% SZS status Theorem for FUPD11__SAME__KEY__AND__BA
% SZS output start Proof for FUPD11__SAME__KEY__AND__BA
  file('i/f/finite_map/FUPD11__SAME__KEY__AND__BASE',ch4s_finiteu_u_maps_FUPD11u_u_SAMEu_u_KEYu_u_ANDu_u_BASE)).
  file('i/f/finite_map/FUPD11__SAME__KEY__AND__BASE',ah4s_bools_TRUTH)).
  file('i/f/finite_map/FUPD11__SAME__KEY__AND__BASE',aHLu_FALSITY)).
  file('i/f/finite_map/FUPD11__SAME__KEY__AND__BASE',ah4s_bools_EQu_u_CLAUSESu_c1)).
  file('i/f/finite_map/FUPD11__SAME__KEY__AND__BASE',ah4s_finiteu_u_maps_FAPPLYu_u_FUPDATEu_u_THM)).
  file('i/f/finite_map/FUPD11__SAME__KEY__AND__BASE',ah4s_bools_boolu_u_caseu_u_thmu_c0)).
  file('i/f/finite_map/FUPD11__SAME__KEY__AND__BASE',aHLu_BOOLu_CASES)).
% SZS output end Proof for FUPD11__SAME__KEY__AND__BA
