( <e3> . 1 = 0 & <e3> . 2 = 0 & <e3> . 3 = 1 ) by FINSEQ_1:62;
then 0 * <e3> = |[(0 * 0 ),(0 * 0 ),(0 * 1)]| by Lm3
.= |[0 ,0 ,0 ]| ;
hence 0 * <e3> = |[0 ,0 ,0 ]| ; :: thesis: verum