 reserve x,y,X,Y for set;
reserve G for non empty multMagma,
  D for set,
  a,b,c,r,l for Element of G;
reserve M for non empty multLoopStr;
reserve H for non empty SubStr of G,
  N for non empty MonoidalSubStr of G;

theorem Th24:
  for G being non empty multMagma, H being non empty SubStr of G
  holds the multF of H = (the multF of G)||the carrier of H
proof
  let G be non empty multMagma, H be non empty SubStr of G;
  op(H) c= op(G) & dom op(H) = [:carr(H),carr(H):] by Def23,FUNCT_2:def 1;
  hence thesis by GRFUNC_1:23;
end;
