% SZS status Theorem for num__ring__thms_
% SZS output start Proof for num__ring__thms_
  file('i/f/numRing/num__ring__thms_c1',ch4s_numRings_numu_u_ringu_u_thmsu_c1)).
  file('i/f/numRing/num__ring__thms_c1',aHLu_BOOLu_CASES)).
  file('i/f/numRing/num__ring__thms_c1',aHLu_FALSITY)).
  file('i/f/numRing/num__ring__thms_c1',ah4s_numRings_numu_u_semiu_u_ring)).
  file('i/f/numRing/num__ring__thms_c1',ah4s_numRings_numu_u_interpu_u_csu_u_def)).
  file('i/f/numRing/num__ring__thms_c1',ah4s_numRings_numu_u_interpu_u_spu_u_def)).
  file('i/f/numRing/num__ring__thms_c1',ah4s_numRings_numu_u_spolynomu_u_simplifyu_u_def)).
  file('i/f/numRing/num__ring__thms_c1',ah4s_canonicals_spolynomialu_u_simplifyu_u_ok)).
  file('i/f/numRing/num__ring__thms_c1',aHLu_TRUTH)).
% SZS output end Proof for num__ring__thms_
