 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 G being strict non empty SubStr of <REAL,+> holds G = INT.Group
  iff the carrier of G = INT by Th26,GR_CY_1:def 3;
