% SZS status Theorem for rat__ring__thms_c
% SZS output start Proof for rat__ring__thms_c
  file('i/f/ratRing/rat__ring__thms_c34',ch4s_ratRings_ratu_u_ringu_u_thmsu_c34)).
  file('i/f/ratRing/rat__ring__thms_c34',ah4s_ratRings_ratu_u_ru_u_canonicalu_u_sumu_u_scalar2u_u_def)).
  file('i/f/ratRing/rat__ring__thms_c34',ah4s_ratRings_ratu_u_ru_u_canonicalu_u_sumu_u_mergeu_u_def)).
  file('i/f/ratRing/rat__ring__thms_c34',ah4s_ratRings_ratu_u_ru_u_canonicalu_u_sumu_u_produ_u_def)).
  file('i/f/ratRing/rat__ring__thms_c34',ah4s_ringNorms_canonicalu_u_sumu_u_produ_u_defu_c1)).
% SZS output end Proof for rat__ring__thms_c
