% SZS status Theorem for POLY__ROOTS__FINITE__LEM
% SZS output start Proof for POLY__ROOTS__FINITE__LEM
  file('i/f/poly/POLY__ROOTS__FINITE__LEMMA',ch4s_polys_POLYu_u_ROOTSu_u_FINITEu_u_LEMMA)).
  file('i/f/poly/POLY__ROOTS__FINITE__LEMMA',aHLu_TRUTH)).
  file('i/f/poly/POLY__ROOTS__FINITE__LEMMA',ah4s_bools_NOTu_u_CLAUSESu_c2)).
  file('i/f/poly/POLY__ROOTS__FINITE__LEMMA',ah4s_arithmetics_LESSu_u_EQ)).
  file('i/f/poly/POLY__ROOTS__FINITE__LEMMA',ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
  file('i/f/poly/POLY__ROOTS__FINITE__LEMMA',ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
  file('i/f/poly/POLY__ROOTS__FINITE__LEMMA',ah4s_arithmetics_ADDu_u_SYM)).
  file('i/f/poly/POLY__ROOTS__FINITE__LEMMA',ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
  file('i/f/poly/POLY__ROOTS__FINITE__LEMMA',ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
  file('i/f/poly/POLY__ROOTS__FINITE__LEMMA',ah4s_polys_POLYu_u_ROOTSu_u_INDEXu_u_LENGTH)).
% SZS output end Proof for POLY__ROOTS__FINITE__LEM
