
theorem
for R being unital non degenerated doubleLoopStr
for a being Element of R
for n being non trivial Nat
holds X^(n,R).1 = -1.R & X^(n,R).n = 1.R &
      for m being Nat st m <> 1 & m <> n holds X^(n,R).m = 0.R
by Lm10,Lm11;
