let I be Instruction of SCMPDS ; :: thesis: ( InsCode I = 1 implies ex a being Int_position st I = return a )
assume A1: InsCode I = 1 ; :: thesis: ex a being Int_position st I = return a
( I in { [0 ,{} ,<*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 14, 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 14, 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 14, 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 d1 being Element of SCM-Data-Loc such that
A2: I = [1,{} ,<*d1*>] by A1, Lm2, Lm4, Lm5, Lm6;
reconsider a = d1 as Int_position by Def2;
take a ; :: thesis: I = return a
thus I = return a by A2; :: thesis: verum