let a be Int_position ; :: thesis: for i being Integer
for n being Element of NAT
for I being Program of SCMPDS holds card (stop (for-down a,i,n,I)) = (card I) + 4
let i be Integer; :: thesis: for n being Element of NAT
for I being Program of SCMPDS holds card (stop (for-down a,i,n,I)) = (card I) + 4
let n be Element of NAT ; :: thesis: for I being Program of SCMPDS holds card (stop (for-down a,i,n,I)) = (card I) + 4
let I be Program of SCMPDS ; :: thesis: card (stop (for-down a,i,n,I)) = (card I) + 4
thus card (stop (for-down a,i,n,I)) = (card (for-down a,i,n,I)) + 1 by SCMPDS_5:7
.= ((card I) + 3) + 1 by SCMPDS_7:60
.= (card I) + 4 ; :: thesis: verum