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

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