Char (Z/ 2) = 2 by RING_3:def 6;
then A: 2 '*' (1. (Z/ 2)) = 0. (Z/ 2) by RING_3:def 5;
thus eval ((npoly ((Z/ 2),2)),(1. (Z/ 2))) = ((1. (Z/ 2)) |^ 2) + (1. (Z/ 2)) by lem1a
.= ((1. (Z/ 2)) * (1. (Z/ 2))) + (1. (Z/ 2)) by prl4
.= 0. (Z/ 2) by A, prl3 ; :: thesis: verum