Section CONSTRUCTORS.
Variable ge: genv.
Variable fn: function.
(** Decomposition of integer literals *)
Inductive wf_decomposition: list (Z * Z) -> Prop :=
| wf_decomp_nil:
wf_decomposition nil
| wf_decomp_cons: forall m n p l,
n = Zzero_ext 16 m -> 0 <= p -> wf_decomposition l ->
wf_decomposition ((n, p) :: l).
Fixpoint recompose_int (accu: Z) (l: list (Z * Z)) : Z :=
match l with
| nil => accu
| (n, p) :: l => recompose_int (Zinsert accu n p 16) l
end.

Lemma exec_loadimm_k_w:
forall (rd: ireg) k m l,
wf_decomposition l ->
forall (rs: regset) accu,
rs#rd = Vint (Int.repr accu) ->
exists rs',
exec_straight_opt ge fn (loadimm_k W rd l k) rs m k rs' m
/\ rs'#rd = Vint (Int.repr (recompose_int accu l))
/\ forall r, r <> PC -> r <> rd -> rs'#r = rs#r.