let I be Program of SCMPDS; :: thesis: for a being Int_position
for i being Integer holds Shift (I,1) c= while>0 (a,i,I)
let a be Int_position ; :: thesis: for i being Integer holds Shift (I,1) c= while>0 (a,i,I)
let i be Integer; :: thesis: Shift (I,1) c= while>0 (a,i,I)
set i1 = (a,i) <=0_goto ((card I) + 2);
set i2 = goto (- ((card I) + 1));
A1: while>0 (a,i,I) = (((a,i) <=0_goto ((card I) + 2)) ';' I) ';' (Load (goto (- ((card I) + 1)))) by SCMPDS_4:def 5
.= ((Load ((a,i) <=0_goto ((card I) + 2))) ';' I) ';' (Load (goto (- ((card I) + 1)))) by SCMPDS_4:def 4 ;
card (Load ((a,i) <=0_goto ((card I) + 2))) = 1 by SCMPDS_5:6;
hence Shift (I,1) c= while>0 (a,i,I) by A1, SCMPDS_7:16; :: thesis: verum