Inductive val_content_inject (f: meminj): memory_chunk -> val -> val -> Prop :=
  | val_content_inject_8_signed:
      forall n1 n2, Int.sign_ext 8 n1 = Int.sign_ext 8 n2 ->
      val_content_inject f Mint8signed (Vint n1) (Vint n2)
  | val_content_inject_8_unsigned:
      forall n1 n2, Int.zero_ext 8 n1 = Int.zero_ext 8 n2 ->
      val_content_inject f Mint8unsigned (Vint n1) (Vint n2)
  | val_content_inject_16_signed:
      forall n1 n2, Int.sign_ext 16 n1 = Int.sign_ext 16 n2 ->
      val_content_inject f Mint16signed (Vint n1) (Vint n2)
  | val_content_inject_16_unsigned:
      forall n1 n2, Int.zero_ext 16 n1 = Int.zero_ext 16 n2 ->
      val_content_inject f Mint16unsigned (Vint n1) (Vint n2)
  | val_content_inject_single:
      forall n1 n2, Float.singleoffloat n1 = Float.singleoffloat n2 ->
      val_content_inject f Mfloat32 (Vfloat n1) (Vfloat n2)
  | val_content_inject_base:
      forall chunk v1 v2, val_inject f v1 v2 ->
      val_content_inject f chunk v1 v2.Inductive val_content_inject (f: meminj): memory_chunk -> val -> val -> Prop :=
  | val_content_inject_8_signed:
      forall n1 n2, Int.sign_ext 8 n1 = Int.sign_ext 8 n2 ->
      val_content_inject f Mint8signed (Vint n1) (Vint n2)
  | val_content_inject_8_unsigned:
      forall n1 n2, Int.zero_ext 8 n1 = Int.zero_ext 8 n2 ->
      val_content_inject f Mint8unsigned (Vint n1) (Vint n2)
  | val_content_inject_16_signed:
      forall n1 n2, Int.sign_ext 16 n1 = Int.sign_ext 16 n2 ->
      val_content_inject f Mint16signed (Vint n1) (Vint n2)
  | val_content_inject_16_unsigned:
      forall n1 n2, Int.zero_ext 16 n1 = Int.zero_ext 16 n2 ->
      val_content_inject f Mint16unsigned (Vint n1) (Vint n2)
  | val_content_inject_single:
      forall n1 n2, Float.singleoffloat n1 = Float.singleoffloat n2 ->
      val_content_inject f Mfloat32 (Vfloat n1) (Vfloat n2)
  | val_content_inject_base:
      forall chunk v1 v2, val_inject f v1 v2 ->
      val_content_inject f chunk v1 v2.Inductive val_content_inject (f: meminj): memory_chunk -> val -> val -> Prop :=
  | val_content_inject_8_signed:
      forall n1 n2, Int.sign_ext 8 n1 = Int.sign_ext 8 n2 ->
      val_content_inject f Mint8signed (Vint n1) (Vint n2)
  | val_content_inject_8_unsigned:
      forall n1 n2, Int.zero_ext 8 n1 = Int.zero_ext 8 n2 ->
      val_content_inject f Mint8unsigned (Vint n1) (Vint n2)
  | val_content_inject_16_signed:
      forall n1 n2, Int.sign_ext 16 n1 = Int.sign_ext 16 n2 ->
      val_content_inject f Mint16signed (Vint n1) (Vint n2)
  | val_content_inject_16_unsigned:
      forall n1 n2, Int.zero_ext 16 n1 = Int.zero_ext 16 n2 ->
      val_content_inject f Mint16unsigned (Vint n1) (Vint n2)
  | val_content_inject_single:
      forall n1 n2, Float.singleoffloat n1 = Float.singleoffloat n2 ->
      val_content_inject f Mfloat32 (Vfloat n1) (Vfloat n2)
  | val_content_inject_base:
      forall chunk v1 v2, val_inject f v1 v2 ->
      val_content_inject f chunk v1 v2.Inductive val_content_inject (f: meminj): memory_chunk -> val -> val -> Prop :=
  | val_content_inject_8_signed:
      forall n1 n2, Int.sign_ext 8 n1 = Int.sign_ext 8 n2 ->
      val_content_inject f Mint8signed (Vint n1) (Vint n2)
  | val_content_inject_8_unsigned:
      forall n1 n2, Int.zero_ext 8 n1 = Int.zero_ext 8 n2 ->
      val_content_inject f Mint8unsigned (Vint n1) (Vint n2)
  | val_content_inject_16_signed:
      forall n1 n2, Int.sign_ext 16 n1 = Int.sign_ext 16 n2 ->
      val_content_inject f Mint16signed (Vint n1) (Vint n2)
  | val_content_inject_16_unsigned:
      forall n1 n2, Int.zero_ext 16 n1 = Int.zero_ext 16 n2 ->
      val_content_inject f Mint16unsigned (Vint n1) (Vint n2)
  | val_content_inject_single:
      forall n1 n2, Float.singleoffloat n1 = Float.singleoffloat n2 ->
      val_content_inject f Mfloat32 (Vfloat n1) (Vfloat n2)
  | val_content_inject_base:
      forall chunk v1 v2, val_inject f v1 v2 ->
      val_content_inject f chunk v1 v2.Inductive val_content_inject (f: meminj): memory_chunk -> val -> val -> Prop :=
  | val_content_inject_8_signed:
      forall n1 n2, Int.sign_ext 8 n1 = Int.sign_ext 8 n2 ->
      val_content_inject f Mint8signed (Vint n1) (Vint n2)
  | val_content_inject_8_unsigned:
      forall n1 n2, Int.zero_ext 8 n1 = Int.zero_ext 8 n2 ->
      val_content_inject f Mint8unsigned (Vint n1) (Vint n2)
  | val_content_inject_16_signed:
      forall n1 n2, Int.sign_ext 16 n1 = Int.sign_ext 16 n2 ->
      val_content_inject f Mint16signed (Vint n1) (Vint n2)
  | val_content_inject_16_unsigned:
      forall n1 n2, Int.zero_ext 16 n1 = Int.zero_ext 16 n2 ->
      val_content_inject f Mint16unsigned (Vint n1) (Vint n2)
  | val_content_inject_single:
      forall n1 n2, Float.singleoffloat n1 = Float.singleoffloat n2 ->
      val_content_inject f Mfloat32 (Vfloat n1) (Vfloat n2)
  | val_content_inject_base:
      forall chunk v1 v2, val_inject f v1 v2 ->
      val_content_inject f chunk v1 v2.Inductive val_content_inject (f: meminj): memory_chunk -> val -> val -> Prop :=
  | val_content_inject_8_signed:
      forall n1 n2, Int.sign_ext 8 n1 = Int.sign_ext 8 n2 ->
      val_content_inject f Mint8signed (Vint n1) (Vint n2)
  | val_content_inject_8_unsigned:
      forall n1 n2, Int.zero_ext 8 n1 = Int.zero_ext 8 n2 ->
      val_content_inject f Mint8unsigned (Vint n1) (Vint n2)
  | val_content_inject_16_signed:
      forall n1 n2, Int.sign_ext 16 n1 = Int.sign_ext 16 n2 ->
      val_content_inject f Mint16signed (Vint n1) (Vint n2)
  | val_content_inject_16_unsigned:
      forall n1 n2, Int.zero_ext 16 n1 = Int.zero_ext 16 n2 ->
      val_content_inject f Mint16unsigned (Vint n1) (Vint n2)
  | val_content_inject_single:
      forall n1 n2, Float.singleoffloat n1 = Float.singleoffloat n2 ->
      val_content_inject f Mfloat32 (Vfloat n1) (Vfloat n2)
  | val_content_inject_base:
      forall chunk v1 v2, val_inject f v1 v2 ->
      val_content_inject f chunk v1 v2.Inductive val_content_inject (f: meminj): memory_chunk -> val -> val -> Prop :=
  | val_content_inject_8_signed:
      forall n1 n2, Int.sign_ext 8 n1 = Int.sign_ext 8 n2 ->
      val_content_inject f Mint8signed (Vint n1) (Vint n2)
  | val_content_inject_8_unsigned:
      forall n1 n2, Int.zero_ext 8 n1 = Int.zero_ext 8 n2 ->
      val_content_inject f Mint8unsigned (Vint n1) (Vint n2)
  | val_content_inject_16_signed:
      forall n1 n2, Int.sign_ext 16 n1 = Int.sign_ext 16 n2 ->
      val_content_inject f Mint16signed (Vint n1) (Vint n2)
  | val_content_inject_16_unsigned:
      forall n1 n2, Int.zero_ext 16 n1 = Int.zero_ext 16 n2 ->
      val_content_inject f Mint16unsigned (Vint n1) (Vint n2)
  | val_content_inject_single:
      forall n1 n2, Float.singleoffloat n1 = Float.singleoffloat n2 ->
      val_content_inject f Mfloat32 (Vfloat n1) (Vfloat n2)
  | val_content_inject_base:
      forall chunk v1 v2, val_inject f v1 v2 ->
      val_content_inject f chunk v1 v2.

Lemma var_addr_correct: forall cenv id f tf e le te sp lo hi m cs tm b, match_callstack f m tm (Frame cenv tf e le te sp lo hi :: cs) (Mem.nextblock m) (Mem.nextblock tm) -> eval_var_addr ge e id b -> exists tv, eval_expr tge (Vptr sp Int.zero) te tm (var_addr cenv id) tv /\ val_inject f (Vptr b Int.zero) tv.