theorem
  the carrier of MFuncs X = Funcs(X,X) &
  the multF of MFuncs X = (X-composition)||Funcs(X,X) &
  1.MFuncs X = id X
proof
  the_unity_wrt op(GFuncs X) = id X & the multMagma of MFuncs X = GFuncs X
  by Def22,Th75;
  hence thesis by Def40,Th17,Th74;
end;
