 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 Th71:
  for F being non empty SubStr of GPFuncs X st
  id X is Element of F holds
    F is unital & the_unity_wrt the multF of F = id X
proof
  let F be non empty SubStr of GPFuncs X;
  the_unity_wrt op(GPFuncs X) = id X by Th69;
  hence thesis by Th30;
end;
