% SZS status Theorem for REAL__SUM__IMAGE_
% SZS output start Proof for REAL__SUM__IMAGE_
  file('i/f/real_sigma/REAL__SUM__IMAGE__0',aHLu_FALSITY)).
  file('i/f/real_sigma/REAL__SUM__IMAGE__0',aHLu_BOOLu_CASES)).
  file('i/f/real_sigma/REAL__SUM__IMAGE__0',ch4s_realu_u_sigmas_REALu_u_SUMu_u_IMAGEu_u_0)).
  file('i/f/real_sigma/REAL__SUM__IMAGE__0',ah4s_arithmetics_MULTu_u_0)).
  file('i/f/real_sigma/REAL__SUM__IMAGE__0',ah4s_reals_multu_u_intsu_c0)).
  file('i/f/real_sigma/REAL__SUM__IMAGE__0',ah4s_bools_IMPu_u_CONG)).
  file('i/f/real_sigma/REAL__SUM__IMAGE__0',ah4s_realu_u_sigmas_REALu_u_SUMu_u_IMAGEu_u_FINITEu_u_CONST)).
% SZS output end Proof for REAL__SUM__IMAGE_
