Module X86Inj.
(** Injections on registers *)
Definition reg_ren f (r:PregEq.t) (rs rs' : regset) : Prop :=
val_obs f (Pregmap.get r rs) (Pregmap.get r rs').
Definition regset_ren f rs rs' : Prop :=
forall r, reg_ren f r rs rs'.
Definition core_inj f c c' :=
match c, c' with State rs _, State rs' _ => regset_ren f rs rs' end.
Include X86WD.
(* Lemma decode_longs_val_obs_list: forall f (vals vals' : seq val) tys (Hobs_eq: val_obs_list f vals vals'), val_obs_list f (val_casted.decode_longs tys vals) (val_casted.decode_longs tys vals'). *)
(** ** Proof that related states take related steps*)

Lemma symb_val_obs:
forall f fg g id ofs
(Hfg: forall b1 b2, fg b1 = Some b2 -> b1 = b2)
(Hge_wd: ge_wd fg g)
(Hincr: ren_incr fg f),
val_obs f (Senv.symbol_address g id ofs) (Senv.symbol_address g id ofs).