let S be non empty 1-sorted ; :: thesis: [0 ,{} ] in SCM-Instr S
[0 ,{} ] in {[0 ,{} ]} by TARSKI:def 1;
then [0 ,{} ] 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} } by XBOOLE_0:def 3;
then [0 ,{} ] 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 Element of NAT : verum } by XBOOLE_0:def 3;
then [0 ,{} ] 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 Element of NAT : verum } ) \/ { [7,<*i,a*>] where i is Element of NAT , a is Element of SCM-Data-Loc : verum } by XBOOLE_0:def 3;
hence [0 ,{} ] in SCM-Instr S by XBOOLE_0:def 3; :: thesis: verum