reserve i for Nat, x,y for set;
reserve S for non empty non void ManySortedSign;
reserve X for non-empty ManySortedSet of S;

theorem Th43:
  for B being non void non empty ManySortedSign
  for T,C being non-empty MSAlgebra over B
  for X being non-empty GeneratorSet of T
  for g being set st g in C-States(X)
  holds g is ManySortedFunction of X, the Sorts of C
  proof
    let B be non void non empty ManySortedSign;
    let T,C be non-empty MSAlgebra over B;
    let X be non-empty GeneratorSet of T;
    X is_transformable_to the Sorts of C;
    hence thesis by AUTALG_1:19;
  end;
