% SZS status Theorem for num__ring__thms_c
% SZS output start Proof for num__ring__thms_c
  file('i/f/numRing/num__ring__thms_c32',ch4s_numRings_numu_u_ringu_u_thmsu_c32)).
  file('i/f/numRing/num__ring__thms_c32',ah4s_numRings_numu_u_canonicalu_u_sumu_u_scalar3u_u_def)).
  file('i/f/numRing/num__ring__thms_c32',ah4s_numRings_numu_u_canonicalu_u_sumu_u_mergeu_u_def)).
  file('i/f/numRing/num__ring__thms_c32',ah4s_numRings_numu_u_canonicalu_u_sumu_u_produ_u_def)).
  file('i/f/numRing/num__ring__thms_c32',ah4s_canonicals_canonicalu_u_sumu_u_produ_u_defu_c0)).
% SZS output end Proof for num__ring__thms_c
