let s be State of SCMPDS; :: thesis: for I being Program of SCMPDS
for a being Int_position
for i being Integer
for n being Element of NAT st s . (DataLoc ((s . a),i)) <= 0 holds
IC (IExec ((for-down (a,i,n,I)),s)) = (card I) + 3
let I be Program of SCMPDS; :: thesis: for a being Int_position
for i being Integer
for n being Element of NAT st s . (DataLoc ((s . a),i)) <= 0 holds
IC (IExec ((for-down (a,i,n,I)),s)) = (card I) + 3
let a be Int_position ; :: thesis: for i being Integer
for n being Element of NAT st s . (DataLoc ((s . a),i)) <= 0 holds
IC (IExec ((for-down (a,i,n,I)),s)) = (card I) + 3
let i be Integer; :: thesis: for n being Element of NAT st s . (DataLoc ((s . a),i)) <= 0 holds
IC (IExec ((for-down (a,i,n,I)),s)) = (card I) + 3
let n be Element of NAT ; :: thesis: ( s . (DataLoc ((s . a),i)) <= 0 implies IC (IExec ((for-down (a,i,n,I)),s)) = (card I) + 3 )
assume s . (DataLoc ((s . a),i)) <= 0 ; :: thesis: IC (IExec ((for-down (a,i,n,I)),s)) = (card I) + 3
then IExec ((for-down (a,i,n,I)),s) = s +* (Start-At (((card I) + 3),SCMPDS)) by Th64;
hence IC (IExec ((for-down (a,i,n,I)),s)) = (card I) + 3 by FUNCT_4:121; :: thesis: verum