set f = (0,1) --> (1,0);
A1:
rng ((0,1) --> (1,0)) = 2
by CARD_1:50, FUNCT_4:64;
dom ((0,1) --> (1,0)) = 2
by CARD_1:50, FUNCT_4:62;
then
(0,1) --> (1,0) is Function of 2,2
by A1, FUNCT_2:def 1, RELSET_1:4;
hence
(0,1) --> (1,0) is Permutation of 2
by A1, FUNCT_2:57; verum