Instance Decidable_eq_mreg : forall (x y: mreg), Decidable (eq x y) := Decidable_eq mreg_eq.Instance Finite_mreg : Finite mreg := {
  Finite_elements := all_mregs;
  Finite_elements_spec := all_mregs_complete
}.Definition mreg_type (r: mreg): typ :=
  match r with
  | R3  | R4  | R5  | R6  | R7  | R8  | R9  | R10  | R11 | R12
  | R14 | R15 | R16 | R17 | R18 | R19 | R20 | R21 | R22 | R23 | R24
  | R25 | R26 | R27 | R28 | R29 | R30 | R31 => if Archi.ppc64 then Tany64 else Tany32
  | F0  | F1  | F2  | F3  | F4  | F5  | F6  | F7
  | F8  | F9  | F10 | F11 | F12 | F13 | F14 | F15
  | F16 | F17 | F18 | F19 | F20 | F21 | F22 | F23
  | F24 | F25 | F26 | F27 | F28 | F29 | F30 | F31 => Tany64
  end.Definition t := mreg.Definition eq := mreg_eq.Definition index (r: mreg): positive :=
    match r with
    | R3 => 1  | R4 => 2  | R5 => 3  | R6 => 4
    | R7 => 5  | R8 => 6  | R9 => 7  | R10 => 8
    | R11 => 9 | R12 => 10
    | R14 => 11 | R15 => 12 | R16 => 13
    | R17 => 14 | R18 => 15 | R19 => 16 | R20 => 17
    | R21 => 18 | R22 => 19 | R23 => 20 | R24 => 21
    | R25 => 22 | R26 => 23 | R27 => 24 | R28 => 25
    | R29 => 26 | R30 => 27 | R31 => 28
    | F0 => 29
    | F1 => 30  | F2 => 31  | F3 => 32  | F4 => 33
    | F5 => 34  | F6 => 35  | F7 => 36  | F8 => 37
    | F9 => 38  | F10 => 39 | F11 => 40 | F12 => 41
    | F13 => 42 | F14 => 43 | F15 => 44
    | F16 => 45 | F17 => 46 | F18 => 47 | F19 => 48
    | F20 => 49 | F21 => 50 | F22 => 51 | F23 => 52
    | F24 => 53 | F25 => 54 | F26 => 55 | F27 => 56
    | F28 => 57 | F29 => 58 | F30 => 59 | F31 => 60
    end.

(* Specifications: *)
Lemma index_inj: forall r1 r2, index r1 = index r2 -> r1 = r2.