% SZS status Theorem for BAG__ALL__DISTINCT__THM_
% SZS output start Proof for BAG__ALL__DISTINCT__THM_
  file('i/f/bag/BAG__ALL__DISTINCT__THM_c0',aHLu_TRUTH)).
  file('i/f/bag/BAG__ALL__DISTINCT__THM_c0',ah4s_bools_CONDu_u_EXPAND)).
  file('i/f/bag/BAG__ALL__DISTINCT__THM_c0',aHLu_BOOLu_CASES)).
  file('i/f/bag/BAG__ALL__DISTINCT__THM_c0',ch4s_bags_BAGu_u_ALLu_u_DISTINCTu_u_THMu_c0)).
  file('i/f/bag/BAG__ALL__DISTINCT__THM_c0',ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
  file('i/f/bag/BAG__ALL__DISTINCT__THM_c0',ah4s_bools_EQu_u_CLAUSESu_c1)).
  file('i/f/bag/BAG__ALL__DISTINCT__THM_c0',ah4s_bags_EMPTYu_u_BAG0)).
  file('i/f/bag/BAG__ALL__DISTINCT__THM_c0',ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
  file('i/f/bag/BAG__ALL__DISTINCT__THM_c0',ah4s_combins_Ku_u_THM)).
  file('i/f/bag/BAG__ALL__DISTINCT__THM_c0',ah4s_bags_BAGu_u_ALLu_u_DISTINCT0)).
  file('i/f/bag/BAG__ALL__DISTINCT__THM_c0',ah4s_numerals_numeralu_u_distribu_c1)).
  file('i/f/bag/BAG__ALL__DISTINCT__THM_c0',ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
  file('i/f/bag/BAG__ALL__DISTINCT__THM_c0',ah4s_arithmetics_NOTu_u_LEQ)).
% SZS output end Proof for BAG__ALL__DISTINCT__THM_
