% SZS status Theorem for tri__eq__0_
% SZS output start Proof for tri__eq__0_
  file('i/f/numpair/tri__eq__0_c0',ah4s_numpairs_triu_u_defu_c0)).
  file('i/f/numpair/tri__eq__0_c0',ch4s_numpairs_triu_u_equ_u_0u_c0)).
  file('i/f/numpair/tri__eq__0_c0',ah4s_arithmetics_numu_u_CASES)).
  file('i/f/numpair/tri__eq__0_c0',ah4s_numpairs_triu_u_defu_c1)).
  file('i/f/numpair/tri__eq__0_c0',ah4s_arithmetics_ADDu_u_EQu_u_0)).
% SZS output end Proof for tri__eq__0_
