(** 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.

Lemma val_obs_addrmode: forall f fg g (a : addrmode) rs rs' (Hrs_ren: regset_ren f rs rs') (Hfg: forall b1 b2, fg b1 = Some b2 -> b1 = b2) (Hge_wd: ge_wd fg g) (Hincr: ren_incr fg f), val_obs f (eval_addrmode g a rs) (eval_addrmode g a rs').