let N be non empty with_non-empty_elements set ; :: thesis: for S being non empty halting IC-Ins-separated AMI-Struct of NAT ,N
for p being finite PartFunc of NAT ,the Instructions of S
for s being State of S
for i being Nat st p halts_at IC (Comput p,s,i) holds
Result p,s = Comput p,s,i
let S be non empty halting IC-Ins-separated AMI-Struct of NAT ,N; :: thesis: for p being finite PartFunc of NAT ,the Instructions of S
for s being State of S
for i being Nat st p halts_at IC (Comput p,s,i) holds
Result p,s = Comput p,s,i
let p be finite PartFunc of NAT ,the Instructions of S; :: thesis: for s being State of S
for i being Nat st p halts_at IC (Comput p,s,i) holds
Result p,s = Comput p,s,i
let s be State of S; :: thesis: for i being Nat st p halts_at IC (Comput p,s,i) holds
Result p,s = Comput p,s,i
let i be Nat; :: thesis: ( p halts_at IC (Comput p,s,i) implies Result p,s = Comput p,s,i )
assume A1: p halts_at IC (Comput p,s,i) ; :: thesis: Result p,s = Comput p,s,i
then p halts_on s by Th83;
hence Result p,s = Comput p,s,i by A1, Th85; :: thesis: verum