 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
  for n1,n2 being Element of NAT, m1,m2 being Element of <NAT,*> st
    n1 = m1 & n2 = m2 holds m1*m2 = n1*n2 by Th50;
