reserve m,n for Nat;
reserve i,j for Integer;
reserve S for non empty addMagma;
reserve r,r1,r2,s,s1,s2,t,t1,t2 for Element of S;
reserve G for addGroup-like non empty addMagma;
reserve e,h for Element of G;
reserve G for addGroup;
reserve f,g,h for Element of G;
reserve u for UnOp of G;

theorem
  the_inverseOp_wrt the addF of G = add_inverse(G)
proof
  set o = the addF of G;
  o is having_an_inverseOp & add_inverse(G) is_an_inverseOp_wrt o by Th22;
  hence thesis by FINSEQOP:def 3;
end;
