let I be Instruction of SCMPDS; :: thesis: ( InsCode I = 6 implies ex a being Int_position ex k1, k2 being Integer st I = (a,k1) >=0_goto k2 )
assume A1: InsCode I = 6 ; :: thesis: ex a being Int_position ex k1, k2 being Integer st I = (a,k1) >=0_goto k2
( 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 Lm2;
then consider I1 being Element of Segm 14, d1 being Element of SCM-Data-Loc , k1, k2 being Element of INT such that
A2: I = [I1,{},<*d1,k1,k2*>] and
A3: I1 in {4,5,6,7,8} by A1, Lm8;
( I1 = 4 or I1 = 5 or I1 = 6 or I1 = 7 or I1 = 8 ) by A3, ENUMSET1:def 3;
then consider d1 being Element of SCM-Data-Loc , k1, k2 being Integer such that
A4: I = [6,{},<*d1,k1,k2*>] by A1, A2, RECDEF_2:def 1;
reconsider a = d1 as Int_position by Def2;
take a ; :: thesis: ex k1, k2 being Integer st I = (a,k1) >=0_goto k2
take k1 ; :: thesis: ex k2 being Integer st I = (a,k1) >=0_goto k2
take k2 ; :: thesis: I = (a,k1) >=0_goto k2
thus I = (a,k1) >=0_goto k2 by A4; :: thesis: verum