Section X86WD.
Variable f: memren.
Definition regset_wd rs : Prop :=
forall r, valid_val f (Pregmap.get r rs).
Definition core_wd c : Prop :=
match c with State rs _ => regset_wd rs end.
Definition ge_wd (the_ge: genv) : Prop :=
(forall b, Maps.PTree.get b (genv_defs the_ge) ->
f b) /\
(forall id ofs v, Senv.symbol_address the_ge id ofs = v ->
valid_val f v).
End X86WD.
(* Lemma decode_longs_valid_val: forall f vals tys, valid_val_list f vals -> valid_val_list f (val_casted.decode_longs tys vals). *)
Hint Extern 1 (valid_val _ (@Pregmap.set _ _ _ _ _)) => eapply regset_wd_set : wd.
Hint Resolve regset_wd_set regset_wd_set_res : wd.
Proof with eauto with wd.
intros.
induction regs as [|r regs]; simpl; auto.
intros r'.
rewrite undef_regs_comm;
rewrite Pregmap.gsspec;
unfold Pregmap.get;
destruct (Pregmap.elt_eq r' r); simpl...
Qed.
Hint Extern 0 (valid_val _ (undef_regs _ _ # _ <- _ _)) => eapply regset_wd_set : wd.
Hint Resolve regset_wd_domain
valid_val_list_incr valid_val_domain
valid_val_list_domain regset_wd_undef : wd.
Proof with eauto with wd.
intros.
destruct Hge_wd as (H1 & H2).
unfold symbol_address, Senv.symbol_address in *;
simpl in *.
specialize (H2 id i _ ltac:(reflexivity)).
destruct (find_symbol g id); auto.
eapply valid_val_incr; eauto.
Qed.
Hint Resolve valid_symb : wd.
Proof with eauto with wd.
intros.
destruct v1,v2; simpl; auto;
unfold Val.cmpu, Val.cmpu_bool...
Qed.
Hint Immediate valid_val_cmpu :wd.
Proof with eauto with wd.
intros.
destruct v1,v2; simpl; auto;
unfold Val.cmpu, Val.cmpu_bool...
Qed.
Hint Immediate valid_val_cmplu :wd.
Proof with eauto 10 with wd.
intros.
unfold compare_ints...
Qed.
Hint Resolve valid_val_compare_ints : wd.
Proof with eauto 10 with wd.
intros.
unfold compare_longs...
Qed.
Hint Resolve valid_val_compare_longs : wd.
Proof with eauto with wd.
intros.
intro r.
unfold Pregmap.get...
Qed.
Proof with eauto with wd.
intros.
intro r.
unfold Pregmap.get...
Qed.

Lemma valid_val_compare_floats:
forall f rs v1 v2 r,
regset_wd f rs ->
valid_val f (compare_floats v1 v2 rs r).