reserve S for non empty non void ManySortedSign,
  A for MSAlgebra over S;
reserve A for non-empty MSAlgebra over S;
reserve S for non empty non void ManySortedSign,
  A for non-empty MSAlgebra over S,
  R for ManySortedRelation of the Sorts of A;

theorem
  for R being ManySortedRelation of A holds EqCl(R,A) c= EqTh R & InvCl
  R c= EqTh R & StabCl R c= EqTh R & TRS R c= EqTh R
proof
  let R be ManySortedRelation of A;
A1: R c= EqTh R by Def15;
  hence EqCl(R,A) c= EqTh R by Th44;
  thus thesis by A1,Def11,Def12,Def13;
end;
