reserve i for Nat,
  j for Element of NAT,
  X,Y,x,y,z for set;
reserve C for initialized ConstructorSignature,
  s for SortSymbol of C,
  o for OperSymbol of C,
  c for constructor OperSymbol of C;
reserve a,b for expression of C, an_Adj C;
reserve t, t1,t2 for expression of C, a_Type C;
reserve p for FinSequence of QuasiTerms C;
reserve e for expression of C;
reserve a,a9 for expression of C, an_Adj C;
reserve q for pure expression of C, a_Type C,
  A for finite Subset of QuasiAdjs C;
reserve T for quasi-type of C;

theorem
  for T1,T2 being quasi-type of C
  st adjs T1 = adjs T2 & the_base_of T1 = the_base_of T2
  holds T1 = T2
proof
  let T1,T2 be quasi-type of C;
  T1 = (adjs T1) ast the_base_of T1;
  hence thesis by Th80;
end;
