theorem Th22:
  for G being unital non empty multMagma holds 1..:(G,X) = X -->
  the_unity_wrt the multF of G
proof
  let G be unital non empty multMagma;
  .:(G,X) = multLoopStr(#Funcs(X, carr(G)), (op(G), carr(G)).:X, (X -->
    the_unity_wrt op(G))#) by Def3;
  hence thesis;
end;
