% SZS status Theorem for REAL__POS__EQ__ZE
% SZS output start Proof for REAL__POS__EQ__ZE
  file('i/f/real/REAL__POS__EQ__ZERO',ch4s_reals_REALu_u_POSu_u_EQu_u_ZERO)).
  file('i/f/real/REAL__POS__EQ__ZERO',aHLu_TRUTH)).
  file('i/f/real/REAL__POS__EQ__ZERO',aHLu_FALSITY)).
  file('i/f/real/REAL__POS__EQ__ZERO',ah4s_bools_EQu_u_CLAUSESu_c1)).
  file('i/f/real/REAL__POS__EQ__ZERO',ah4s_reals_REALu_u_LEu_u_ANTISYM)).
  file('i/f/real/REAL__POS__EQ__ZERO',ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
  file('i/f/real/REAL__POS__EQ__ZERO',ah4s_bools_CONDu_u_CLAUSESu_c0)).
  file('i/f/real/REAL__POS__EQ__ZERO',ah4s_reals_REALu_u_LEu_u_TOTAL)).
  file('i/f/real/REAL__POS__EQ__ZERO',ah4s_reals_posu_u_def)).
  file('i/f/real/REAL__POS__EQ__ZERO',ah4s_bools_CONDu_u_CLAUSESu_c1)).
% SZS output end Proof for REAL__POS__EQ__ZE
