Merge pull request #44 from AeneasVerif/son_traits_types

Add support for traits

7 files changed, 753 insertions, 400 deletions

diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.Template.fst b/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.Template.fst
index 615c670d..61885ac7 100644
--- a/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.Template.fst
+++ b/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.Template.fst
@@ -8,56 +8,56 @@ open HashmapMain.Types
 
 (** [hashmap_main::hashmap::HashMap::{0}::allocate_slots]: decreases clause *)
 unfold
-let hashmap_hash_map_allocate_slots_loop_decreases (t : Type0)
-  (slots : vec (hashmap_list_t t)) (n : usize) : nat =
+let hashmap_HashMap_allocate_slots_loop_decreases (t : Type0)
+  (slots : alloc_vec_Vec (hashmap_List_t t)) (n : usize) : nat =
   admit ()
 
 (** [hashmap_main::hashmap::HashMap::{0}::clear]: decreases clause *)
 unfold
-let hashmap_hash_map_clear_loop_decreases (t : Type0)
-  (slots : vec (hashmap_list_t t)) (i : usize) : nat =
+let hashmap_HashMap_clear_loop_decreases (t : Type0)
+  (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) : nat =
   admit ()
 
 (** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: decreases clause *)
 unfold
-let hashmap_hash_map_insert_in_list_loop_decreases (t : Type0) (key : usize)
-  (value : t) (ls : hashmap_list_t t) : nat =
+let hashmap_HashMap_insert_in_list_loop_decreases (t : Type0) (key : usize)
+  (value : t) (ls : hashmap_List_t t) : nat =
   admit ()
 
 (** [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list]: decreases clause *)
 unfold
-let hashmap_hash_map_move_elements_from_list_loop_decreases (t : Type0)
-  (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) : nat =
+let hashmap_HashMap_move_elements_from_list_loop_decreases (t : Type0)
+  (ntable : hashmap_HashMap_t t) (ls : hashmap_List_t t) : nat =
   admit ()
 
 (** [hashmap_main::hashmap::HashMap::{0}::move_elements]: decreases clause *)
 unfold
-let hashmap_hash_map_move_elements_loop_decreases (t : Type0)
-  (ntable : hashmap_hash_map_t t) (slots : vec (hashmap_list_t t)) (i : usize)
-  : nat =
+let hashmap_HashMap_move_elements_loop_decreases (t : Type0)
+  (ntable : hashmap_HashMap_t t) (slots : alloc_vec_Vec (hashmap_List_t t))
+  (i : usize) : nat =
   admit ()
 
 (** [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list]: decreases clause *)
 unfold
-let hashmap_hash_map_contains_key_in_list_loop_decreases (t : Type0)
-  (key : usize) (ls : hashmap_list_t t) : nat =
+let hashmap_HashMap_contains_key_in_list_loop_decreases (t : Type0)
+  (key : usize) (ls : hashmap_List_t t) : nat =
   admit ()
 
 (** [hashmap_main::hashmap::HashMap::{0}::get_in_list]: decreases clause *)
 unfold
-let hashmap_hash_map_get_in_list_loop_decreases (t : Type0) (key : usize)
-  (ls : hashmap_list_t t) : nat =
+let hashmap_HashMap_get_in_list_loop_decreases (t : Type0) (key : usize)
+  (ls : hashmap_List_t t) : nat =
   admit ()
 
 (** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: decreases clause *)
 unfold
-let hashmap_hash_map_get_mut_in_list_loop_decreases (t : Type0)
-  (ls : hashmap_list_t t) (key : usize) : nat =
+let hashmap_HashMap_get_mut_in_list_loop_decreases (t : Type0)
+  (ls : hashmap_List_t t) (key : usize) : nat =
   admit ()
 
 (** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: decreases clause *)
 unfold
-let hashmap_hash_map_remove_from_list_loop_decreases (t : Type0) (key : usize)
-  (ls : hashmap_list_t t) : nat =
+let hashmap_HashMap_remove_from_list_loop_decreases (t : Type0) (key : usize)
+  (ls : hashmap_List_t t) : nat =
   admit ()
 
diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.fst b/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.fst
index 699ff3b2..be5a4ab1 100644
--- a/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.fst
+++ b/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.fst
@@ -8,54 +8,54 @@ open HashmapMain.Types
 
 (** [hashmap::HashMap::allocate_slots]: decreases clause *)
 unfold
-let hashmap_hash_map_allocate_slots_loop_decreases (t : Type0) (slots : vec (hashmap_list_t t))
+let hashmap_HashMap_allocate_slots_loop_decreases (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t))
   (n : usize) : nat = n
 
 (** [hashmap::HashMap::clear]: decreases clause *)
 unfold
-let hashmap_hash_map_clear_loop_decreases (t : Type0) (slots : vec (hashmap_list_t t))
+let hashmap_HashMap_clear_loop_decreases (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t))
   (i : usize) : nat =
   if i < length slots then length slots - i else 0
 
 (** [hashmap::HashMap::insert_in_list]: decreases clause *)
 unfold
-let hashmap_hash_map_insert_in_list_loop_decreases (t : Type0) (key : usize) (value : t)
-  (ls : hashmap_list_t t) : hashmap_list_t t =
+let hashmap_HashMap_insert_in_list_loop_decreases (t : Type0) (key : usize) (value : t)
+  (ls : hashmap_List_t t) : hashmap_List_t t =
   ls
 
 (** [hashmap::HashMap::move_elements_from_list]: decreases clause *)
 unfold
-let hashmap_hash_map_move_elements_from_list_loop_decreases (t : Type0)
-  (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) : hashmap_list_t t =
+let hashmap_HashMap_move_elements_from_list_loop_decreases (t : Type0)
+  (ntable : hashmap_HashMap_t t) (ls : hashmap_List_t t) : hashmap_List_t t =
   ls
 
 (** [hashmap::HashMap::move_elements]: decreases clause *)
 unfold
-let hashmap_hash_map_move_elements_loop_decreases (t : Type0) (ntable : hashmap_hash_map_t t)
-  (slots : vec (hashmap_list_t t)) (i : usize) : nat =
+let hashmap_HashMap_move_elements_loop_decreases (t : Type0) (ntable : hashmap_HashMap_t t)
+  (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) : nat =
   if i < length slots then length slots - i else 0
 
 (** [hashmap::HashMap::contains_key_in_list]: decreases clause *)
 unfold
-let hashmap_hash_map_contains_key_in_list_loop_decreases (t : Type0) (key : usize)
-  (ls : hashmap_list_t t) : hashmap_list_t t =
+let hashmap_HashMap_contains_key_in_list_loop_decreases (t : Type0) (key : usize)
+  (ls : hashmap_List_t t) : hashmap_List_t t =
   ls
 
 (** [hashmap::HashMap::get_in_list]: decreases clause *)
 unfold
-let hashmap_hash_map_get_in_list_loop_decreases (t : Type0) (key : usize) (ls : hashmap_list_t t) :
-  hashmap_list_t t =
+let hashmap_HashMap_get_in_list_loop_decreases (t : Type0) (key : usize) (ls : hashmap_List_t t) :
+  hashmap_List_t t =
   ls
 
 (** [hashmap::HashMap::get_mut_in_list]: decreases clause *)
 unfold
-let hashmap_hash_map_get_mut_in_list_loop_decreases (t : Type0)
-  (ls : hashmap_list_t t) (key : usize) : hashmap_list_t t =
+let hashmap_HashMap_get_mut_in_list_loop_decreases (t : Type0)
+  (ls : hashmap_List_t t) (key : usize) : hashmap_List_t t =
   ls
 
 (** [hashmap::HashMap::remove_from_list]: decreases clause *)
 unfold
-let hashmap_hash_map_remove_from_list_loop_decreases (t : Type0) (key : usize)
-  (ls : hashmap_list_t t) : hashmap_list_t t =
+let hashmap_HashMap_remove_from_list_loop_decreases (t : Type0) (key : usize)
+  (ls : hashmap_List_t t) : hashmap_List_t t =
   ls
 
diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst b/tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst
index 1c94209c..5f227596 100644
--- a/tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst
+++ b/tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst
@@ -9,529 +9,528 @@ include HashmapMain.Clauses
 #set-options "--z3rlimit 50 --fuel 1 --ifuel 1"
 
 (** [hashmap_main::hashmap::hash_key]: forward function *)
-let hashmap_hash_key_fwd (k : usize) : result usize =
+let hashmap_hash_key (k : usize) : result usize =
   Return k
 
 (** [hashmap_main::hashmap::HashMap::{0}::allocate_slots]: loop 0: forward function *)
-let rec hashmap_hash_map_allocate_slots_loop_fwd
-  (t : Type0) (slots : vec (hashmap_list_t t)) (n : usize) :
-  Tot (result (vec (hashmap_list_t t)))
-  (decreases (hashmap_hash_map_allocate_slots_loop_decreases t slots n))
+let rec hashmap_HashMap_allocate_slots_loop
+  (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t)) (n : usize) :
+  Tot (result (alloc_vec_Vec (hashmap_List_t t)))
+  (decreases (hashmap_HashMap_allocate_slots_loop_decreases t slots n))
   =
   if n > 0
   then
-    let* slots0 = vec_push_back (hashmap_list_t t) slots HashmapListNil in
+    let* slots0 = alloc_vec_Vec_push (hashmap_List_t t) slots Hashmap_List_Nil
+      in
     let* n0 = usize_sub n 1 in
-    hashmap_hash_map_allocate_slots_loop_fwd t slots0 n0
+    hashmap_HashMap_allocate_slots_loop t slots0 n0
   else Return slots
 
 (** [hashmap_main::hashmap::HashMap::{0}::allocate_slots]: forward function *)
-let hashmap_hash_map_allocate_slots_fwd
-  (t : Type0) (slots : vec (hashmap_list_t t)) (n : usize) :
-  result (vec (hashmap_list_t t))
+let hashmap_HashMap_allocate_slots
+  (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t)) (n : usize) :
+  result (alloc_vec_Vec (hashmap_List_t t))
   =
-  hashmap_hash_map_allocate_slots_loop_fwd t slots n
+  hashmap_HashMap_allocate_slots_loop t slots n
 
 (** [hashmap_main::hashmap::HashMap::{0}::new_with_capacity]: forward function *)
-let hashmap_hash_map_new_with_capacity_fwd
+let hashmap_HashMap_new_with_capacity
   (t : Type0) (capacity : usize) (max_load_dividend : usize)
   (max_load_divisor : usize) :
-  result (hashmap_hash_map_t t)
+  result (hashmap_HashMap_t t)
   =
-  let v = vec_new (hashmap_list_t t) in
-  let* slots = hashmap_hash_map_allocate_slots_fwd t v capacity in
+  let v = alloc_vec_Vec_new (hashmap_List_t t) in
+  let* slots = hashmap_HashMap_allocate_slots t v capacity in
   let* i = usize_mul capacity max_load_dividend in
   let* i0 = usize_div i max_load_divisor in
   Return
     {
-      hashmap_hash_map_num_entries = 0;
-      hashmap_hash_map_max_load_factor = (max_load_dividend, max_load_divisor);
-      hashmap_hash_map_max_load = i0;
-      hashmap_hash_map_slots = slots
+      num_entries = 0;
+      max_load_factor = (max_load_dividend, max_load_divisor);
+      max_load = i0;
+      slots = slots
     }
 
 (** [hashmap_main::hashmap::HashMap::{0}::new]: forward function *)
-let hashmap_hash_map_new_fwd (t : Type0) : result (hashmap_hash_map_t t) =
-  hashmap_hash_map_new_with_capacity_fwd t 32 4 5
+let hashmap_HashMap_new (t : Type0) : result (hashmap_HashMap_t t) =
+  hashmap_HashMap_new_with_capacity t 32 4 5
 
 (** [hashmap_main::hashmap::HashMap::{0}::clear]: loop 0: merged forward/backward function
     (there is a single backward function, and the forward function returns ()) *)
-let rec hashmap_hash_map_clear_loop_fwd_back
-  (t : Type0) (slots : vec (hashmap_list_t t)) (i : usize) :
-  Tot (result (vec (hashmap_list_t t)))
-  (decreases (hashmap_hash_map_clear_loop_decreases t slots i))
+let rec hashmap_HashMap_clear_loop
+  (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) :
+  Tot (result (alloc_vec_Vec (hashmap_List_t t)))
+  (decreases (hashmap_HashMap_clear_loop_decreases t slots i))
   =
-  let i0 = vec_len (hashmap_list_t t) slots in
+  let i0 = alloc_vec_Vec_len (hashmap_List_t t) slots in
   if i < i0
   then
     let* i1 = usize_add i 1 in
-    let* slots0 = vec_index_mut_back (hashmap_list_t t) slots i HashmapListNil
-      in
-    hashmap_hash_map_clear_loop_fwd_back t slots0 i1
+    let* slots0 =
+      alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize
+        (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t
+        t)) slots i Hashmap_List_Nil in
+    hashmap_HashMap_clear_loop t slots0 i1
   else Return slots
 
 (** [hashmap_main::hashmap::HashMap::{0}::clear]: merged forward/backward function
     (there is a single backward function, and the forward function returns ()) *)
-let hashmap_hash_map_clear_fwd_back
-  (t : Type0) (self : hashmap_hash_map_t t) : result (hashmap_hash_map_t t) =
-  let* v = hashmap_hash_map_clear_loop_fwd_back t self.hashmap_hash_map_slots 0
-    in
-  Return
-    { self with hashmap_hash_map_num_entries = 0; hashmap_hash_map_slots = v }
+let hashmap_HashMap_clear
+  (t : Type0) (self : hashmap_HashMap_t t) : result (hashmap_HashMap_t t) =
+  let* v = hashmap_HashMap_clear_loop t self.slots 0 in
+  Return { self with num_entries = 0; slots = v }
 
 (** [hashmap_main::hashmap::HashMap::{0}::len]: forward function *)
-let hashmap_hash_map_len_fwd
-  (t : Type0) (self : hashmap_hash_map_t t) : result usize =
-  Return self.hashmap_hash_map_num_entries
+let hashmap_HashMap_len
+  (t : Type0) (self : hashmap_HashMap_t t) : result usize =
+  Return self.num_entries
 
 (** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: loop 0: forward function *)
-let rec hashmap_hash_map_insert_in_list_loop_fwd
-  (t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) :
+let rec hashmap_HashMap_insert_in_list_loop
+  (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) :
   Tot (result bool)
-  (decreases (hashmap_hash_map_insert_in_list_loop_decreases t key value ls))
+  (decreases (hashmap_HashMap_insert_in_list_loop_decreases t key value ls))
   =
   begin match ls with
-  | HashmapListCons ckey cvalue tl ->
+  | Hashmap_List_Cons ckey cvalue tl ->
     if ckey = key
     then Return false
-    else hashmap_hash_map_insert_in_list_loop_fwd t key value tl
-  | HashmapListNil -> Return true
+    else hashmap_HashMap_insert_in_list_loop t key value tl
+  | Hashmap_List_Nil -> Return true
   end
 
 (** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: forward function *)
-let hashmap_hash_map_insert_in_list_fwd
-  (t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) : result bool =
-  hashmap_hash_map_insert_in_list_loop_fwd t key value ls
+let hashmap_HashMap_insert_in_list
+  (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) : result bool =
+  hashmap_HashMap_insert_in_list_loop t key value ls
 
 (** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: loop 0: backward function 0 *)
-let rec hashmap_hash_map_insert_in_list_loop_back
-  (t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) :
-  Tot (result (hashmap_list_t t))
-  (decreases (hashmap_hash_map_insert_in_list_loop_decreases t key value ls))
+let rec hashmap_HashMap_insert_in_list_loop_back
+  (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) :
+  Tot (result (hashmap_List_t t))
+  (decreases (hashmap_HashMap_insert_in_list_loop_decreases t key value ls))
   =
   begin match ls with
-  | HashmapListCons ckey cvalue tl ->
+  | Hashmap_List_Cons ckey cvalue tl ->
     if ckey = key
-    then Return (HashmapListCons ckey value tl)
+    then Return (Hashmap_List_Cons ckey value tl)
     else
-      let* tl0 = hashmap_hash_map_insert_in_list_loop_back t key value tl in
-      Return (HashmapListCons ckey cvalue tl0)
-  | HashmapListNil ->
-    let l = HashmapListNil in Return (HashmapListCons key value l)
+      let* tl0 = hashmap_HashMap_insert_in_list_loop_back t key value tl in
+      Return (Hashmap_List_Cons ckey cvalue tl0)
+  | Hashmap_List_Nil ->
+    let l = Hashmap_List_Nil in Return (Hashmap_List_Cons key value l)
   end
 
 (** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: backward function 0 *)
-let hashmap_hash_map_insert_in_list_back
-  (t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) :
-  result (hashmap_list_t t)
+let hashmap_HashMap_insert_in_list_back
+  (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) :
+  result (hashmap_List_t t)
   =
-  hashmap_hash_map_insert_in_list_loop_back t key value ls
+  hashmap_HashMap_insert_in_list_loop_back t key value ls
 
 (** [hashmap_main::hashmap::HashMap::{0}::insert_no_resize]: merged forward/backward function
     (there is a single backward function, and the forward function returns ()) *)
-let hashmap_hash_map_insert_no_resize_fwd_back
-  (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (value : t) :
-  result (hashmap_hash_map_t t)
+let hashmap_HashMap_insert_no_resize
+  (t : Type0) (self : hashmap_HashMap_t t) (key : usize) (value : t) :
+  result (hashmap_HashMap_t t)
   =
-  let* hash = hashmap_hash_key_fwd key in
-  let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in
+  let* hash = hashmap_hash_key key in
+  let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in
   let* hash_mod = usize_rem hash i in
   let* l =
-    vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod
-    in
-  let* inserted = hashmap_hash_map_insert_in_list_fwd t key value l in
+    alloc_vec_Vec_index_mut (hashmap_List_t t) usize
+      (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t t))
+      self.slots hash_mod in
+  let* inserted = hashmap_HashMap_insert_in_list t key value l in
   if inserted
   then
-    let* i0 = usize_add self.hashmap_hash_map_num_entries 1 in
-    let* l0 = hashmap_hash_map_insert_in_list_back t key value l in
+    let* i0 = usize_add self.num_entries 1 in
+    let* l0 = hashmap_HashMap_insert_in_list_back t key value l in
     let* v =
-      vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots
-        hash_mod l0 in
-    Return
-      { self with hashmap_hash_map_num_entries = i0; hashmap_hash_map_slots = v
-      }
+      alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize
+        (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t
+        t)) self.slots hash_mod l0 in
+    Return { self with num_entries = i0; slots = v }
   else
-    let* l0 = hashmap_hash_map_insert_in_list_back t key value l in
+    let* l0 = hashmap_HashMap_insert_in_list_back t key value l in
     let* v =
-      vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots
-        hash_mod l0 in
-    Return { self with hashmap_hash_map_slots = v }
-
-(** [core::num::u32::{8}::MAX] *)
-let core_num_u32_max_body : result u32 = Return 4294967295
-let core_num_u32_max_c : u32 = eval_global core_num_u32_max_body
+      alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize
+        (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t
+        t)) self.slots hash_mod l0 in
+    Return { self with slots = v }
 
 (** [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list]: loop 0: merged forward/backward function
     (there is a single backward function, and the forward function returns ()) *)
-let rec hashmap_hash_map_move_elements_from_list_loop_fwd_back
-  (t : Type0) (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) :
-  Tot (result (hashmap_hash_map_t t))
+let rec hashmap_HashMap_move_elements_from_list_loop
+  (t : Type0) (ntable : hashmap_HashMap_t t) (ls : hashmap_List_t t) :
+  Tot (result (hashmap_HashMap_t t))
   (decreases (
-    hashmap_hash_map_move_elements_from_list_loop_decreases t ntable ls))
+    hashmap_HashMap_move_elements_from_list_loop_decreases t ntable ls))
   =
   begin match ls with
-  | HashmapListCons k v tl ->
-    let* ntable0 = hashmap_hash_map_insert_no_resize_fwd_back t ntable k v in
-    hashmap_hash_map_move_elements_from_list_loop_fwd_back t ntable0 tl
-  | HashmapListNil -> Return ntable
+  | Hashmap_List_Cons k v tl ->
+    let* ntable0 = hashmap_HashMap_insert_no_resize t ntable k v in
+    hashmap_HashMap_move_elements_from_list_loop t ntable0 tl
+  | Hashmap_List_Nil -> Return ntable
   end
 
 (** [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list]: merged forward/backward function
     (there is a single backward function, and the forward function returns ()) *)
-let hashmap_hash_map_move_elements_from_list_fwd_back
-  (t : Type0) (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) :
-  result (hashmap_hash_map_t t)
+let hashmap_HashMap_move_elements_from_list
+  (t : Type0) (ntable : hashmap_HashMap_t t) (ls : hashmap_List_t t) :
+  result (hashmap_HashMap_t t)
   =
-  hashmap_hash_map_move_elements_from_list_loop_fwd_back t ntable ls
+  hashmap_HashMap_move_elements_from_list_loop t ntable ls
 
 (** [hashmap_main::hashmap::HashMap::{0}::move_elements]: loop 0: merged forward/backward function
     (there is a single backward function, and the forward function returns ()) *)
-let rec hashmap_hash_map_move_elements_loop_fwd_back
-  (t : Type0) (ntable : hashmap_hash_map_t t) (slots : vec (hashmap_list_t t))
-  (i : usize) :
-  Tot (result ((hashmap_hash_map_t t) & (vec (hashmap_list_t t))))
-  (decreases (hashmap_hash_map_move_elements_loop_decreases t ntable slots i))
+let rec hashmap_HashMap_move_elements_loop
+  (t : Type0) (ntable : hashmap_HashMap_t t)
+  (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) :
+  Tot (result ((hashmap_HashMap_t t) & (alloc_vec_Vec (hashmap_List_t t))))
+  (decreases (hashmap_HashMap_move_elements_loop_decreases t ntable slots i))
   =
-  let i0 = vec_len (hashmap_list_t t) slots in
+  let i0 = alloc_vec_Vec_len (hashmap_List_t t) slots in
   if i < i0
   then
-    let* l = vec_index_mut_fwd (hashmap_list_t t) slots i in
-    let ls = mem_replace_fwd (hashmap_list_t t) l HashmapListNil in
-    let* ntable0 =
-      hashmap_hash_map_move_elements_from_list_fwd_back t ntable ls in
+    let* l =
+      alloc_vec_Vec_index_mut (hashmap_List_t t) usize
+        (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t
+        t)) slots i in
+    let ls = core_mem_replace (hashmap_List_t t) l Hashmap_List_Nil in
+    let* ntable0 = hashmap_HashMap_move_elements_from_list t ntable ls in
     let* i1 = usize_add i 1 in
-    let l0 = mem_replace_back (hashmap_list_t t) l HashmapListNil in
-    let* slots0 = vec_index_mut_back (hashmap_list_t t) slots i l0 in
-    hashmap_hash_map_move_elements_loop_fwd_back t ntable0 slots0 i1
+    let l0 = core_mem_replace_back (hashmap_List_t t) l Hashmap_List_Nil in
+    let* slots0 =
+      alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize
+        (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t
+        t)) slots i l0 in
+    hashmap_HashMap_move_elements_loop t ntable0 slots0 i1
   else Return (ntable, slots)
 
 (** [hashmap_main::hashmap::HashMap::{0}::move_elements]: merged forward/backward function
     (there is a single backward function, and the forward function returns ()) *)
-let hashmap_hash_map_move_elements_fwd_back
-  (t : Type0) (ntable : hashmap_hash_map_t t) (slots : vec (hashmap_list_t t))
-  (i : usize) :
-  result ((hashmap_hash_map_t t) & (vec (hashmap_list_t t)))
+let hashmap_HashMap_move_elements
+  (t : Type0) (ntable : hashmap_HashMap_t t)
+  (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) :
+  result ((hashmap_HashMap_t t) & (alloc_vec_Vec (hashmap_List_t t)))
   =
-  hashmap_hash_map_move_elements_loop_fwd_back t ntable slots i
+  hashmap_HashMap_move_elements_loop t ntable slots i
 
 (** [hashmap_main::hashmap::HashMap::{0}::try_resize]: merged forward/backward function
     (there is a single backward function, and the forward function returns ()) *)
-let hashmap_hash_map_try_resize_fwd_back
-  (t : Type0) (self : hashmap_hash_map_t t) : result (hashmap_hash_map_t t) =
-  let* max_usize = scalar_cast U32 Usize core_num_u32_max_c in
-  let capacity = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in
+let hashmap_HashMap_try_resize
+  (t : Type0) (self : hashmap_HashMap_t t) : result (hashmap_HashMap_t t) =
+  let* max_usize = scalar_cast U32 Usize core_u32_max in
+  let capacity = alloc_vec_Vec_len (hashmap_List_t t) self.slots in
   let* n1 = usize_div max_usize 2 in
-  let (i, i0) = self.hashmap_hash_map_max_load_factor in
+  let (i, i0) = self.max_load_factor in
   let* i1 = usize_div n1 i in
   if capacity <= i1
   then
     let* i2 = usize_mul capacity 2 in
-    let* ntable = hashmap_hash_map_new_with_capacity_fwd t i2 i i0 in
-    let* (ntable0, _) =
-      hashmap_hash_map_move_elements_fwd_back t ntable
-        self.hashmap_hash_map_slots 0 in
+    let* ntable = hashmap_HashMap_new_with_capacity t i2 i i0 in
+    let* (ntable0, _) = hashmap_HashMap_move_elements t ntable self.slots 0 in
     Return
-      {
-        ntable0
-          with
-          hashmap_hash_map_num_entries = self.hashmap_hash_map_num_entries;
-          hashmap_hash_map_max_load_factor = (i, i0)
+      { ntable0 with num_entries = self.num_entries; max_load_factor = (i, i0)
       }
-  else Return { self with hashmap_hash_map_max_load_factor = (i, i0) }
+  else Return { self with max_load_factor = (i, i0) }
 
 (** [hashmap_main::hashmap::HashMap::{0}::insert]: merged forward/backward function
     (there is a single backward function, and the forward function returns ()) *)
-let hashmap_hash_map_insert_fwd_back
-  (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (value : t) :
-  result (hashmap_hash_map_t t)
+let hashmap_HashMap_insert
+  (t : Type0) (self : hashmap_HashMap_t t) (key : usize) (value : t) :
+  result (hashmap_HashMap_t t)
   =
-  let* self0 = hashmap_hash_map_insert_no_resize_fwd_back t self key value in
-  let* i = hashmap_hash_map_len_fwd t self0 in
-  if i > self0.hashmap_hash_map_max_load
-  then hashmap_hash_map_try_resize_fwd_back t self0
+  let* self0 = hashmap_HashMap_insert_no_resize t self key value in
+  let* i = hashmap_HashMap_len t self0 in
+  if i > self0.max_load
+  then hashmap_HashMap_try_resize t self0
   else Return self0
 
 (** [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list]: loop 0: forward function *)
-let rec hashmap_hash_map_contains_key_in_list_loop_fwd
-  (t : Type0) (key : usize) (ls : hashmap_list_t t) :
+let rec hashmap_HashMap_contains_key_in_list_loop
+  (t : Type0) (key : usize) (ls : hashmap_List_t t) :
   Tot (result bool)
-  (decreases (hashmap_hash_map_contains_key_in_list_loop_decreases t key ls))
+  (decreases (hashmap_HashMap_contains_key_in_list_loop_decreases t key ls))
   =
   begin match ls with
-  | HashmapListCons ckey x tl ->
+  | Hashmap_List_Cons ckey x tl ->
     if ckey = key
     then Return true
-    else hashmap_hash_map_contains_key_in_list_loop_fwd t key tl
-  | HashmapListNil -> Return false
+    else hashmap_HashMap_contains_key_in_list_loop t key tl
+  | Hashmap_List_Nil -> Return false
   end
 
 (** [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list]: forward function *)
-let hashmap_hash_map_contains_key_in_list_fwd
-  (t : Type0) (key : usize) (ls : hashmap_list_t t) : result bool =
-  hashmap_hash_map_contains_key_in_list_loop_fwd t key ls
+let hashmap_HashMap_contains_key_in_list
+  (t : Type0) (key : usize) (ls : hashmap_List_t t) : result bool =
+  hashmap_HashMap_contains_key_in_list_loop t key ls
 
 (** [hashmap_main::hashmap::HashMap::{0}::contains_key]: forward function *)
-let hashmap_hash_map_contains_key_fwd
-  (t : Type0) (self : hashmap_hash_map_t t) (key : usize) : result bool =
-  let* hash = hashmap_hash_key_fwd key in
-  let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in
+let hashmap_HashMap_contains_key
+  (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : result bool =
+  let* hash = hashmap_hash_key key in
+  let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in
   let* hash_mod = usize_rem hash i in
   let* l =
-    vec_index_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod in
-  hashmap_hash_map_contains_key_in_list_fwd t key l
+    alloc_vec_Vec_index (hashmap_List_t t) usize
+      (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t t))
+      self.slots hash_mod in
+  hashmap_HashMap_contains_key_in_list t key l
 
 (** [hashmap_main::hashmap::HashMap::{0}::get_in_list]: loop 0: forward function *)
-let rec hashmap_hash_map_get_in_list_loop_fwd
-  (t : Type0) (key : usize) (ls : hashmap_list_t t) :
+let rec hashmap_HashMap_get_in_list_loop
+  (t : Type0) (key : usize) (ls : hashmap_List_t t) :
   Tot (result t)
-  (decreases (hashmap_hash_map_get_in_list_loop_decreases t key ls))
+  (decreases (hashmap_HashMap_get_in_list_loop_decreases t key ls))
   =
   begin match ls with
-  | HashmapListCons ckey cvalue tl ->
+  | Hashmap_List_Cons ckey cvalue tl ->
     if ckey = key
     then Return cvalue
-    else hashmap_hash_map_get_in_list_loop_fwd t key tl
-  | HashmapListNil -> Fail Failure
+    else hashmap_HashMap_get_in_list_loop t key tl
+  | Hashmap_List_Nil -> Fail Failure
   end
 
 (** [hashmap_main::hashmap::HashMap::{0}::get_in_list]: forward function *)
-let hashmap_hash_map_get_in_list_fwd
-  (t : Type0) (key : usize) (ls : hashmap_list_t t) : result t =
-  hashmap_hash_map_get_in_list_loop_fwd t key ls
+let hashmap_HashMap_get_in_list
+  (t : Type0) (key : usize) (ls : hashmap_List_t t) : result t =
+  hashmap_HashMap_get_in_list_loop t key ls
 
 (** [hashmap_main::hashmap::HashMap::{0}::get]: forward function *)
-let hashmap_hash_map_get_fwd
-  (t : Type0) (self : hashmap_hash_map_t t) (key : usize) : result t =
-  let* hash = hashmap_hash_key_fwd key in
-  let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in
+let hashmap_HashMap_get
+  (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : result t =
+  let* hash = hashmap_hash_key key in
+  let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in
   let* hash_mod = usize_rem hash i in
   let* l =
-    vec_index_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod in
-  hashmap_hash_map_get_in_list_fwd t key l
+    alloc_vec_Vec_index (hashmap_List_t t) usize
+      (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t t))
+      self.slots hash_mod in
+  hashmap_HashMap_get_in_list t key l
 
 (** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: loop 0: forward function *)
-let rec hashmap_hash_map_get_mut_in_list_loop_fwd
-  (t : Type0) (ls : hashmap_list_t t) (key : usize) :
+let rec hashmap_HashMap_get_mut_in_list_loop
+  (t : Type0) (ls : hashmap_List_t t) (key : usize) :
   Tot (result t)
-  (decreases (hashmap_hash_map_get_mut_in_list_loop_decreases t ls key))
+  (decreases (hashmap_HashMap_get_mut_in_list_loop_decreases t ls key))
   =
   begin match ls with
-  | HashmapListCons ckey cvalue tl ->
+  | Hashmap_List_Cons ckey cvalue tl ->
     if ckey = key
     then Return cvalue
-    else hashmap_hash_map_get_mut_in_list_loop_fwd t tl key
-  | HashmapListNil -> Fail Failure
+    else hashmap_HashMap_get_mut_in_list_loop t tl key
+  | Hashmap_List_Nil -> Fail Failure
   end
 
 (** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: forward function *)
-let hashmap_hash_map_get_mut_in_list_fwd
-  (t : Type0) (ls : hashmap_list_t t) (key : usize) : result t =
-  hashmap_hash_map_get_mut_in_list_loop_fwd t ls key
+let hashmap_HashMap_get_mut_in_list
+  (t : Type0) (ls : hashmap_List_t t) (key : usize) : result t =
+  hashmap_HashMap_get_mut_in_list_loop t ls key
 
 (** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: loop 0: backward function 0 *)
-let rec hashmap_hash_map_get_mut_in_list_loop_back
-  (t : Type0) (ls : hashmap_list_t t) (key : usize) (ret : t) :
-  Tot (result (hashmap_list_t t))
-  (decreases (hashmap_hash_map_get_mut_in_list_loop_decreases t ls key))
+let rec hashmap_HashMap_get_mut_in_list_loop_back
+  (t : Type0) (ls : hashmap_List_t t) (key : usize) (ret : t) :
+  Tot (result (hashmap_List_t t))
+  (decreases (hashmap_HashMap_get_mut_in_list_loop_decreases t ls key))
   =
   begin match ls with
-  | HashmapListCons ckey cvalue tl ->
+  | Hashmap_List_Cons ckey cvalue tl ->
     if ckey = key
-    then Return (HashmapListCons ckey ret tl)
+    then Return (Hashmap_List_Cons ckey ret tl)
     else
-      let* tl0 = hashmap_hash_map_get_mut_in_list_loop_back t tl key ret in
-      Return (HashmapListCons ckey cvalue tl0)
-  | HashmapListNil -> Fail Failure
+      let* tl0 = hashmap_HashMap_get_mut_in_list_loop_back t tl key ret in
+      Return (Hashmap_List_Cons ckey cvalue tl0)
+  | Hashmap_List_Nil -> Fail Failure
   end
 
 (** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: backward function 0 *)
-let hashmap_hash_map_get_mut_in_list_back
-  (t : Type0) (ls : hashmap_list_t t) (key : usize) (ret : t) :
-  result (hashmap_list_t t)
+let hashmap_HashMap_get_mut_in_list_back
+  (t : Type0) (ls : hashmap_List_t t) (key : usize) (ret : t) :
+  result (hashmap_List_t t)
   =
-  hashmap_hash_map_get_mut_in_list_loop_back t ls key ret
+  hashmap_HashMap_get_mut_in_list_loop_back t ls key ret
 
 (** [hashmap_main::hashmap::HashMap::{0}::get_mut]: forward function *)
-let hashmap_hash_map_get_mut_fwd
-  (t : Type0) (self : hashmap_hash_map_t t) (key : usize) : result t =
-  let* hash = hashmap_hash_key_fwd key in
-  let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in
+let hashmap_HashMap_get_mut
+  (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : result t =
+  let* hash = hashmap_hash_key key in
+  let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in
   let* hash_mod = usize_rem hash i in
   let* l =
-    vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod
-    in
-  hashmap_hash_map_get_mut_in_list_fwd t l key
+    alloc_vec_Vec_index_mut (hashmap_List_t t) usize
+      (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t t))
+      self.slots hash_mod in
+  hashmap_HashMap_get_mut_in_list t l key
 
 (** [hashmap_main::hashmap::HashMap::{0}::get_mut]: backward function 0 *)
-let hashmap_hash_map_get_mut_back
-  (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (ret : t) :
-  result (hashmap_hash_map_t t)
+let hashmap_HashMap_get_mut_back
+  (t : Type0) (self : hashmap_HashMap_t t) (key : usize) (ret : t) :
+  result (hashmap_HashMap_t t)
   =
-  let* hash = hashmap_hash_key_fwd key in
-  let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in
+  let* hash = hashmap_hash_key key in
+  let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in
   let* hash_mod = usize_rem hash i in
   let* l =
-    vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod
-    in
-  let* l0 = hashmap_hash_map_get_mut_in_list_back t l key ret in
+    alloc_vec_Vec_index_mut (hashmap_List_t t) usize
+      (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t t))
+      self.slots hash_mod in
+  let* l0 = hashmap_HashMap_get_mut_in_list_back t l key ret in
   let* v =
-    vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod
-      l0 in
-  Return { self with hashmap_hash_map_slots = v }
+    alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize
+      (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t t))
+      self.slots hash_mod l0 in
+  Return { self with slots = v }
 
 (** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: loop 0: forward function *)
-let rec hashmap_hash_map_remove_from_list_loop_fwd
-  (t : Type0) (key : usize) (ls : hashmap_list_t t) :
+let rec hashmap_HashMap_remove_from_list_loop
+  (t : Type0) (key : usize) (ls : hashmap_List_t t) :
   Tot (result (option t))
-  (decreases (hashmap_hash_map_remove_from_list_loop_decreases t key ls))
+  (decreases (hashmap_HashMap_remove_from_list_loop_decreases t key ls))
   =
   begin match ls with
-  | HashmapListCons ckey x tl ->
+  | Hashmap_List_Cons ckey x tl ->
     if ckey = key
     then
       let mv_ls =
-        mem_replace_fwd (hashmap_list_t t) (HashmapListCons ckey x tl)
-          HashmapListNil in
+        core_mem_replace (hashmap_List_t t) (Hashmap_List_Cons ckey x tl)
+          Hashmap_List_Nil in
       begin match mv_ls with
-      | HashmapListCons i cvalue tl0 -> Return (Some cvalue)
-      | HashmapListNil -> Fail Failure
+      | Hashmap_List_Cons i cvalue tl0 -> Return (Some cvalue)
+      | Hashmap_List_Nil -> Fail Failure
       end
-    else hashmap_hash_map_remove_from_list_loop_fwd t key tl
-  | HashmapListNil -> Return None
+    else hashmap_HashMap_remove_from_list_loop t key tl
+  | Hashmap_List_Nil -> Return None
   end
 
 (** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: forward function *)
-let hashmap_hash_map_remove_from_list_fwd
-  (t : Type0) (key : usize) (ls : hashmap_list_t t) : result (option t) =
-  hashmap_hash_map_remove_from_list_loop_fwd t key ls
+let hashmap_HashMap_remove_from_list
+  (t : Type0) (key : usize) (ls : hashmap_List_t t) : result (option t) =
+  hashmap_HashMap_remove_from_list_loop t key ls
 
 (** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: loop 0: backward function 1 *)
-let rec hashmap_hash_map_remove_from_list_loop_back
-  (t : Type0) (key : usize) (ls : hashmap_list_t t) :
-  Tot (result (hashmap_list_t t))
-  (decreases (hashmap_hash_map_remove_from_list_loop_decreases t key ls))
+let rec hashmap_HashMap_remove_from_list_loop_back
+  (t : Type0) (key : usize) (ls : hashmap_List_t t) :
+  Tot (result (hashmap_List_t t))
+  (decreases (hashmap_HashMap_remove_from_list_loop_decreases t key ls))
   =
   begin match ls with
-  | HashmapListCons ckey x tl ->
+  | Hashmap_List_Cons ckey x tl ->
     if ckey = key
     then
       let mv_ls =
-        mem_replace_fwd (hashmap_list_t t) (HashmapListCons ckey x tl)
-          HashmapListNil in
+        core_mem_replace (hashmap_List_t t) (Hashmap_List_Cons ckey x tl)
+          Hashmap_List_Nil in
       begin match mv_ls with
-      | HashmapListCons i cvalue tl0 -> Return tl0
-      | HashmapListNil -> Fail Failure
+      | Hashmap_List_Cons i cvalue tl0 -> Return tl0
+      | Hashmap_List_Nil -> Fail Failure
       end
     else
-      let* tl0 = hashmap_hash_map_remove_from_list_loop_back t key tl in
-      Return (HashmapListCons ckey x tl0)
-  | HashmapListNil -> Return HashmapListNil
+      let* tl0 = hashmap_HashMap_remove_from_list_loop_back t key tl in
+      Return (Hashmap_List_Cons ckey x tl0)
+  | Hashmap_List_Nil -> Return Hashmap_List_Nil
   end
 
 (** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: backward function 1 *)
-let hashmap_hash_map_remove_from_list_back
-  (t : Type0) (key : usize) (ls : hashmap_list_t t) :
-  result (hashmap_list_t t)
+let hashmap_HashMap_remove_from_list_back
+  (t : Type0) (key : usize) (ls : hashmap_List_t t) :
+  result (hashmap_List_t t)
   =
-  hashmap_hash_map_remove_from_list_loop_back t key ls
+  hashmap_HashMap_remove_from_list_loop_back t key ls
 
 (** [hashmap_main::hashmap::HashMap::{0}::remove]: forward function *)
-let hashmap_hash_map_remove_fwd
-  (t : Type0) (self : hashmap_hash_map_t t) (key : usize) : result (option t) =
-  let* hash = hashmap_hash_key_fwd key in
-  let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in
+let hashmap_HashMap_remove
+  (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : result (option t) =
+  let* hash = hashmap_hash_key key in
+  let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in
   let* hash_mod = usize_rem hash i in
   let* l =
-    vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod
-    in
-  let* x = hashmap_hash_map_remove_from_list_fwd t key l in
+    alloc_vec_Vec_index_mut (hashmap_List_t t) usize
+      (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t t))
+      self.slots hash_mod in
+  let* x = hashmap_HashMap_remove_from_list t key l in
   begin match x with
   | None -> Return None
-  | Some x0 ->
-    let* _ = usize_sub self.hashmap_hash_map_num_entries 1 in Return (Some x0)
+  | Some x0 -> let* _ = usize_sub self.num_entries 1 in Return (Some x0)
   end
 
 (** [hashmap_main::hashmap::HashMap::{0}::remove]: backward function 0 *)
-let hashmap_hash_map_remove_back
-  (t : Type0) (self : hashmap_hash_map_t t) (key : usize) :
-  result (hashmap_hash_map_t t)
+let hashmap_HashMap_remove_back
+  (t : Type0) (self : hashmap_HashMap_t t) (key : usize) :
+  result (hashmap_HashMap_t t)
   =
-  let* hash = hashmap_hash_key_fwd key in
-  let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in
+  let* hash = hashmap_hash_key key in
+  let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in
   let* hash_mod = usize_rem hash i in
   let* l =
-    vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod
-    in
-  let* x = hashmap_hash_map_remove_from_list_fwd t key l in
+    alloc_vec_Vec_index_mut (hashmap_List_t t) usize
+      (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t t))
+      self.slots hash_mod in
+  let* x = hashmap_HashMap_remove_from_list t key l in
   begin match x with
   | None ->
-    let* l0 = hashmap_hash_map_remove_from_list_back t key l in
+    let* l0 = hashmap_HashMap_remove_from_list_back t key l in
     let* v =
-      vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots
-        hash_mod l0 in
-    Return { self with hashmap_hash_map_slots = v }
+      alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize
+        (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t
+        t)) self.slots hash_mod l0 in
+    Return { self with slots = v }
   | Some x0 ->
-    let* i0 = usize_sub self.hashmap_hash_map_num_entries 1 in
-    let* l0 = hashmap_hash_map_remove_from_list_back t key l in
+    let* i0 = usize_sub self.num_entries 1 in
+    let* l0 = hashmap_HashMap_remove_from_list_back t key l in
     let* v =
-      vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots
-        hash_mod l0 in
-    Return
-      { self with hashmap_hash_map_num_entries = i0; hashmap_hash_map_slots = v
-      }
+      alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize
+        (core_slice_index_usize_coresliceindexSliceIndexInst (hashmap_List_t
+        t)) self.slots hash_mod l0 in
+    Return { self with num_entries = i0; slots = v }
   end
 
 (** [hashmap_main::hashmap::test1]: forward function *)
-let hashmap_test1_fwd : result unit =
-  let* hm = hashmap_hash_map_new_fwd u64 in
-  let* hm0 = hashmap_hash_map_insert_fwd_back u64 hm 0 42 in
-  let* hm1 = hashmap_hash_map_insert_fwd_back u64 hm0 128 18 in
-  let* hm2 = hashmap_hash_map_insert_fwd_back u64 hm1 1024 138 in
-  let* hm3 = hashmap_hash_map_insert_fwd_back u64 hm2 1056 256 in
-  let* i = hashmap_hash_map_get_fwd u64 hm3 128 in
+let hashmap_test1 : result unit =
+  let* hm = hashmap_HashMap_new u64 in
+  let* hm0 = hashmap_HashMap_insert u64 hm 0 42 in
+  let* hm1 = hashmap_HashMap_insert u64 hm0 128 18 in
+  let* hm2 = hashmap_HashMap_insert u64 hm1 1024 138 in
+  let* hm3 = hashmap_HashMap_insert u64 hm2 1056 256 in
+  let* i = hashmap_HashMap_get u64 hm3 128 in
   if not (i = 18)
   then Fail Failure
   else
-    let* hm4 = hashmap_hash_map_get_mut_back u64 hm3 1024 56 in
-    let* i0 = hashmap_hash_map_get_fwd u64 hm4 1024 in
+    let* hm4 = hashmap_HashMap_get_mut_back u64 hm3 1024 56 in
+    let* i0 = hashmap_HashMap_get u64 hm4 1024 in
     if not (i0 = 56)
     then Fail Failure
     else
-      let* x = hashmap_hash_map_remove_fwd u64 hm4 1024 in
+      let* x = hashmap_HashMap_remove u64 hm4 1024 in
       begin match x with
       | None -> Fail Failure
       | Some x0 ->
         if not (x0 = 56)
         then Fail Failure
         else
-          let* hm5 = hashmap_hash_map_remove_back u64 hm4 1024 in
-          let* i1 = hashmap_hash_map_get_fwd u64 hm5 0 in
+          let* hm5 = hashmap_HashMap_remove_back u64 hm4 1024 in
+          let* i1 = hashmap_HashMap_get u64 hm5 0 in
           if not (i1 = 42)
           then Fail Failure
           else
-            let* i2 = hashmap_hash_map_get_fwd u64 hm5 128 in
+            let* i2 = hashmap_HashMap_get u64 hm5 128 in
             if not (i2 = 18)
             then Fail Failure
             else
-              let* i3 = hashmap_hash_map_get_fwd u64 hm5 1056 in
+              let* i3 = hashmap_HashMap_get u64 hm5 1056 in
               if not (i3 = 256) then Fail Failure else Return ()
       end
 
-(** Unit test for [hashmap_main::hashmap::test1] *)
-let _ = assert_norm (hashmap_test1_fwd = Return ())
-
 (** [hashmap_main::insert_on_disk]: forward function *)
-let insert_on_disk_fwd
+let insert_on_disk
   (key : usize) (value : u64) (st : state) : result (state & unit) =
-  let* (st0, hm) = hashmap_utils_deserialize_fwd st in
-  let* hm0 = hashmap_hash_map_insert_fwd_back u64 hm key value in
-  let* (st1, _) = hashmap_utils_serialize_fwd hm0 st0 in
+  let* (st0, hm) = hashmap_utils_deserialize st in
+  let* hm0 = hashmap_HashMap_insert u64 hm key value in
+  let* (st1, _) = hashmap_utils_serialize hm0 st0 in
   Return (st1, ())
 
 (** [hashmap_main::main]: forward function *)
-let main_fwd : result unit =
+let main : result unit =
   Return ()
 
-(** Unit test for [hashmap_main::main] *)
-let _ = assert_norm (main_fwd = Return ())
-
diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Opaque.fsti b/tests/fstar/hashmap_on_disk/HashmapMain.Opaque.fsti
index 78a6c3ba..d6cecf36 100644
--- a/tests/fstar/hashmap_on_disk/HashmapMain.Opaque.fsti
+++ b/tests/fstar/hashmap_on_disk/HashmapMain.Opaque.fsti
@@ -7,10 +7,10 @@ include HashmapMain.Types
 #set-options "--z3rlimit 50 --fuel 1 --ifuel 1"
 
 (** [hashmap_main::hashmap_utils::deserialize]: forward function *)
-val hashmap_utils_deserialize_fwd
-  : state -> result (state & (hashmap_hash_map_t u64))
+val hashmap_utils_deserialize
+  : state -> result (state & (hashmap_HashMap_t u64))
 
 (** [hashmap_main::hashmap_utils::serialize]: forward function *)
-val hashmap_utils_serialize_fwd
-  : hashmap_hash_map_t u64 -> state -> result (state & unit)
+val hashmap_utils_serialize
+  : hashmap_HashMap_t u64 -> state -> result (state & unit)
 
diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Properties.fst b/tests/fstar/hashmap_on_disk/HashmapMain.Properties.fst
index 106fe05a..358df29e 100644
--- a/tests/fstar/hashmap_on_disk/HashmapMain.Properties.fst
+++ b/tests/fstar/hashmap_on_disk/HashmapMain.Properties.fst
@@ -13,36 +13,36 @@ open HashmapMain.Funs
 
 /// [state_v] gives us the hash map currently stored on disk
 assume
-val state_v : state -> hashmap_hash_map_t u64
+val state_v : state -> hashmap_HashMap_t u64
 
 /// [serialize] updates the hash map stored on disk
 assume
-val serialize_lem (hm : hashmap_hash_map_t u64) (st : state) : Lemma (
-  match hashmap_utils_serialize_fwd hm st with
+val serialize_lem (hm : hashmap_HashMap_t u64) (st : state) : Lemma (
+  match hashmap_utils_serialize hm st with
   | Fail _ -> True
   | Return (st', ()) -> state_v st' == hm)
-  [SMTPat (hashmap_utils_serialize_fwd hm st)]
+  [SMTPat (hashmap_utils_serialize hm st)]
 
 /// [deserialize] gives us the hash map stored on disk, without updating it
 assume
 val deserialize_lem (st : state) : Lemma (
-  match hashmap_utils_deserialize_fwd st with
+  match hashmap_utils_deserialize st with
   | Fail _ -> True
   | Return (st', hm) -> hm == state_v st /\ st' == st)
-  [SMTPat (hashmap_utils_deserialize_fwd st)]
+  [SMTPat (hashmap_utils_deserialize st)]
 
 (*** Lemmas *)
 
 /// The obvious lemma about [insert_on_disk]: the updated hash map stored on disk
 /// is exactly the hash map produced from inserting the binding ([key], [value])
 /// in the hash map previously stored on disk.
-val insert_on_disk_fwd_lem (key : usize) (value : u64) (st : state) : Lemma (
-  match insert_on_disk_fwd key value st with
+val insert_on_disk_lem (key : usize) (value : u64) (st : state) : Lemma (
+  match insert_on_disk key value st with
   | Fail _ -> True
   | Return (st', ()) ->
     let hm = state_v st in
-    match hashmap_hash_map_insert_fwd_back u64 hm key value with
+    match hashmap_HashMap_insert u64 hm key value with
     | Fail _ -> False
     | Return hm' -> hm' == state_v st')
 
-let insert_on_disk_fwd_lem key value st = ()
+let insert_on_disk_lem key value st = ()
diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Types.fsti b/tests/fstar/hashmap_on_disk/HashmapMain.Types.fsti
index e289174b..24b78c2a 100644
--- a/tests/fstar/hashmap_on_disk/HashmapMain.Types.fsti
+++ b/tests/fstar/hashmap_on_disk/HashmapMain.Types.fsti
@@ -6,17 +6,17 @@ open Primitives
 #set-options "--z3rlimit 50 --fuel 1 --ifuel 1"
 
 (** [hashmap_main::hashmap::List] *)
-type hashmap_list_t (t : Type0) =
-| HashmapListCons : usize -> t -> hashmap_list_t t -> hashmap_list_t t
-| HashmapListNil : hashmap_list_t t
+type hashmap_List_t (t : Type0) =
+| Hashmap_List_Cons : usize -> t -> hashmap_List_t t -> hashmap_List_t t
+| Hashmap_List_Nil : hashmap_List_t t
 
 (** [hashmap_main::hashmap::HashMap] *)
-type hashmap_hash_map_t (t : Type0) =
+type hashmap_HashMap_t (t : Type0) =
 {
-  hashmap_hash_map_num_entries : usize;
-  hashmap_hash_map_max_load_factor : (usize & usize);
-  hashmap_hash_map_max_load : usize;
-  hashmap_hash_map_slots : vec (hashmap_list_t t);
+  num_entries : usize;
+  max_load_factor : (usize & usize);
+  max_load : usize;
+  slots : alloc_vec_Vec (hashmap_List_t t);
 }
 
 (** The state type used in the state-error monad *)
diff --git a/tests/fstar/hashmap_on_disk/Primitives.fst b/tests/fstar/hashmap_on_disk/Primitives.fst
index 9db82069..3297803c 100644
--- a/tests/fstar/hashmap_on_disk/Primitives.fst
+++ b/tests/fstar/hashmap_on_disk/Primitives.fst
@@ -55,8 +55,12 @@ type string = string
 let is_zero (n: nat) : bool = n = 0
 let decrease (n: nat{n > 0}) : nat = n - 1
 
-let mem_replace_fwd (a : Type0) (x : a) (y : a) : a = x
-let mem_replace_back (a : Type0) (x : a) (y : a) : a = y
+let core_mem_replace (a : Type0) (x : a) (y : a) : a = x
+let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y
+
+// We don't really use raw pointers for now
+type mut_raw_ptr (t : Type0) = { v : t }
+type const_raw_ptr (t : Type0) = { v : t }
 
 (*** Scalars *)
 /// Rem.: most of the following code was partially generated
@@ -100,6 +104,11 @@ type scalar_ty =
 | U64
 | U128
 
+let is_unsigned = function
+  | Isize | I8 | I16 | I32 | I64 | I128 -> false
+  | Usize | U8 | U16 | U32 | U64 | U128 -> true
+
+
 let scalar_min (ty : scalar_ty) : int =
   match ty with
   | Isize -> isize_min
@@ -162,6 +171,15 @@ let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scala
 let scalar_mul (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) =
   mk_scalar ty (x * y)
 
+let scalar_lxor (#ty : scalar_ty { is_unsigned ty && ty <> Usize })
+    (x : scalar ty) (y : scalar ty) : scalar ty =
+  match ty with
+  | U8 -> FStar.UInt.logxor #8 x y
+  | U16 -> FStar.UInt.logxor #16 x y
+  | U32 -> FStar.UInt.logxor #32 x y
+  | U64 -> FStar.UInt.logxor #64 x y
+  | U128 -> FStar.UInt.logxor #128 x y
+
 (** Cast an integer from a [src_ty] to a [tgt_ty] *)
 // TODO: check the semantics of casts in Rust
 let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) =
@@ -169,17 +187,44 @@ let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) :
 
 /// The scalar types
 type isize : eqtype = scalar Isize
-type i8 : eqtype = scalar I8
-type i16 : eqtype = scalar I16
-type i32 : eqtype = scalar I32
-type i64 : eqtype = scalar I64
-type i128 : eqtype = scalar I128
+type i8    : eqtype = scalar I8
+type i16   : eqtype = scalar I16
+type i32   : eqtype = scalar I32
+type i64   : eqtype = scalar I64
+type i128  : eqtype = scalar I128
 type usize : eqtype = scalar Usize
-type u8 : eqtype = scalar U8
-type u16 : eqtype = scalar U16
-type u32 : eqtype = scalar U32
-type u64 : eqtype = scalar U64
-type u128 : eqtype = scalar U128
+type u8    : eqtype = scalar U8
+type u16   : eqtype = scalar U16
+type u32   : eqtype = scalar U32
+type u64   : eqtype = scalar U64
+type u128  : eqtype = scalar U128
+
+
+let core_isize_min : isize = isize_min
+let core_isize_max : isize = isize_max
+let core_i8_min    : i8 = i8_min
+let core_i8_max    : i8 = i8_max
+let core_i16_min   : i16 = i16_min
+let core_i16_max   : i16 = i16_max
+let core_i32_min   : i32 = i32_min
+let core_i32_max   : i32 = i32_max
+let core_i64_min   : i64 = i64_min
+let core_i64_max   : i64 = i64_max
+let core_i128_min  : i128 = i128_min
+let core_i128_max  : i128 = i128_max
+
+let core_usize_min : usize = usize_min
+let core_usize_max : usize = usize_max
+let core_u8_min    : u8 = u8_min
+let core_u8_max    : u8 = u8_max
+let core_u16_min   : u16 = u16_min
+let core_u16_max   : u16 = u16_max
+let core_u32_min   : u32 = u32_min
+let core_u32_max   : u32 = u32_max
+let core_u64_min   : u64 = u64_min
+let core_u64_max   : u64 = u64_max
+let core_u128_min  : u128 = u128_min
+let core_u128_max  : u128 = u128_max
 
 /// Negation
 let isize_neg = scalar_neg #Isize
@@ -231,7 +276,7 @@ let u32_add = scalar_add #U32
 let u64_add = scalar_add #U64
 let u128_add = scalar_add #U128
 
-/// Substraction
+/// Subtraction
 let isize_sub = scalar_sub #Isize
 let i8_sub = scalar_sub #I8
 let i16_sub = scalar_sub #I16
@@ -259,12 +304,65 @@ let u32_mul = scalar_mul #U32
 let u64_mul = scalar_mul #U64
 let u128_mul = scalar_mul #U128
 
-(*** Range *)
-type range (a : Type0) = {
+/// Logical operators, defined for unsigned types only, so far
+let u8_xor = scalar_lxor #U8
+let u16_xor = scalar_lxor #U16
+let u32_xor = scalar_lxor #U32
+let u64_xor = scalar_lxor #U64
+let u128_xor = scalar_lxor #U128
+
+(*** core::ops *)
+
+// Trait declaration: [core::ops::index::Index]
+noeq type core_ops_index_Index (self idx : Type0) = {
+  output : Type0;
+  index : self → idx → result output
+}
+
+// Trait declaration: [core::ops::index::IndexMut]
+noeq type core_ops_index_IndexMut (self idx : Type0) = {
+  indexInst : core_ops_index_Index self idx;
+  index_mut : self → idx → result indexInst.output;
+  index_mut_back : self → idx → indexInst.output → result self;
+}
+
+// Trait declaration [core::ops::deref::Deref]
+noeq type core_ops_deref_Deref (self : Type0) = {
+  target : Type0;
+  deref : self → result target;
+}
+
+// Trait declaration [core::ops::deref::DerefMut]
+noeq type core_ops_deref_DerefMut (self : Type0) = {
+  derefInst : core_ops_deref_Deref self;
+  deref_mut : self → result derefInst.target;
+  deref_mut_back : self → derefInst.target → result self;
+}
+
+type core_ops_range_Range (a : Type0) = {
   start : a;
   end_ : a;
 }
 
+(*** [alloc] *)
+
+let alloc_boxed_Box_deref (t : Type0) (x : t) : result t = Return x
+let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x
+let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return x
+
+// Trait instance
+let alloc_boxed_Box_coreOpsDerefInst (self : Type0) : core_ops_deref_Deref self = {
+  target = self;
+  deref = alloc_boxed_Box_deref self;
+}
+
+// Trait instance
+let alloc_boxed_Box_coreOpsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = {
+  derefInst = alloc_boxed_Box_coreOpsDerefInst self;
+  deref_mut = alloc_boxed_Box_deref_mut self;
+  deref_mut_back = alloc_boxed_Box_deref_mut_back self;
+}
+
 (*** Array *)
 type array (a : Type0) (n : usize) = s:list a{length s = n}
 
@@ -278,15 +376,11 @@ let mk_array (a : Type0) (n : usize)
   normalize_term_spec (FStar.List.Tot.length l);
   l
 
-let array_index_shared (a : Type0) (n : usize) (x : array a n) (i : usize) : result a =
-  if i < length x then Return (index x i)
-  else Fail Failure
-
-let array_index_mut_fwd (a : Type0) (n : usize) (x : array a n) (i : usize) : result a =
+let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : result a =
   if i < length x then Return (index x i)
   else Fail Failure
 
-let array_index_mut_back (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) =
+let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) =
   if i < length x then Return (list_update x i nx)
   else Fail Failure
 
@@ -295,55 +389,54 @@ type slice (a : Type0) = s:list a{length s <= usize_max}
 
 let slice_len (a : Type0) (s : slice a) : usize = length s
 
-let slice_index_shared (a : Type0) (x : slice a) (i : usize) : result a =
+let slice_index_usize (a : Type0) (x : slice a) (i : usize) : result a =
   if i < length x then Return (index x i)
   else Fail Failure
 
-let slice_index_mut_fwd (a : Type0) (x : slice a) (i : usize) : result a =
-  if i < length x then Return (index x i)
-  else Fail Failure
-
-let slice_index_mut_back (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) =
+let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) =
   if i < length x then Return (list_update x i nx)
   else Fail Failure
 
 (*** Subslices *)
 
-let array_to_slice_shared (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x
-let array_to_slice_mut_fwd (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x
-let array_to_slice_mut_back (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) =
+let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x
+let array_from_slice (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) =
   if length s = n then Return s
   else Fail Failure
 
 // TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *)
-let array_subslice_shared (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) =
-  admit()
-
-let array_subslice_mut_fwd (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) =
+let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) =
   admit()
 
-let array_subslice_mut_back (a : Type0) (n : usize) (x : array a n) (r : range usize) (ns : slice a) : result (array a n) =
+let array_update_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) (ns : slice a) : result (array a n) =
   admit()
 
-let slice_subslice_shared (a : Type0) (x : slice a) (r : range usize) : result (slice a) =
+let array_repeat (a : Type0) (n : usize) (x : a) : array a n =
   admit()
 
-let slice_subslice_mut_fwd (a : Type0) (x : slice a) (r : range usize) : result (slice a) =
+let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) =
   admit()
 
-let slice_subslice_mut_back (a : Type0) (x : slice a) (r : range usize) (ns : slice a) : result (slice a) =
+let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) =
   admit()
 
 (*** Vector *)
-type vec (a : Type0) = v:list a{length v <= usize_max}
+type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max}
 
-let vec_new (a  : Type0) : vec a = assert_norm(length #a [] == 0); []
-let vec_len (a : Type0) (v : vec a) : usize = length v
+let alloc_vec_Vec_new (a  : Type0) : alloc_vec_Vec a = assert_norm(length #a [] == 0); []
+let alloc_vec_Vec_len (a : Type0) (v : alloc_vec_Vec a) : usize = length v
+
+// Helper
+let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : result a =
+  if i < length v then Return (index v i) else Fail Failure
+// Helper
+let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) =
+  if i < length v then Return (list_update v i x) else Fail Failure
 
 // The **forward** function shouldn't be used
-let vec_push_fwd (a  : Type0) (v : vec a) (x : a) : unit = ()
-let vec_push_back (a  : Type0) (v : vec a) (x : a) :
-  Pure (result (vec a))
+let alloc_vec_Vec_push_fwd (a  : Type0) (v : alloc_vec_Vec a) (x : a) : unit = ()
+let alloc_vec_Vec_push (a  : Type0) (v : alloc_vec_Vec a) (x : a) :
+  Pure (result (alloc_vec_Vec a))
   (requires True)
   (ensures (fun res ->
     match res with
@@ -358,18 +451,279 @@ let vec_push_back (a  : Type0) (v : vec a) (x : a) :
   else Fail Failure
 
 // The **forward** function shouldn't be used
-let vec_insert_fwd (a : Type0) (v : vec a) (i : usize) (x : a) : result unit =
+let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit =
   if i < length v then Return () else Fail Failure
-let vec_insert_back (a : Type0) (v : vec a) (i : usize) (x : a) : result (vec a) =
+let alloc_vec_Vec_insert (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) =
   if i < length v then Return (list_update v i x) else Fail Failure
 
-// The **backward** function shouldn't be used
-let vec_index_fwd (a : Type0) (v : vec a) (i : usize) : result a =
-  if i < length v then Return (index v i) else Fail Failure
-let vec_index_back (a : Type0) (v : vec a) (i : usize) (x : a) : result unit =
-  if i < length v then Return () else Fail Failure
+// Trait declaration: [core::slice::index::private_slice_index::Sealed]
+type core_slice_index_private_slice_index_Sealed (self : Type0) = unit
+
+// Trait declaration: [core::slice::index::SliceIndex]
+noeq type core_slice_index_SliceIndex (self t : Type0) = {
+  sealedInst : core_slice_index_private_slice_index_Sealed self;
+  output : Type0;
+  get : self → t → result (option output);
+  get_mut : self → t → result (option output);
+  get_mut_back : self → t → option output → result t;
+  get_unchecked : self → const_raw_ptr t → result (const_raw_ptr output);
+  get_unchecked_mut : self → mut_raw_ptr t → result (mut_raw_ptr output);
+  index : self → t → result output;
+  index_mut : self → t → result output;
+  index_mut_back : self → t → output → result t;
+}
 
-let vec_index_mut_fwd (a : Type0) (v : vec a) (i : usize) : result a =
-  if i < length v then Return (index v i) else Fail Failure
-let vec_index_mut_back (a : Type0) (v : vec a) (i : usize) (nx : a) : result (vec a) =
-  if i < length v then Return (list_update v i nx) else Fail Failure
+// [core::slice::index::[T]::index]: forward function
+let core_slice_index_Slice_index
+  (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t))
+  (s : slice t) (i : idx) : result inst.output =
+  let* x = inst.get i s in
+  match x with
+  | None -> Fail Failure
+  | Some x -> Return x
+
+// [core::slice::index::Range:::get]: forward function
+let core_slice_index_Range_get (t : Type0) (i : core_ops_range_Range usize) (s : slice t) :
+  result (option (slice t)) =
+  admit () // TODO
+
+// [core::slice::index::Range::get_mut]: forward function
+let core_slice_index_Range_get_mut
+  (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) =
+  admit () // TODO
+
+// [core::slice::index::Range::get_mut]: backward function 0
+let core_slice_index_Range_get_mut_back
+  (t : Type0) :
+  core_ops_range_Range usize → slice t → option (slice t) → result (slice t) =
+  admit () // TODO
+
+// [core::slice::index::Range::get_unchecked]: forward function
+let core_slice_index_Range_get_unchecked
+  (t : Type0) :
+  core_ops_range_Range usize → const_raw_ptr (slice t) → result (const_raw_ptr (slice t)) =
+  // Don't know what the model should be - for now we always fail to make
+  // sure code which uses it fails
+  fun _ _ -> Fail Failure
+
+// [core::slice::index::Range::get_unchecked_mut]: forward function
+let core_slice_index_Range_get_unchecked_mut
+  (t : Type0) :
+  core_ops_range_Range usize → mut_raw_ptr (slice t) → result (mut_raw_ptr (slice t)) =
+  // Don't know what the model should be - for now we always fail to make
+  // sure code which uses it fails
+  fun _ _ -> Fail Failure
+
+// [core::slice::index::Range::index]: forward function
+let core_slice_index_Range_index
+  (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) =
+  admit () // TODO
+
+// [core::slice::index::Range::index_mut]: forward function
+let core_slice_index_Range_index_mut
+  (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) =
+  admit () // TODO
+
+// [core::slice::index::Range::index_mut]: backward function 0
+let core_slice_index_Range_index_mut_back
+  (t : Type0) : core_ops_range_Range usize → slice t → slice t → result (slice t) =
+  admit () // TODO
+
+// [core::slice::index::[T]::index_mut]: forward function
+let core_slice_index_Slice_index_mut
+  (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) :
+  slice t → idx → result inst.output =
+  admit () // 
+
+// [core::slice::index::[T]::index_mut]: backward function 0
+let core_slice_index_Slice_index_mut_back
+  (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) :
+  slice t → idx → inst.output → result (slice t) =
+  admit () // TODO
+
+// [core::array::[T; N]::index]: forward function
+let core_array_Array_index
+  (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx)
+  (a : array t n) (i : idx) : result inst.output =
+  admit () // TODO
+
+// [core::array::[T; N]::index_mut]: forward function
+let core_array_Array_index_mut
+  (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx)
+  (a : array t n) (i : idx) : result inst.indexInst.output =
+  admit () // TODO
+
+// [core::array::[T; N]::index_mut]: backward function 0
+let core_array_Array_index_mut_back
+  (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx)
+  (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) =
+  admit () // TODO
+
+// Trait implementation: [core::slice::index::[T]]
+let core_slice_index_Slice_coreopsindexIndexInst (t idx : Type0)
+  (inst : core_slice_index_SliceIndex idx (slice t)) :
+  core_ops_index_Index (slice t) idx = {
+  output = inst.output;
+  index = core_slice_index_Slice_index t idx inst;
+}
+
+// Trait implementation: [core::slice::index::private_slice_index::Range]
+let core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst
+  : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = ()
+
+// Trait implementation: [core::slice::index::Range]
+let core_slice_index_Range_coresliceindexSliceIndexInst (t : Type0) :
+  core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = {
+  sealedInst = core_slice_index_private_slice_index_Range_coresliceindexprivate_slice_indexSealedInst;
+  output = slice t;
+  get = core_slice_index_Range_get t;
+  get_mut = core_slice_index_Range_get_mut t;
+  get_mut_back = core_slice_index_Range_get_mut_back t;
+  get_unchecked = core_slice_index_Range_get_unchecked t;
+  get_unchecked_mut = core_slice_index_Range_get_unchecked_mut t;
+  index = core_slice_index_Range_index t;
+  index_mut = core_slice_index_Range_index_mut t;
+  index_mut_back = core_slice_index_Range_index_mut_back t;
+}
+
+// Trait implementation: [core::slice::index::[T]]
+let core_slice_index_Slice_coreopsindexIndexMutInst (t idx : Type0)
+  (inst : core_slice_index_SliceIndex idx (slice t)) :
+  core_ops_index_IndexMut (slice t) idx = {
+  indexInst = core_slice_index_Slice_coreopsindexIndexInst t idx inst;
+  index_mut = core_slice_index_Slice_index_mut t idx inst;
+  index_mut_back = core_slice_index_Slice_index_mut_back t idx inst;
+}
+
+// Trait implementation: [core::array::[T; N]]
+let core_array_Array_coreopsindexIndexInst (t idx : Type0) (n : usize)
+  (inst : core_ops_index_Index (slice t) idx) :
+  core_ops_index_Index (array t n) idx = {
+  output = inst.output;
+  index = core_array_Array_index t idx n inst;
+}
+
+// Trait implementation: [core::array::[T; N]]
+let core_array_Array_coreopsindexIndexMutInst (t idx : Type0) (n : usize)
+  (inst : core_ops_index_IndexMut (slice t) idx) :
+  core_ops_index_IndexMut (array t n) idx = {
+  indexInst = core_array_Array_coreopsindexIndexInst t idx n inst.indexInst;
+  index_mut = core_array_Array_index_mut t idx n inst;
+  index_mut_back = core_array_Array_index_mut_back t idx n inst;
+}
+
+// [core::slice::index::usize::get]: forward function
+let core_slice_index_usize_get
+  (t : Type0) : usize → slice t → result (option t) =
+  admit () // TODO
+
+// [core::slice::index::usize::get_mut]: forward function
+let core_slice_index_usize_get_mut
+  (t : Type0) : usize → slice t → result (option t) =
+  admit () // TODO
+
+// [core::slice::index::usize::get_mut]: backward function 0
+let core_slice_index_usize_get_mut_back
+  (t : Type0) : usize → slice t → option t → result (slice t) =
+  admit () // TODO
+
+// [core::slice::index::usize::get_unchecked]: forward function
+let core_slice_index_usize_get_unchecked
+  (t : Type0) : usize → const_raw_ptr (slice t) → result (const_raw_ptr t) =
+  admit () // TODO
+
+// [core::slice::index::usize::get_unchecked_mut]: forward function
+let core_slice_index_usize_get_unchecked_mut
+  (t : Type0) : usize → mut_raw_ptr (slice t) → result (mut_raw_ptr t) =
+  admit () // TODO
+
+// [core::slice::index::usize::index]: forward function
+let core_slice_index_usize_index (t : Type0) : usize → slice t → result t =
+  admit () // TODO
+
+// [core::slice::index::usize::index_mut]: forward function
+let core_slice_index_usize_index_mut (t : Type0) : usize → slice t → result t =
+  admit () // TODO
+
+// [core::slice::index::usize::index_mut]: backward function 0
+let core_slice_index_usize_index_mut_back
+  (t : Type0) : usize → slice t → t → result (slice t) =
+  admit () // TODO
+
+// Trait implementation: [core::slice::index::private_slice_index::usize]
+let core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst
+  : core_slice_index_private_slice_index_Sealed usize = ()
+
+// Trait implementation: [core::slice::index::usize]
+let core_slice_index_usize_coresliceindexSliceIndexInst (t : Type0) :
+  core_slice_index_SliceIndex usize (slice t) = {
+  sealedInst = core_slice_index_private_slice_index_usize_coresliceindexprivate_slice_indexSealedInst;
+  output = t;
+  get = core_slice_index_usize_get t;
+  get_mut = core_slice_index_usize_get_mut t;
+  get_mut_back = core_slice_index_usize_get_mut_back t;
+  get_unchecked = core_slice_index_usize_get_unchecked t;
+  get_unchecked_mut = core_slice_index_usize_get_unchecked_mut t;
+  index = core_slice_index_usize_index t;
+  index_mut = core_slice_index_usize_index_mut t;
+  index_mut_back = core_slice_index_usize_index_mut_back t;
+}
+
+// [alloc::vec::Vec::index]: forward function
+let alloc_vec_Vec_index (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t))
+  (self : alloc_vec_Vec t) (i : idx) : result inst.output =
+  admit () // TODO
+
+// [alloc::vec::Vec::index_mut]: forward function
+let alloc_vec_Vec_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t))
+  (self : alloc_vec_Vec t) (i : idx) : result inst.output =
+  admit () // TODO
+
+// [alloc::vec::Vec::index_mut]: backward function 0
+let alloc_vec_Vec_index_mut_back
+  (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t))
+  (self : alloc_vec_Vec t) (i : idx) (x : inst.output) : result (alloc_vec_Vec t) =
+  admit () // TODO
+
+// Trait implementation: [alloc::vec::Vec]
+let alloc_vec_Vec_coreopsindexIndexInst (t idx : Type0)
+  (inst : core_slice_index_SliceIndex idx (slice t)) :
+  core_ops_index_Index (alloc_vec_Vec t) idx = {
+  output = inst.output;
+  index = alloc_vec_Vec_index t idx inst;
+}
+
+// Trait implementation: [alloc::vec::Vec]
+let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0)
+  (inst : core_slice_index_SliceIndex idx (slice t)) :
+  core_ops_index_IndexMut (alloc_vec_Vec t) idx = {
+  indexInst = alloc_vec_Vec_coreopsindexIndexInst t idx inst;
+  index_mut = alloc_vec_Vec_index_mut t idx inst;
+  index_mut_back = alloc_vec_Vec_index_mut_back t idx inst;
+}
+
+(*** Theorems *)
+
+let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) :
+  Lemma (
+    alloc_vec_Vec_index a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i ==
+      alloc_vec_Vec_index_usize v i)
+  [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i)]
+  =
+  admit()
+
+let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) :
+  Lemma (
+    alloc_vec_Vec_index_mut a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i ==
+      alloc_vec_Vec_index_usize v i)
+  [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i)]
+  =
+  admit()
+
+let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) :
+  Lemma (
+    alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x ==
+      alloc_vec_Vec_update_usize v i x)
+  [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_usize_coresliceindexSliceIndexInst a) v i x)]
+  =
+  admit()