theorem
  for G being Circuit-like non void non empty ManySortedSign
  for C being non-empty Circuit of G st X, A specifies C
  for t being Term of S,V st t in Subtrees X ex v being Vertex of G st
  for s being State of C holds Following(s, 1+height dom t) is_stable_at v &
  ex f being SortMap of X, A, C st
  for s9 being State of X-Circuit A st s9 = s*f
  for h being CompatibleValuation of s9
  holds Following(s, 1+height dom t).v = t@(h, A) by Th58,Th60;
