let a be Int_position; :: thesis: for i being Integer
for I being Program of SCMPDS holds card (stop (while<>0 (a,i,I))) = (card I) + 4
let i be Integer; :: thesis: for I being Program of SCMPDS holds card (stop (while<>0 (a,i,I))) = (card I) + 4
let I be Program of SCMPDS; :: thesis: card (stop (while<>0 (a,i,I))) = (card I) + 4
thus card (stop (while<>0 (a,i,I))) = (card (while<>0 (a,i,I))) + 1 by COMPOS_1:55
.= ((card I) + 3) + 1 by Th8
.= (card I) + 4 ; :: thesis: verum