let n be Nat; for R being non degenerated unital doubleLoopStr holds LC (npoly (R,n)) = 1. R
let R be non degenerated unital doubleLoopStr ; LC (npoly (R,n)) = 1. R
set q = npoly (R,n);
A: n =
deg (npoly (R,n))
by lem6
.=
(len (npoly (R,n))) - 1
by HURWITZ:def 2
;
then
n + 1 = len (npoly (R,n))
;
then
(len (npoly (R,n))) -' 1 = n
by A, XREAL_1:233, NAT_1:11;
hence
LC (npoly (R,n)) = 1. R
by Lm10; verum