let S be non empty 1-sorted ; for d1 being Element of SCM-Data-Loc
for i1 being Nat holds [7,<*i1*>,<*d1*>] in SCM-Instr S
let d1 be Element of SCM-Data-Loc ; for i1 being Nat holds [7,<*i1*>,<*d1*>] in SCM-Instr S
let i1 be Nat; [7,<*i1*>,<*d1*>] in SCM-Instr S
reconsider D1 = d1 as Element of SCM-Data-Loc ;
reconsider I1 = i1 as Element of NAT by ORDINAL1:def 12;
[7,<*I1*>,<*D1*>] in { [7,<*i*>,<*a*>] where i is Nat, a is Element of SCM-Data-Loc : verum }
;
then
[7,<*I1*>,<*D1*>] in (({[0,{},{}]} \/ { [I,{},<*a,b*>] where I is Element of Segm 8, a, b is Element of SCM-Data-Loc : I in {1,2,3,4} } ) \/ { [6,<*i*>,{}] where i is Nat : verum } ) \/ { [7,<*i*>,<*a*>] where i is Nat, a is Element of SCM-Data-Loc : verum }
by XBOOLE_0:def 3;
hence
[7,<*i1*>,<*d1*>] in SCM-Instr S
by XBOOLE_0:def 3; verum