% SZS status Theorem for REAL__MUL__IDEMP
% SZS output start Proof for REAL__MUL__IDEMP
  file('i/f/util_prob/REAL__MUL__IDEMPOT',ah4s_reals_REALu_u_MULu_u_LZERO)).
  file('i/f/util_prob/REAL__MUL__IDEMPOT',ch4s_utilu_u_probs_REALu_u_MULu_u_IDEMPOT)).
  file('i/f/util_prob/REAL__MUL__IDEMPOT',ah4s_reals_REALu_u_MULu_u_LID)).
  file('i/f/util_prob/REAL__MUL__IDEMPOT',ah4s_reals_REALu_u_EQu_u_RMUL)).
% SZS output end Proof for REAL__MUL__IDEMP
