let IL be non empty set ; :: thesis: for N being with_non-empty_elements set
for k being Element of NAT
for S being non empty stored-program IC-Ins-separated steady-programmed definite AMI-Struct of IL,N
for s being State of S holds Computation s,(k + 1) = Exec (s . (IC (Computation s,k))),(Computation s,k)
let N be with_non-empty_elements set ; :: thesis: for k being Element of NAT
for S being non empty stored-program IC-Ins-separated steady-programmed definite AMI-Struct of IL,N
for s being State of S holds Computation s,(k + 1) = Exec (s . (IC (Computation s,k))),(Computation s,k)
let k be Element of NAT ; :: thesis: for S being non empty stored-program IC-Ins-separated steady-programmed definite AMI-Struct of IL,N
for s being State of S holds Computation s,(k + 1) = Exec (s . (IC (Computation s,k))),(Computation s,k)
let S be non empty stored-program IC-Ins-separated steady-programmed definite AMI-Struct of IL,N; :: thesis: for s being State of S holds Computation s,(k + 1) = Exec (s . (IC (Computation s,k))),(Computation s,k)
let s be State of S; :: thesis: Computation s,(k + 1) = Exec (s . (IC (Computation s,k))),(Computation s,k)
thus Computation s,(k + 1) = Following (Computation s,k) by Tx1
.= Exec (s . (IC (Computation s,k))),(Computation s,k) by Th54 ; :: thesis: verum