consider J, K, L being Element of S such that
A1:
( L = 1 & K = 1 & J <> L & J <> K & the connectives of S . 11 is_of_type <*J,K*>,L & the connectives of S . (11 + 1) is_of_type <*J,K,L*>,J & the connectives of S . (11 + 2) is_of_type <*J*>,K & the connectives of S . (11 + 3) is_of_type <*K,L*>,J )
by Def50;
take
K
; K is integer
thus
K = 1
by A1; AOFA_A00:def 39 verum