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-up 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-up 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-up 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-up 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-up a,i,n,I),s) = (card I) + 3 )
assume s . (DataLoc (s . a),i) >= 0 ; :: thesis: IC (IExec (for-up a,i,n,I),s) = (card I) + 3
then IExec (for-up a,i,n,I),s = s +* (Start-At ((card I) + 3),SCMPDS ) by Th55;
hence IC (IExec (for-up a,i,n,I),s) = (card I) + 3 by FUNCT_4:121; :: thesis: verum