let I be Instruction of SCMPDS; :: thesis: ( InsCode I = 3 implies ex a being Int_position ex k1 being Integer st I = saveIC (a,k1) )
assume A1: InsCode I = 3 ; :: thesis: ex a being Int_position ex k1 being Integer st I = saveIC (a,k1)
( I in {[0,{},{}]} or I in { [14,{},<*k1*>] where k1 is Element of INT : verum } or I in { [1,{},<*d1*>] where d1 is Element of SCM-Data-Loc : verum } or I in { [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} } or I in { [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} } or I in { [I3,{},<*d4,d5,k5,k6*>] where I3 is Element of Segm 15, d4, d5 is Element of SCM-Data-Loc , k5, k6 is Element of INT : I3 in {9,10,11,12,13} } ) by Lm1;
then consider I1 being Element of Segm 15, d1 being Element of SCM-Data-Loc , k1 being Element of INT such that
A2: I = [I1,{},<*d1,k1*>] and
I1 in {2,3} by A1, Lm2, Lm3, Lm5, Lm6, Lm7;
consider d1 being Element of SCM-Data-Loc , k1 being Integer such that
A3: I = [3,{},<*d1,k1*>] by A1, A2;
reconsider a = d1 as Int_position by AMI_2:def 16;
take a ; :: thesis: ex k1 being Integer st I = saveIC (a,k1)
take k1 ; :: thesis: I = saveIC (a,k1)
thus I = saveIC (a,k1) by A3; :: thesis: verum