% SZS status Theorem for rat__ring__thms_
% SZS output start Proof for rat__ring__thms_
  file('i/f/ratRing/rat__ring__thms_c1',ch4s_ratRings_ratu_u_ringu_u_thmsu_c1)).
  file('i/f/ratRing/rat__ring__thms_c1',aHLu_BOOLu_CASES)).
  file('i/f/ratRing/rat__ring__thms_c1',aHLu_FALSITY)).
  file('i/f/ratRing/rat__ring__thms_c1',ah4s_ratRings_RATu_u_ISu_u_RING)).
  file('i/f/ratRing/rat__ring__thms_c1',ah4s_ratRings_ratu_u_ru_u_interpu_u_csu_u_def)).
  file('i/f/ratRing/rat__ring__thms_c1',ah4s_ratRings_ratu_u_interpu_u_pu_u_def)).
  file('i/f/ratRing/rat__ring__thms_c1',ah4s_ratRings_ratu_u_polynomu_u_simplifyu_u_def)).
  file('i/f/ratRing/rat__ring__thms_c1',ah4s_ringNorms_polynomu_u_simplifyu_u_ok)).
  file('i/f/ratRing/rat__ring__thms_c1',aHLu_TRUTH)).
% SZS output end Proof for rat__ring__thms_
