set A = 1Cat (0,1);
take
1Cat ((1Cat (0,1)),[[(1Cat (0,1)),(1Cat (0,1))],(id (1Cat (0,1)))])
; 1Cat ((1Cat (0,1)),[[(1Cat (0,1)),(1Cat (0,1))],(id (1Cat (0,1)))]) is Categorial
thus
1Cat ((1Cat (0,1)),[[(1Cat (0,1)),(1Cat (0,1))],(id (1Cat (0,1)))]) is Categorial
by Th11; verum