let s be State of ; :: thesis: for I being Program of
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) = inspos ((card I) + 3)

let I be Program of ; :: 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) = inspos ((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) = inspos ((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) = inspos ((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) = inspos ((card I) + 3) )
assume s . (DataLoc (s . a),i) >= 0 ; :: thesis: IC (IExec (for-up a,i,n,I),s) = inspos ((card I) + 3)
then IExec (for-up a,i,n,I),s = s +* (Start-At (inspos ((card I) + 3))) by Th55;
hence IC (IExec (for-up a,i,n,I),s) = inspos ((card I) + 3) by AMI_1:111; :: thesis: verum