reconsider f = idseq 2 as one-to-one FinSequence-like Function of (Seg 2),(Seg 2) ;
f . 1 = (Rev f) . (len f) by FINSEQ_5:62;
then A1: (idseq 2) . 1 = (Rev (idseq 2)) . 2 by CARD_1:def 7;
f . (len f) = (Rev f) . 1 by FINSEQ_5:62;
then A2: f . 2 = (Rev f) . 1 by CARD_1:def 7;
A3: dom (Rev f) = dom f by FINSEQ_5:57;
then A4: dom (Rev f) = Seg 2 by RELAT_1:45;
then ( 1 in dom f & 2 in dom f ) by A3;
hence ( (Rev (idseq 2)) . 1 = 2 & (Rev (idseq 2)) . 2 = 1 ) by A1, A2, A3, A4, FUNCT_1:18; :: thesis: verum