% SZS status Theorem for WORD__LOWER__LOWER__EQ__TRA
% SZS output start Proof for WORD__LOWER__LOWER__EQ__TRA
  file('i/f/words/WORD__LOWER__LOWER__EQ__TRANS',aHLu_FALSITY)).
  file('i/f/words/WORD__LOWER__LOWER__EQ__TRANS',ch4s_wordss_WORDu_u_LOWERu_u_LOWERu_u_EQu_u_TRANS)).
  file('i/f/words/WORD__LOWER__LOWER__EQ__TRANS',ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
  file('i/f/words/WORD__LOWER__LOWER__EQ__TRANS',aHLu_TRUTH)).
  file('i/f/words/WORD__LOWER__LOWER__EQ__TRANS',ah4s_bools_EQu_u_CLAUSESu_c1)).
  file('i/f/words/WORD__LOWER__LOWER__EQ__TRANS',ah4s_wordss_WORDu_u_LO)).
  file('i/f/words/WORD__LOWER__LOWER__EQ__TRANS',ah4s_wordss_WORDu_u_LS)).
  file('i/f/words/WORD__LOWER__LOWER__EQ__TRANS',ah4s_arithmetics_LESSu_u_LESSu_u_EQu_u_TRANS)).
% SZS output end Proof for WORD__LOWER__LOWER__EQ__TRA
