let a be Int_position ; :: thesis: for l being Element of NAT
for k1 being Integer holds NIC (a := k1),l = {(succ l)}
let l be Element of NAT ; :: thesis: for k1 being Integer holds NIC (a := k1),l = {(succ l)}
let k1 be Integer; :: thesis: NIC (a := k1),l = {(succ l)}
set i = a := k1;
for s being State of SCMPDS st IC s = l & s . l = a := k1 holds
(Exec (a := k1),s) . (IC SCMPDS ) = succ (IC s) by SCMPDS_2:57;
hence NIC (a := k1),l = {(succ l)} by Th7; :: thesis: verum