let k1 be Integer; :: thesis: [14,{},<*k1*>] in SCMPDS-Instr
k1 is Element of INT by INT_1:def 2;
then [14,{},<*k1*>] in { [14,{},<*k1*>] where k1 is Element of INT : verum } ;
then [14,{},<*k1*>] in {[0,{},{}]} \/ { [14,{},<*k1*>] where k1 is Element of INT : verum } by XBOOLE_0:def 3;
then [14,{},<*k1*>] in ({[0,{},{}]} \/ { [14,{},<*k1*>] where k1 is Element of INT : verum } ) \/ { [1,{},<*d1*>] where d1 is Element of SCM-Data-Loc : verum } by XBOOLE_0:def 3;
then [14,{},<*k1*>] in (({[0,{},{}]} \/ { [14,{},<*k1*>] where k1 is Element of INT : verum } ) \/ { [1,{},<*d1*>] where d1 is Element of SCM-Data-Loc : verum } ) \/ { [I1,{},<*d2,k2*>] where I1 is Element of Segm 15, d2 is Element of SCM-Data-Loc , k2 is Element of INT : I1 in {2,3} } by XBOOLE_0:def 3;
then [14,{},<*k1*>] in ((({[0,{},{}]} \/ { [14,{},<*k1*>] where k1 is Element of INT : verum } ) \/ { [1,{},<*d1*>] where d1 is Element of SCM-Data-Loc : verum } ) \/ { [I1,{},<*d2,k2*>] where I1 is Element of Segm 15, d2 is Element of SCM-Data-Loc , k2 is Element of INT : I1 in {2,3} } ) \/ { [I2,{},<*d3,k3,k4*>] where I2 is Element of Segm 15, d3 is Element of SCM-Data-Loc , k3, k4 is Element of INT : I2 in {4,5,6,7,8} } by XBOOLE_0:def 3;
hence [14,{},<*k1*>] in SCMPDS-Instr by XBOOLE_0:def 3; :: thesis: verum