Require Export sha.pure_lemmas.
Require Export sha.general_lemmas.
Require Export sha.vst_lemmas.
Export ListNotations.
Local Open Scope logic.
Global Opaque K256.
Transparent peq.
Fixpoint loops (s: statement) : list statement :=
match s with
| Ssequence a b => loops a ++ loops b
| Sloop _ _ => [s]
| Sifthenelse _ a b => loops a ++ loops b
| _ => nil
end.
Fixpoint sequence (cs: list statement) s :=
match cs with
| nil => s
| c::cs' => Ssequence c (sequence cs' s)
end.
Fixpoint rsequence (cs: list statement) s :=
match cs with
| nil => s
| c::cs' => Ssequence (rsequence cs' s) c
end.
Fixpoint sequenceN (n: nat) (s: statement) : list statement :=
match n, s with
| S n', Ssequence a s' => a::sequenceN n' s'
| _, _ => nil
end.
Local Open Scope nat.
(*** Application of Omega stuff ***)

Lemma nth_intlist_to_bytelist_eq:
forall d (n i j k: nat) al, (i < n)%nat -> (i < j*4)%nat -> (i < k*4)%nat ->
nth i (intlist_to_bytelist (firstn j al)) d = nth i (intlist_to_bytelist (firstn k al)) d.