% SZS status Theorem for PERM__FUN__APPEND__APPEND_
% SZS output start Proof for PERM__FUN__APPEND__APPEND_
  file('i/f/sorting/PERM__FUN__APPEND__APPEND__2',ah4s_sortings_PERMu_u_EQUIVALENCEu_u_ALTu_u_DEF)).
  file('i/f/sorting/PERM__FUN__APPEND__APPEND__2',ah4s_sortings_PERMu_u_APPEND)).
  file('i/f/sorting/PERM__FUN__APPEND__APPEND__2',ah4s_lists_APPENDu_u_ASSOC)).
  file('i/f/sorting/PERM__FUN__APPEND__APPEND__2',ah4s_sortings_PERMu_u_APPENDu_u_IFFu_c1)).
  file('i/f/sorting/PERM__FUN__APPEND__APPEND__2',ch4s_sortings_PERMu_u_FUNu_u_APPENDu_u_APPENDu_u_2)).
% SZS output end Proof for PERM__FUN__APPEND__APPEND_
