',ah4s_bools_TRUTH)).
  file('i/f/pred_set/countable__Uprod',ah4s_predu_u_sets_CROSSu_u_UNIV)).
  file('i/f/pred_set/countable__Uprod',ah4s_predu_u_sets_crossu_u_countableu_u_IFF)).
  file('i/f/pred_set/countable__Uprod',aHLu_FALSITY)).
  file('i/f/pred_set/countable__Uprod',ch4s_predu_u_sets_countableu_u_Uprod)).
  file('i/f/pred_set/countable__Uprod',aHLu_BOOLu_CASES)).
% SZS output end Proof for countable__Upr
