Regenerate some of the F* test files

17 files changed, 526 insertions, 434 deletions

diff --git a/tests/fstar/array/Primitives.fst b/tests/fstar/array/Primitives.fst
index 5e154122..3110b247 100644
--- a/tests/fstar/array/Primitives.fst
+++ b/tests/fstar/array/Primitives.fst
@@ -55,8 +55,8 @@ type string = string
 let is_zero (n: nat) : bool = n = 0
 let decrease (n: nat{n > 0}) : nat = n - 1
 
-let std_mem_replace (a : Type0) (x : a) (y : a) : a = x
-let std_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 }
@@ -426,6 +426,13 @@ type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max}
 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) (x : a) : 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 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) :
@@ -694,3 +701,11 @@ let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0)
   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_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) =
+  admit()
diff --git a/tests/fstar/betree/Primitives.fst b/tests/fstar/betree/Primitives.fst
index 5e154122..3110b247 100644
--- a/tests/fstar/betree/Primitives.fst
+++ b/tests/fstar/betree/Primitives.fst
@@ -55,8 +55,8 @@ type string = string
 let is_zero (n: nat) : bool = n = 0
 let decrease (n: nat{n > 0}) : nat = n - 1
 
-let std_mem_replace (a : Type0) (x : a) (y : a) : a = x
-let std_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 }
@@ -426,6 +426,13 @@ type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max}
 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) (x : a) : 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 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) :
@@ -694,3 +701,11 @@ let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0)
   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_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) =
+  admit()
diff --git a/tests/fstar/betree_back_stateful/Primitives.fst b/tests/fstar/betree_back_stateful/Primitives.fst
index 5e154122..3110b247 100644
--- a/tests/fstar/betree_back_stateful/Primitives.fst
+++ b/tests/fstar/betree_back_stateful/Primitives.fst
@@ -55,8 +55,8 @@ type string = string
 let is_zero (n: nat) : bool = n = 0
 let decrease (n: nat{n > 0}) : nat = n - 1
 
-let std_mem_replace (a : Type0) (x : a) (y : a) : a = x
-let std_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 }
@@ -426,6 +426,13 @@ type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max}
 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) (x : a) : 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 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) :
@@ -694,3 +701,11 @@ let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0)
   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_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) =
+  admit()
diff --git a/tests/fstar/hashmap/Primitives.fst b/tests/fstar/hashmap/Primitives.fst
index 5e154122..3110b247 100644
--- a/tests/fstar/hashmap/Primitives.fst
+++ b/tests/fstar/hashmap/Primitives.fst
@@ -55,8 +55,8 @@ type string = string
 let is_zero (n: nat) : bool = n = 0
 let decrease (n: nat{n > 0}) : nat = n - 1
 
-let std_mem_replace (a : Type0) (x : a) (y : a) : a = x
-let std_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 }
@@ -426,6 +426,13 @@ type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max}
 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) (x : a) : 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 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) :
@@ -694,3 +701,11 @@ let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0)
   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_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) =
+  admit()
diff --git a/tests/fstar/hashmap_on_disk/Primitives.fst b/tests/fstar/hashmap_on_disk/Primitives.fst
index 5e154122..3110b247 100644
--- a/tests/fstar/hashmap_on_disk/Primitives.fst
+++ b/tests/fstar/hashmap_on_disk/Primitives.fst
@@ -55,8 +55,8 @@ type string = string
 let is_zero (n: nat) : bool = n = 0
 let decrease (n: nat{n > 0}) : nat = n - 1
 
-let std_mem_replace (a : Type0) (x : a) (y : a) : a = x
-let std_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 }
@@ -426,6 +426,13 @@ type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max}
 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) (x : a) : 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 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) :
@@ -694,3 +701,11 @@ let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0)
   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_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) =
+  admit()
diff --git a/tests/fstar/misc/Constants.fst b/tests/fstar/misc/Constants.fst
index 7dfb6f36..c21d6a5f 100644
--- a/tests/fstar/misc/Constants.fst
+++ b/tests/fstar/misc/Constants.fst
@@ -18,30 +18,30 @@ let x2_body : result u32 = Return 3
 let x2_c : u32 = eval_global x2_body
 
 (** [constants::incr]: forward function *)
-let incr_fwd (n : u32) : result u32 =
+let incr (n : u32) : result u32 =
   u32_add n 1
 
 (** [constants::X3] *)
-let x3_body : result u32 = incr_fwd 32
+let x3_body : result u32 = incr 32
 let x3_c : u32 = eval_global x3_body
 
 (** [constants::mk_pair0]: forward function *)
-let mk_pair0_fwd (x : u32) (y : u32) : result (u32 & u32) =
+let mk_pair0 (x : u32) (y : u32) : result (u32 & u32) =
   Return (x, y)
 
 (** [constants::Pair] *)
-type pair_t (t1 t2 : Type0) = { pair_x : t1; pair_y : t2; }
+type pair_t (t1 t2 : Type0) = { x : t1; y : t2; }
 
 (** [constants::mk_pair1]: forward function *)
-let mk_pair1_fwd (x : u32) (y : u32) : result (pair_t u32 u32) =
-  Return { pair_x = x; pair_y = y }
+let mk_pair1 (x : u32) (y : u32) : result (pair_t u32 u32) =
+  Return { x = x; y = y }
 
 (** [constants::P0] *)
-let p0_body : result (u32 & u32) = mk_pair0_fwd 0 1
+let p0_body : result (u32 & u32) = mk_pair0 0 1
 let p0_c : (u32 & u32) = eval_global p0_body
 
 (** [constants::P1] *)
-let p1_body : result (pair_t u32 u32) = mk_pair1_fwd 0 1
+let p1_body : result (pair_t u32 u32) = mk_pair1 0 1
 let p1_c : pair_t u32 u32 = eval_global p1_body
 
 (** [constants::P2] *)
@@ -49,26 +49,26 @@ let p2_body : result (u32 & u32) = Return (0, 1)
 let p2_c : (u32 & u32) = eval_global p2_body
 
 (** [constants::P3] *)
-let p3_body : result (pair_t u32 u32) = Return { pair_x = 0; pair_y = 1 }
+let p3_body : result (pair_t u32 u32) = Return { x = 0; y = 1 }
 let p3_c : pair_t u32 u32 = eval_global p3_body
 
 (** [constants::Wrap] *)
-type wrap_t (t : Type0) = { wrap_val : t; }
+type wrap_t (t : Type0) = { value : t; }
 
 (** [constants::Wrap::{0}::new]: forward function *)
-let wrap_new_fwd (t : Type0) (val0 : t) : result (wrap_t t) =
-  Return { wrap_val = val0 }
+let wrap_new (t : Type0) (value : t) : result (wrap_t t) =
+  Return { value = value }
 
 (** [constants::Y] *)
-let y_body : result (wrap_t i32) = wrap_new_fwd i32 2
+let y_body : result (wrap_t i32) = wrap_new i32 2
 let y_c : wrap_t i32 = eval_global y_body
 
 (** [constants::unwrap_y]: forward function *)
-let unwrap_y_fwd : result i32 =
-  Return y_c.wrap_val
+let unwrap_y : result i32 =
+  Return y_c.value
 
 (** [constants::YVAL] *)
-let yval_body : result i32 = unwrap_y_fwd
+let yval_body : result i32 = unwrap_y
 let yval_c : i32 = eval_global yval_body
 
 (** [constants::get_z1::Z1] *)
@@ -76,11 +76,11 @@ let get_z1_z1_body : result i32 = Return 3
 let get_z1_z1_c : i32 = eval_global get_z1_z1_body
 
 (** [constants::get_z1]: forward function *)
-let get_z1_fwd : result i32 =
+let get_z1 : result i32 =
   Return get_z1_z1_c
 
 (** [constants::add]: forward function *)
-let add_fwd (a : i32) (b : i32) : result i32 =
+let add (a : i32) (b : i32) : result i32 =
   i32_add a b
 
 (** [constants::Q1] *)
@@ -92,19 +92,19 @@ let q2_body : result i32 = Return q1_c
 let q2_c : i32 = eval_global q2_body
 
 (** [constants::Q3] *)
-let q3_body : result i32 = add_fwd q2_c 3
+let q3_body : result i32 = add q2_c 3
 let q3_c : i32 = eval_global q3_body
 
 (** [constants::get_z2]: forward function *)
-let get_z2_fwd : result i32 =
-  let* i = get_z1_fwd in let* i0 = add_fwd i q3_c in add_fwd q1_c i0
+let get_z2 : result i32 =
+  let* i = get_z1 in let* i0 = add i q3_c in add q1_c i0
 
 (** [constants::S1] *)
 let s1_body : result u32 = Return 6
 let s1_c : u32 = eval_global s1_body
 
 (** [constants::S2] *)
-let s2_body : result u32 = incr_fwd s1_c
+let s2_body : result u32 = incr s1_c
 let s2_c : u32 = eval_global s2_body
 
 (** [constants::S3] *)
@@ -112,6 +112,6 @@ let s3_body : result (pair_t u32 u32) = Return p3_c
 let s3_c : pair_t u32 u32 = eval_global s3_body
 
 (** [constants::S4] *)
-let s4_body : result (pair_t u32 u32) = mk_pair1_fwd 7 8
+let s4_body : result (pair_t u32 u32) = mk_pair1 7 8
 let s4_c : pair_t u32 u32 = eval_global s4_body
 
diff --git a/tests/fstar/misc/External.Funs.fst b/tests/fstar/misc/External.Funs.fst
index f118a2cf..e26014ac 100644
--- a/tests/fstar/misc/External.Funs.fst
+++ b/tests/fstar/misc/External.Funs.fst
@@ -8,8 +8,8 @@ include External.Opaque
 #set-options "--z3rlimit 50 --fuel 1 --ifuel 1"
 
 (** [external::swap]: forward function *)
-let swap_fwd (t : Type0) (x : t) (y : t) (st : state) : result (state & unit) =
-  let* (st0, _) = core_mem_swap_fwd t x y st in
+let swap (t : Type0) (x : t) (y : t) (st : state) : result (state & unit) =
+  let* (st0, _) = core_mem_swap t x y st in
   let* (st1, _) = core_mem_swap_back0 t x y st st0 in
   let* (st2, _) = core_mem_swap_back1 t x y st st1 in
   Return (st2, ())
@@ -19,28 +19,29 @@ let swap_back
   (t : Type0) (x : t) (y : t) (st : state) (st0 : state) :
   result (state & (t & t))
   =
-  let* (st1, _) = core_mem_swap_fwd t x y st in
+  let* (st1, _) = core_mem_swap t x y st in
   let* (st2, x0) = core_mem_swap_back0 t x y st st1 in
   let* (_, y0) = core_mem_swap_back1 t x y st st2 in
   Return (st0, (x0, y0))
 
 (** [external::test_new_non_zero_u32]: forward function *)
-let test_new_non_zero_u32_fwd
-  (x : u32) (st : state) : result (state & core_num_nonzero_non_zero_u32_t) =
-  let* (st0, opt) = core_num_nonzero_non_zero_u32_new_fwd x st in
-  core_option_option_unwrap_fwd core_num_nonzero_non_zero_u32_t opt st0
+let test_new_non_zero_u32
+  (x : u32) (st : state) : result (state & core_num_nonzero_NonZeroU32_t) =
+  let* (st0, o) = core_num_nonzero_NonZeroU32_new x st in
+  core_option_Option_unwrap core_num_nonzero_NonZeroU32_t o st0
 
 (** [external::test_vec]: forward function *)
-let test_vec_fwd : result unit =
-  let v = vec_new u32 in let* _ = vec_push_back u32 v 0 in Return ()
+let test_vec : result unit =
+  let v = alloc_vec_Vec_new u32 in
+  let* _ = alloc_vec_Vec_push u32 v 0 in
+  Return ()
 
 (** Unit test for [external::test_vec] *)
-let _ = assert_norm (test_vec_fwd = Return ())
+let _ = assert_norm (test_vec = Return ())
 
 (** [external::custom_swap]: forward function *)
-let custom_swap_fwd
-  (t : Type0) (x : t) (y : t) (st : state) : result (state & t) =
-  let* (st0, _) = core_mem_swap_fwd t x y st in
+let custom_swap (t : Type0) (x : t) (y : t) (st : state) : result (state & t) =
+  let* (st0, _) = core_mem_swap t x y st in
   let* (st1, x0) = core_mem_swap_back0 t x y st st0 in
   let* (st2, _) = core_mem_swap_back1 t x y st st1 in
   Return (st2, x0)
@@ -50,15 +51,14 @@ let custom_swap_back
   (t : Type0) (x : t) (y : t) (st : state) (ret : t) (st0 : state) :
   result (state & (t & t))
   =
-  let* (st1, _) = core_mem_swap_fwd t x y st in
+  let* (st1, _) = core_mem_swap t x y st in
   let* (st2, _) = core_mem_swap_back0 t x y st st1 in
   let* (_, y0) = core_mem_swap_back1 t x y st st2 in
   Return (st0, (ret, y0))
 
 (** [external::test_custom_swap]: forward function *)
-let test_custom_swap_fwd
-  (x : u32) (y : u32) (st : state) : result (state & unit) =
-  let* (st0, _) = custom_swap_fwd u32 x y st in Return (st0, ())
+let test_custom_swap (x : u32) (y : u32) (st : state) : result (state & unit) =
+  let* (st0, _) = custom_swap u32 x y st in Return (st0, ())
 
 (** [external::test_custom_swap]: backward function 0 *)
 let test_custom_swap_back
@@ -68,8 +68,8 @@ let test_custom_swap_back
   custom_swap_back u32 x y st 1 st0
 
 (** [external::test_swap_non_zero]: forward function *)
-let test_swap_non_zero_fwd (x : u32) (st : state) : result (state & u32) =
-  let* (st0, _) = swap_fwd u32 x 0 st in
+let test_swap_non_zero (x : u32) (st : state) : result (state & u32) =
+  let* (st0, _) = swap u32 x 0 st in
   let* (st1, (x0, _)) = swap_back u32 x 0 st st0 in
   if x0 = 0 then Fail Failure else Return (st1, x0)
 
diff --git a/tests/fstar/misc/External.Opaque.fsti b/tests/fstar/misc/External.Opaque.fsti
index 2e19f767..85cf285c 100644
--- a/tests/fstar/misc/External.Opaque.fsti
+++ b/tests/fstar/misc/External.Opaque.fsti
@@ -7,7 +7,7 @@ include External.Types
 #set-options "--z3rlimit 50 --fuel 1 --ifuel 1"
 
 (** [core::mem::swap]: forward function *)
-val core_mem_swap_fwd (t : Type0) : t -> t -> state -> result (state & unit)
+val core_mem_swap (t : Type0) : t -> t -> state -> result (state & unit)
 
 (** [core::mem::swap]: backward function 0 *)
 val core_mem_swap_back0
@@ -18,10 +18,10 @@ val core_mem_swap_back1
   (t : Type0) : t -> t -> state -> state -> result (state & t)
 
 (** [core::num::nonzero::NonZeroU32::{14}::new]: forward function *)
-val core_num_nonzero_non_zero_u32_new_fwd
-  : u32 -> state -> result (state & (option core_num_nonzero_non_zero_u32_t))
+val core_num_nonzero_NonZeroU32_new
+  : u32 -> state -> result (state & (option core_num_nonzero_NonZeroU32_t))
 
 (** [core::option::Option::{0}::unwrap]: forward function *)
-val core_option_option_unwrap_fwd
+val core_option_Option_unwrap
   (t : Type0) : option t -> state -> result (state & t)
 
diff --git a/tests/fstar/misc/External.Types.fsti b/tests/fstar/misc/External.Types.fsti
index 4a13a744..78b5228d 100644
--- a/tests/fstar/misc/External.Types.fsti
+++ b/tests/fstar/misc/External.Types.fsti
@@ -6,7 +6,7 @@ open Primitives
 #set-options "--z3rlimit 50 --fuel 1 --ifuel 1"
 
 (** [core::num::nonzero::NonZeroU32] *)
-val core_num_nonzero_non_zero_u32_t : Type0
+val core_num_nonzero_NonZeroU32_t : Type0
 
 (** The state type used in the state-error monad *)
 val state : Type0
diff --git a/tests/fstar/misc/Loops.Clauses.Template.fst b/tests/fstar/misc/Loops.Clauses.Template.fst
index 053b7663..9920bdc1 100644
--- a/tests/fstar/misc/Loops.Clauses.Template.fst
+++ b/tests/fstar/misc/Loops.Clauses.Template.fst
@@ -22,7 +22,8 @@ let sum_with_shared_borrows_loop_decreases (max : u32) (i : u32) (s : u32) :
   admit ()
 
 (** [loops::clear]: decreases clause *)
-unfold let clear_loop_decreases (v : vec u32) (i : usize) : nat = admit ()
+unfold
+let clear_loop_decreases (v : alloc_vec_Vec u32) (i : usize) : nat = admit ()
 
 (** [loops::list_mem]: decreases clause *)
 unfold let list_mem_loop_decreases (x : u32) (ls : list_t u32) : nat = admit ()
diff --git a/tests/fstar/misc/Loops.Clauses.fst b/tests/fstar/misc/Loops.Clauses.fst
index 82f34de1..75194437 100644
--- a/tests/fstar/misc/Loops.Clauses.fst
+++ b/tests/fstar/misc/Loops.Clauses.fst
@@ -20,7 +20,7 @@ let sum_with_shared_borrows_loop_decreases (max : u32) (i : u32) (s : u32) : nat
   if max >= i then max - i else 0
 
 (** [loops::clear]: decreases clause *)
-unfold let clear_loop_decreases (v : vec u32) (i : usize) : nat =
+unfold let clear_loop_decreases (v : alloc_vec_Vec u32) (i : usize) : nat =
   if i <= List.Tot.length v then List.Tot.length v - i else 0
 
 (** [loops::list_mem]: decreases clause *)
diff --git a/tests/fstar/misc/Loops.Funs.fst b/tests/fstar/misc/Loops.Funs.fst
index 9a80f415..0f755351 100644
--- a/tests/fstar/misc/Loops.Funs.fst
+++ b/tests/fstar/misc/Loops.Funs.fst
@@ -8,20 +8,20 @@ include Loops.Clauses
 #set-options "--z3rlimit 50 --fuel 1 --ifuel 1"
 
 (** [loops::sum]: loop 0: forward function *)
-let rec sum_loop_fwd
+let rec sum_loop
   (max : u32) (i : u32) (s : u32) :
   Tot (result u32) (decreases (sum_loop_decreases max i s))
   =
   if i < max
-  then let* s0 = u32_add s i in let* i0 = u32_add i 1 in sum_loop_fwd max i0 s0
+  then let* s0 = u32_add s i in let* i0 = u32_add i 1 in sum_loop max i0 s0
   else u32_mul s 2
 
 (** [loops::sum]: forward function *)
-let sum_fwd (max : u32) : result u32 =
-  sum_loop_fwd max 0 0
+let sum (max : u32) : result u32 =
+  sum_loop max 0 0
 
 (** [loops::sum_with_mut_borrows]: loop 0: forward function *)
-let rec sum_with_mut_borrows_loop_fwd
+let rec sum_with_mut_borrows_loop
   (max : u32) (mi : u32) (ms : u32) :
   Tot (result u32) (decreases (sum_with_mut_borrows_loop_decreases max mi ms))
   =
@@ -29,15 +29,15 @@ let rec sum_with_mut_borrows_loop_fwd
   then
     let* ms0 = u32_add ms mi in
     let* mi0 = u32_add mi 1 in
-    sum_with_mut_borrows_loop_fwd max mi0 ms0
+    sum_with_mut_borrows_loop max mi0 ms0
   else u32_mul ms 2
 
 (** [loops::sum_with_mut_borrows]: forward function *)
-let sum_with_mut_borrows_fwd (max : u32) : result u32 =
-  sum_with_mut_borrows_loop_fwd max 0 0
+let sum_with_mut_borrows (max : u32) : result u32 =
+  sum_with_mut_borrows_loop max 0 0
 
 (** [loops::sum_with_shared_borrows]: loop 0: forward function *)
-let rec sum_with_shared_borrows_loop_fwd
+let rec sum_with_shared_borrows_loop
   (max : u32) (i : u32) (s : u32) :
   Tot (result u32) (decreases (sum_with_shared_borrows_loop_decreases max i s))
   =
@@ -45,62 +45,64 @@ let rec sum_with_shared_borrows_loop_fwd
   then
     let* i0 = u32_add i 1 in
     let* s0 = u32_add s i0 in
-    sum_with_shared_borrows_loop_fwd max i0 s0
+    sum_with_shared_borrows_loop max i0 s0
   else u32_mul s 2
 
 (** [loops::sum_with_shared_borrows]: forward function *)
-let sum_with_shared_borrows_fwd (max : u32) : result u32 =
-  sum_with_shared_borrows_loop_fwd max 0 0
+let sum_with_shared_borrows (max : u32) : result u32 =
+  sum_with_shared_borrows_loop max 0 0
 
 (** [loops::clear]: loop 0: merged forward/backward function
     (there is a single backward function, and the forward function returns ()) *)
-let rec clear_loop_fwd_back
-  (v : vec u32) (i : usize) :
-  Tot (result (vec u32)) (decreases (clear_loop_decreases v i))
+let rec clear_loop
+  (v : alloc_vec_Vec u32) (i : usize) :
+  Tot (result (alloc_vec_Vec u32)) (decreases (clear_loop_decreases v i))
   =
-  let i0 = vec_len u32 v in
+  let i0 = alloc_vec_Vec_len u32 v in
   if i < i0
   then
     let* i1 = usize_add i 1 in
-    let* v0 = vec_index_mut_back u32 v i 0 in
-    clear_loop_fwd_back v0 i1
+    let* v0 =
+      alloc_vec_Vec_index_mut_back u32 usize
+        (core_slice_index_usize_coresliceindexSliceIndexInst u32) v i 0 in
+    clear_loop v0 i1
   else Return v
 
 (** [loops::clear]: merged forward/backward function
     (there is a single backward function, and the forward function returns ()) *)
-let clear_fwd_back (v : vec u32) : result (vec u32) =
-  clear_loop_fwd_back v 0
+let clear (v : alloc_vec_Vec u32) : result (alloc_vec_Vec u32) =
+  clear_loop v 0
 
 (** [loops::list_mem]: loop 0: forward function *)
-let rec list_mem_loop_fwd
+let rec list_mem_loop
   (x : u32) (ls : list_t u32) :
   Tot (result bool) (decreases (list_mem_loop_decreases x ls))
   =
   begin match ls with
-  | ListCons y tl -> if y = x then Return true else list_mem_loop_fwd x tl
-  | ListNil -> Return false
+  | List_Cons y tl -> if y = x then Return true else list_mem_loop x tl
+  | List_Nil -> Return false
   end
 
 (** [loops::list_mem]: forward function *)
-let list_mem_fwd (x : u32) (ls : list_t u32) : result bool =
-  list_mem_loop_fwd x ls
+let list_mem (x : u32) (ls : list_t u32) : result bool =
+  list_mem_loop x ls
 
 (** [loops::list_nth_mut_loop]: loop 0: forward function *)
-let rec list_nth_mut_loop_loop_fwd
+let rec list_nth_mut_loop_loop
   (t : Type0) (ls : list_t t) (i : u32) :
   Tot (result t) (decreases (list_nth_mut_loop_loop_decreases t ls i))
   =
   begin match ls with
-  | ListCons x tl ->
+  | List_Cons x tl ->
     if i = 0
     then Return x
-    else let* i0 = u32_sub i 1 in list_nth_mut_loop_loop_fwd t tl i0
-  | ListNil -> Fail Failure
+    else let* i0 = u32_sub i 1 in list_nth_mut_loop_loop t tl i0
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_mut_loop]: forward function *)
-let list_nth_mut_loop_fwd (t : Type0) (ls : list_t t) (i : u32) : result t =
-  list_nth_mut_loop_loop_fwd t ls i
+let list_nth_mut_loop (t : Type0) (ls : list_t t) (i : u32) : result t =
+  list_nth_mut_loop_loop t ls i
 
 (** [loops::list_nth_mut_loop]: loop 0: backward function 0 *)
 let rec list_nth_mut_loop_loop_back
@@ -108,14 +110,14 @@ let rec list_nth_mut_loop_loop_back
   Tot (result (list_t t)) (decreases (list_nth_mut_loop_loop_decreases t ls i))
   =
   begin match ls with
-  | ListCons x tl ->
+  | List_Cons x tl ->
     if i = 0
-    then Return (ListCons ret tl)
+    then Return (List_Cons ret tl)
     else
       let* i0 = u32_sub i 1 in
       let* tl0 = list_nth_mut_loop_loop_back t tl i0 ret in
-      Return (ListCons x tl0)
-  | ListNil -> Fail Failure
+      Return (List_Cons x tl0)
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_mut_loop]: backward function 0 *)
@@ -124,36 +126,40 @@ let list_nth_mut_loop_back
   list_nth_mut_loop_loop_back t ls i ret
 
 (** [loops::list_nth_shared_loop]: loop 0: forward function *)
-let rec list_nth_shared_loop_loop_fwd
+let rec list_nth_shared_loop_loop
   (t : Type0) (ls : list_t t) (i : u32) :
   Tot (result t) (decreases (list_nth_shared_loop_loop_decreases t ls i))
   =
   begin match ls with
-  | ListCons x tl ->
+  | List_Cons x tl ->
     if i = 0
     then Return x
-    else let* i0 = u32_sub i 1 in list_nth_shared_loop_loop_fwd t tl i0
-  | ListNil -> Fail Failure
+    else let* i0 = u32_sub i 1 in list_nth_shared_loop_loop t tl i0
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_shared_loop]: forward function *)
-let list_nth_shared_loop_fwd (t : Type0) (ls : list_t t) (i : u32) : result t =
-  list_nth_shared_loop_loop_fwd t ls i
+let list_nth_shared_loop (t : Type0) (ls : list_t t) (i : u32) : result t =
+  list_nth_shared_loop_loop t ls i
 
 (** [loops::get_elem_mut]: loop 0: forward function *)
-let rec get_elem_mut_loop_fwd
+let rec get_elem_mut_loop
   (x : usize) (ls : list_t usize) :
   Tot (result usize) (decreases (get_elem_mut_loop_decreases x ls))
   =
   begin match ls with
-  | ListCons y tl -> if y = x then Return y else get_elem_mut_loop_fwd x tl
-  | ListNil -> Fail Failure
+  | List_Cons y tl -> if y = x then Return y else get_elem_mut_loop x tl
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::get_elem_mut]: forward function *)
-let get_elem_mut_fwd (slots : vec (list_t usize)) (x : usize) : result usize =
-  let* l = vec_index_mut_fwd (list_t usize) slots 0 in
-  get_elem_mut_loop_fwd x l
+let get_elem_mut
+  (slots : alloc_vec_Vec (list_t usize)) (x : usize) : result usize =
+  let* l =
+    alloc_vec_Vec_index_mut (list_t usize) usize
+      (core_slice_index_usize_coresliceindexSliceIndexInst (list_t usize))
+      slots 0 in
+  get_elem_mut_loop x l
 
 (** [loops::get_elem_mut]: loop 0: backward function 0 *)
 let rec get_elem_mut_loop_back
@@ -161,39 +167,48 @@ let rec get_elem_mut_loop_back
   Tot (result (list_t usize)) (decreases (get_elem_mut_loop_decreases x ls))
   =
   begin match ls with
-  | ListCons y tl ->
+  | List_Cons y tl ->
     if y = x
-    then Return (ListCons ret tl)
-    else let* tl0 = get_elem_mut_loop_back x tl ret in Return (ListCons y tl0)
-  | ListNil -> Fail Failure
+    then Return (List_Cons ret tl)
+    else let* tl0 = get_elem_mut_loop_back x tl ret in Return (List_Cons y tl0)
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::get_elem_mut]: backward function 0 *)
 let get_elem_mut_back
-  (slots : vec (list_t usize)) (x : usize) (ret : usize) :
-  result (vec (list_t usize))
+  (slots : alloc_vec_Vec (list_t usize)) (x : usize) (ret : usize) :
+  result (alloc_vec_Vec (list_t usize))
   =
-  let* l = vec_index_mut_fwd (list_t usize) slots 0 in
+  let* l =
+    alloc_vec_Vec_index_mut (list_t usize) usize
+      (core_slice_index_usize_coresliceindexSliceIndexInst (list_t usize))
+      slots 0 in
   let* l0 = get_elem_mut_loop_back x l ret in
-  vec_index_mut_back (list_t usize) slots 0 l0
+  alloc_vec_Vec_index_mut_back (list_t usize) usize
+    (core_slice_index_usize_coresliceindexSliceIndexInst (list_t usize)) slots
+    0 l0
 
 (** [loops::get_elem_shared]: loop 0: forward function *)
-let rec get_elem_shared_loop_fwd
+let rec get_elem_shared_loop
   (x : usize) (ls : list_t usize) :
   Tot (result usize) (decreases (get_elem_shared_loop_decreases x ls))
   =
   begin match ls with
-  | ListCons y tl -> if y = x then Return y else get_elem_shared_loop_fwd x tl
-  | ListNil -> Fail Failure
+  | List_Cons y tl -> if y = x then Return y else get_elem_shared_loop x tl
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::get_elem_shared]: forward function *)
-let get_elem_shared_fwd
-  (slots : vec (list_t usize)) (x : usize) : result usize =
-  let* l = vec_index_fwd (list_t usize) slots 0 in get_elem_shared_loop_fwd x l
+let get_elem_shared
+  (slots : alloc_vec_Vec (list_t usize)) (x : usize) : result usize =
+  let* l =
+    alloc_vec_Vec_index (list_t usize) usize
+      (core_slice_index_usize_coresliceindexSliceIndexInst (list_t usize))
+      slots 0 in
+  get_elem_shared_loop x l
 
 (** [loops::id_mut]: forward function *)
-let id_mut_fwd (t : Type0) (ls : list_t t) : result (list_t t) =
+let id_mut (t : Type0) (ls : list_t t) : result (list_t t) =
   Return ls
 
 (** [loops::id_mut]: backward function 0 *)
@@ -202,26 +217,26 @@ let id_mut_back
   Return ret
 
 (** [loops::id_shared]: forward function *)
-let id_shared_fwd (t : Type0) (ls : list_t t) : result (list_t t) =
+let id_shared (t : Type0) (ls : list_t t) : result (list_t t) =
   Return ls
 
 (** [loops::list_nth_mut_loop_with_id]: loop 0: forward function *)
-let rec list_nth_mut_loop_with_id_loop_fwd
+let rec list_nth_mut_loop_with_id_loop
   (t : Type0) (i : u32) (ls : list_t t) :
   Tot (result t) (decreases (list_nth_mut_loop_with_id_loop_decreases t i ls))
   =
   begin match ls with
-  | ListCons x tl ->
+  | List_Cons x tl ->
     if i = 0
     then Return x
-    else let* i0 = u32_sub i 1 in list_nth_mut_loop_with_id_loop_fwd t i0 tl
-  | ListNil -> Fail Failure
+    else let* i0 = u32_sub i 1 in list_nth_mut_loop_with_id_loop t i0 tl
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_mut_loop_with_id]: forward function *)
-let list_nth_mut_loop_with_id_fwd
+let list_nth_mut_loop_with_id
   (t : Type0) (ls : list_t t) (i : u32) : result t =
-  let* ls0 = id_mut_fwd t ls in list_nth_mut_loop_with_id_loop_fwd t i ls0
+  let* ls0 = id_mut t ls in list_nth_mut_loop_with_id_loop t i ls0
 
 (** [loops::list_nth_mut_loop_with_id]: loop 0: backward function 0 *)
 let rec list_nth_mut_loop_with_id_loop_back
@@ -230,66 +245,64 @@ let rec list_nth_mut_loop_with_id_loop_back
   (decreases (list_nth_mut_loop_with_id_loop_decreases t i ls))
   =
   begin match ls with
-  | ListCons x tl ->
+  | List_Cons x tl ->
     if i = 0
-    then Return (ListCons ret tl)
+    then Return (List_Cons ret tl)
     else
       let* i0 = u32_sub i 1 in
       let* tl0 = list_nth_mut_loop_with_id_loop_back t i0 tl ret in
-      Return (ListCons x tl0)
-  | ListNil -> Fail Failure
+      Return (List_Cons x tl0)
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_mut_loop_with_id]: backward function 0 *)
 let list_nth_mut_loop_with_id_back
   (t : Type0) (ls : list_t t) (i : u32) (ret : t) : result (list_t t) =
-  let* ls0 = id_mut_fwd t ls in
+  let* ls0 = id_mut t ls in
   let* l = list_nth_mut_loop_with_id_loop_back t i ls0 ret in
   id_mut_back t ls l
 
 (** [loops::list_nth_shared_loop_with_id]: loop 0: forward function *)
-let rec list_nth_shared_loop_with_id_loop_fwd
+let rec list_nth_shared_loop_with_id_loop
   (t : Type0) (i : u32) (ls : list_t t) :
   Tot (result t)
   (decreases (list_nth_shared_loop_with_id_loop_decreases t i ls))
   =
   begin match ls with
-  | ListCons x tl ->
+  | List_Cons x tl ->
     if i = 0
     then Return x
-    else let* i0 = u32_sub i 1 in list_nth_shared_loop_with_id_loop_fwd t i0 tl
-  | ListNil -> Fail Failure
+    else let* i0 = u32_sub i 1 in list_nth_shared_loop_with_id_loop t i0 tl
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_shared_loop_with_id]: forward function *)
-let list_nth_shared_loop_with_id_fwd
+let list_nth_shared_loop_with_id
   (t : Type0) (ls : list_t t) (i : u32) : result t =
-  let* ls0 = id_shared_fwd t ls in
-  list_nth_shared_loop_with_id_loop_fwd t i ls0
+  let* ls0 = id_shared t ls in list_nth_shared_loop_with_id_loop t i ls0
 
 (** [loops::list_nth_mut_loop_pair]: loop 0: forward function *)
-let rec list_nth_mut_loop_pair_loop_fwd
+let rec list_nth_mut_loop_pair_loop
   (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) :
   Tot (result (t & t))
   (decreases (list_nth_mut_loop_pair_loop_decreases t ls0 ls1 i))
   =
   begin match ls0 with
-  | ListCons x0 tl0 ->
+  | List_Cons x0 tl0 ->
     begin match ls1 with
-    | ListCons x1 tl1 ->
+    | List_Cons x1 tl1 ->
       if i = 0
       then Return (x0, x1)
-      else
-        let* i0 = u32_sub i 1 in list_nth_mut_loop_pair_loop_fwd t tl0 tl1 i0
-    | ListNil -> Fail Failure
+      else let* i0 = u32_sub i 1 in list_nth_mut_loop_pair_loop t tl0 tl1 i0
+    | List_Nil -> Fail Failure
     end
-  | ListNil -> Fail Failure
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_mut_loop_pair]: forward function *)
-let list_nth_mut_loop_pair_fwd
+let list_nth_mut_loop_pair
   (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) =
-  list_nth_mut_loop_pair_loop_fwd t ls0 ls1 i
+  list_nth_mut_loop_pair_loop t ls0 ls1 i
 
 (** [loops::list_nth_mut_loop_pair]: loop 0: backward function 0 *)
 let rec list_nth_mut_loop_pair_loop_back'a
@@ -298,18 +311,18 @@ let rec list_nth_mut_loop_pair_loop_back'a
   (decreases (list_nth_mut_loop_pair_loop_decreases t ls0 ls1 i))
   =
   begin match ls0 with
-  | ListCons x0 tl0 ->
+  | List_Cons x0 tl0 ->
     begin match ls1 with
-    | ListCons x1 tl1 ->
+    | List_Cons x1 tl1 ->
       if i = 0
-      then Return (ListCons ret tl0)
+      then Return (List_Cons ret tl0)
       else
         let* i0 = u32_sub i 1 in
         let* tl00 = list_nth_mut_loop_pair_loop_back'a t tl0 tl1 i0 ret in
-        Return (ListCons x0 tl00)
-    | ListNil -> Fail Failure
+        Return (List_Cons x0 tl00)
+    | List_Nil -> Fail Failure
     end
-  | ListNil -> Fail Failure
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_mut_loop_pair]: backward function 0 *)
@@ -326,18 +339,18 @@ let rec list_nth_mut_loop_pair_loop_back'b
   (decreases (list_nth_mut_loop_pair_loop_decreases t ls0 ls1 i))
   =
   begin match ls0 with
-  | ListCons x0 tl0 ->
+  | List_Cons x0 tl0 ->
     begin match ls1 with
-    | ListCons x1 tl1 ->
+    | List_Cons x1 tl1 ->
       if i = 0
-      then Return (ListCons ret tl1)
+      then Return (List_Cons ret tl1)
       else
         let* i0 = u32_sub i 1 in
         let* tl10 = list_nth_mut_loop_pair_loop_back'b t tl0 tl1 i0 ret in
-        Return (ListCons x1 tl10)
-    | ListNil -> Fail Failure
+        Return (List_Cons x1 tl10)
+    | List_Nil -> Fail Failure
     end
-  | ListNil -> Fail Failure
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_mut_loop_pair]: backward function 1 *)
@@ -348,54 +361,51 @@ let list_nth_mut_loop_pair_back'b
   list_nth_mut_loop_pair_loop_back'b t ls0 ls1 i ret
 
 (** [loops::list_nth_shared_loop_pair]: loop 0: forward function *)
-let rec list_nth_shared_loop_pair_loop_fwd
+let rec list_nth_shared_loop_pair_loop
   (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) :
   Tot (result (t & t))
   (decreases (list_nth_shared_loop_pair_loop_decreases t ls0 ls1 i))
   =
   begin match ls0 with
-  | ListCons x0 tl0 ->
+  | List_Cons x0 tl0 ->
     begin match ls1 with
-    | ListCons x1 tl1 ->
+    | List_Cons x1 tl1 ->
       if i = 0
       then Return (x0, x1)
-      else
-        let* i0 = u32_sub i 1 in
-        list_nth_shared_loop_pair_loop_fwd t tl0 tl1 i0
-    | ListNil -> Fail Failure
+      else let* i0 = u32_sub i 1 in list_nth_shared_loop_pair_loop t tl0 tl1 i0
+    | List_Nil -> Fail Failure
     end
-  | ListNil -> Fail Failure
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_shared_loop_pair]: forward function *)
-let list_nth_shared_loop_pair_fwd
+let list_nth_shared_loop_pair
   (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) =
-  list_nth_shared_loop_pair_loop_fwd t ls0 ls1 i
+  list_nth_shared_loop_pair_loop t ls0 ls1 i
 
 (** [loops::list_nth_mut_loop_pair_merge]: loop 0: forward function *)
-let rec list_nth_mut_loop_pair_merge_loop_fwd
+let rec list_nth_mut_loop_pair_merge_loop
   (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) :
   Tot (result (t & t))
   (decreases (list_nth_mut_loop_pair_merge_loop_decreases t ls0 ls1 i))
   =
   begin match ls0 with
-  | ListCons x0 tl0 ->
+  | List_Cons x0 tl0 ->
     begin match ls1 with
-    | ListCons x1 tl1 ->
+    | List_Cons x1 tl1 ->
       if i = 0
       then Return (x0, x1)
       else
-        let* i0 = u32_sub i 1 in
-        list_nth_mut_loop_pair_merge_loop_fwd t tl0 tl1 i0
-    | ListNil -> Fail Failure
+        let* i0 = u32_sub i 1 in list_nth_mut_loop_pair_merge_loop t tl0 tl1 i0
+    | List_Nil -> Fail Failure
     end
-  | ListNil -> Fail Failure
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_mut_loop_pair_merge]: forward function *)
-let list_nth_mut_loop_pair_merge_fwd
+let list_nth_mut_loop_pair_merge
   (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) =
-  list_nth_mut_loop_pair_merge_loop_fwd t ls0 ls1 i
+  list_nth_mut_loop_pair_merge_loop t ls0 ls1 i
 
 (** [loops::list_nth_mut_loop_pair_merge]: loop 0: backward function 0 *)
 let rec list_nth_mut_loop_pair_merge_loop_back
@@ -404,19 +414,19 @@ let rec list_nth_mut_loop_pair_merge_loop_back
   (decreases (list_nth_mut_loop_pair_merge_loop_decreases t ls0 ls1 i))
   =
   begin match ls0 with
-  | ListCons x0 tl0 ->
+  | List_Cons x0 tl0 ->
     begin match ls1 with
-    | ListCons x1 tl1 ->
+    | List_Cons x1 tl1 ->
       if i = 0
-      then let (x, x2) = ret in Return (ListCons x tl0, ListCons x2 tl1)
+      then let (x, x2) = ret in Return (List_Cons x tl0, List_Cons x2 tl1)
       else
         let* i0 = u32_sub i 1 in
         let* (tl00, tl10) =
           list_nth_mut_loop_pair_merge_loop_back t tl0 tl1 i0 ret in
-        Return (ListCons x0 tl00, ListCons x1 tl10)
-    | ListNil -> Fail Failure
+        Return (List_Cons x0 tl00, List_Cons x1 tl10)
+    | List_Nil -> Fail Failure
     end
-  | ListNil -> Fail Failure
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_mut_loop_pair_merge]: backward function 0 *)
@@ -427,54 +437,54 @@ let list_nth_mut_loop_pair_merge_back
   list_nth_mut_loop_pair_merge_loop_back t ls0 ls1 i ret
 
 (** [loops::list_nth_shared_loop_pair_merge]: loop 0: forward function *)
-let rec list_nth_shared_loop_pair_merge_loop_fwd
+let rec list_nth_shared_loop_pair_merge_loop
   (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) :
   Tot (result (t & t))
   (decreases (list_nth_shared_loop_pair_merge_loop_decreases t ls0 ls1 i))
   =
   begin match ls0 with
-  | ListCons x0 tl0 ->
+  | List_Cons x0 tl0 ->
     begin match ls1 with
-    | ListCons x1 tl1 ->
+    | List_Cons x1 tl1 ->
       if i = 0
       then Return (x0, x1)
       else
         let* i0 = u32_sub i 1 in
-        list_nth_shared_loop_pair_merge_loop_fwd t tl0 tl1 i0
-    | ListNil -> Fail Failure
+        list_nth_shared_loop_pair_merge_loop t tl0 tl1 i0
+    | List_Nil -> Fail Failure
     end
-  | ListNil -> Fail Failure
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_shared_loop_pair_merge]: forward function *)
-let list_nth_shared_loop_pair_merge_fwd
+let list_nth_shared_loop_pair_merge
   (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) =
-  list_nth_shared_loop_pair_merge_loop_fwd t ls0 ls1 i
+  list_nth_shared_loop_pair_merge_loop t ls0 ls1 i
 
 (** [loops::list_nth_mut_shared_loop_pair]: loop 0: forward function *)
-let rec list_nth_mut_shared_loop_pair_loop_fwd
+let rec list_nth_mut_shared_loop_pair_loop
   (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) :
   Tot (result (t & t))
   (decreases (list_nth_mut_shared_loop_pair_loop_decreases t ls0 ls1 i))
   =
   begin match ls0 with
-  | ListCons x0 tl0 ->
+  | List_Cons x0 tl0 ->
     begin match ls1 with
-    | ListCons x1 tl1 ->
+    | List_Cons x1 tl1 ->
       if i = 0
       then Return (x0, x1)
       else
         let* i0 = u32_sub i 1 in
-        list_nth_mut_shared_loop_pair_loop_fwd t tl0 tl1 i0
-    | ListNil -> Fail Failure
+        list_nth_mut_shared_loop_pair_loop t tl0 tl1 i0
+    | List_Nil -> Fail Failure
     end
-  | ListNil -> Fail Failure
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_mut_shared_loop_pair]: forward function *)
-let list_nth_mut_shared_loop_pair_fwd
+let list_nth_mut_shared_loop_pair
   (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) =
-  list_nth_mut_shared_loop_pair_loop_fwd t ls0 ls1 i
+  list_nth_mut_shared_loop_pair_loop t ls0 ls1 i
 
 (** [loops::list_nth_mut_shared_loop_pair]: loop 0: backward function 0 *)
 let rec list_nth_mut_shared_loop_pair_loop_back
@@ -483,18 +493,18 @@ let rec list_nth_mut_shared_loop_pair_loop_back
   (decreases (list_nth_mut_shared_loop_pair_loop_decreases t ls0 ls1 i))
   =
   begin match ls0 with
-  | ListCons x0 tl0 ->
+  | List_Cons x0 tl0 ->
     begin match ls1 with
-    | ListCons x1 tl1 ->
+    | List_Cons x1 tl1 ->
       if i = 0
-      then Return (ListCons ret tl0)
+      then Return (List_Cons ret tl0)
       else
         let* i0 = u32_sub i 1 in
         let* tl00 = list_nth_mut_shared_loop_pair_loop_back t tl0 tl1 i0 ret in
-        Return (ListCons x0 tl00)
-    | ListNil -> Fail Failure
+        Return (List_Cons x0 tl00)
+    | List_Nil -> Fail Failure
     end
-  | ListNil -> Fail Failure
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_mut_shared_loop_pair]: backward function 0 *)
@@ -505,29 +515,29 @@ let list_nth_mut_shared_loop_pair_back
   list_nth_mut_shared_loop_pair_loop_back t ls0 ls1 i ret
 
 (** [loops::list_nth_mut_shared_loop_pair_merge]: loop 0: forward function *)
-let rec list_nth_mut_shared_loop_pair_merge_loop_fwd
+let rec list_nth_mut_shared_loop_pair_merge_loop
   (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) :
   Tot (result (t & t))
   (decreases (list_nth_mut_shared_loop_pair_merge_loop_decreases t ls0 ls1 i))
   =
   begin match ls0 with
-  | ListCons x0 tl0 ->
+  | List_Cons x0 tl0 ->
     begin match ls1 with
-    | ListCons x1 tl1 ->
+    | List_Cons x1 tl1 ->
       if i = 0
       then Return (x0, x1)
       else
         let* i0 = u32_sub i 1 in
-        list_nth_mut_shared_loop_pair_merge_loop_fwd t tl0 tl1 i0
-    | ListNil -> Fail Failure
+        list_nth_mut_shared_loop_pair_merge_loop t tl0 tl1 i0
+    | List_Nil -> Fail Failure
     end
-  | ListNil -> Fail Failure
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_mut_shared_loop_pair_merge]: forward function *)
-let list_nth_mut_shared_loop_pair_merge_fwd
+let list_nth_mut_shared_loop_pair_merge
   (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) =
-  list_nth_mut_shared_loop_pair_merge_loop_fwd t ls0 ls1 i
+  list_nth_mut_shared_loop_pair_merge_loop t ls0 ls1 i
 
 (** [loops::list_nth_mut_shared_loop_pair_merge]: loop 0: backward function 0 *)
 let rec list_nth_mut_shared_loop_pair_merge_loop_back
@@ -536,19 +546,19 @@ let rec list_nth_mut_shared_loop_pair_merge_loop_back
   (decreases (list_nth_mut_shared_loop_pair_merge_loop_decreases t ls0 ls1 i))
   =
   begin match ls0 with
-  | ListCons x0 tl0 ->
+  | List_Cons x0 tl0 ->
     begin match ls1 with
-    | ListCons x1 tl1 ->
+    | List_Cons x1 tl1 ->
       if i = 0
-      then Return (ListCons ret tl0)
+      then Return (List_Cons ret tl0)
       else
         let* i0 = u32_sub i 1 in
         let* tl00 =
           list_nth_mut_shared_loop_pair_merge_loop_back t tl0 tl1 i0 ret in
-        Return (ListCons x0 tl00)
-    | ListNil -> Fail Failure
+        Return (List_Cons x0 tl00)
+    | List_Nil -> Fail Failure
     end
-  | ListNil -> Fail Failure
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_mut_shared_loop_pair_merge]: backward function 0 *)
@@ -559,29 +569,29 @@ let list_nth_mut_shared_loop_pair_merge_back
   list_nth_mut_shared_loop_pair_merge_loop_back t ls0 ls1 i ret
 
 (** [loops::list_nth_shared_mut_loop_pair]: loop 0: forward function *)
-let rec list_nth_shared_mut_loop_pair_loop_fwd
+let rec list_nth_shared_mut_loop_pair_loop
   (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) :
   Tot (result (t & t))
   (decreases (list_nth_shared_mut_loop_pair_loop_decreases t ls0 ls1 i))
   =
   begin match ls0 with
-  | ListCons x0 tl0 ->
+  | List_Cons x0 tl0 ->
     begin match ls1 with
-    | ListCons x1 tl1 ->
+    | List_Cons x1 tl1 ->
       if i = 0
       then Return (x0, x1)
       else
         let* i0 = u32_sub i 1 in
-        list_nth_shared_mut_loop_pair_loop_fwd t tl0 tl1 i0
-    | ListNil -> Fail Failure
+        list_nth_shared_mut_loop_pair_loop t tl0 tl1 i0
+    | List_Nil -> Fail Failure
     end
-  | ListNil -> Fail Failure
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_shared_mut_loop_pair]: forward function *)
-let list_nth_shared_mut_loop_pair_fwd
+let list_nth_shared_mut_loop_pair
   (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) =
-  list_nth_shared_mut_loop_pair_loop_fwd t ls0 ls1 i
+  list_nth_shared_mut_loop_pair_loop t ls0 ls1 i
 
 (** [loops::list_nth_shared_mut_loop_pair]: loop 0: backward function 1 *)
 let rec list_nth_shared_mut_loop_pair_loop_back
@@ -590,18 +600,18 @@ let rec list_nth_shared_mut_loop_pair_loop_back
   (decreases (list_nth_shared_mut_loop_pair_loop_decreases t ls0 ls1 i))
   =
   begin match ls0 with
-  | ListCons x0 tl0 ->
+  | List_Cons x0 tl0 ->
     begin match ls1 with
-    | ListCons x1 tl1 ->
+    | List_Cons x1 tl1 ->
       if i = 0
-      then Return (ListCons ret tl1)
+      then Return (List_Cons ret tl1)
       else
         let* i0 = u32_sub i 1 in
         let* tl10 = list_nth_shared_mut_loop_pair_loop_back t tl0 tl1 i0 ret in
-        Return (ListCons x1 tl10)
-    | ListNil -> Fail Failure
+        Return (List_Cons x1 tl10)
+    | List_Nil -> Fail Failure
     end
-  | ListNil -> Fail Failure
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_shared_mut_loop_pair]: backward function 1 *)
@@ -612,29 +622,29 @@ let list_nth_shared_mut_loop_pair_back
   list_nth_shared_mut_loop_pair_loop_back t ls0 ls1 i ret
 
 (** [loops::list_nth_shared_mut_loop_pair_merge]: loop 0: forward function *)
-let rec list_nth_shared_mut_loop_pair_merge_loop_fwd
+let rec list_nth_shared_mut_loop_pair_merge_loop
   (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) :
   Tot (result (t & t))
   (decreases (list_nth_shared_mut_loop_pair_merge_loop_decreases t ls0 ls1 i))
   =
   begin match ls0 with
-  | ListCons x0 tl0 ->
+  | List_Cons x0 tl0 ->
     begin match ls1 with
-    | ListCons x1 tl1 ->
+    | List_Cons x1 tl1 ->
       if i = 0
       then Return (x0, x1)
       else
         let* i0 = u32_sub i 1 in
-        list_nth_shared_mut_loop_pair_merge_loop_fwd t tl0 tl1 i0
-    | ListNil -> Fail Failure
+        list_nth_shared_mut_loop_pair_merge_loop t tl0 tl1 i0
+    | List_Nil -> Fail Failure
     end
-  | ListNil -> Fail Failure
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_shared_mut_loop_pair_merge]: forward function *)
-let list_nth_shared_mut_loop_pair_merge_fwd
+let list_nth_shared_mut_loop_pair_merge
   (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) =
-  list_nth_shared_mut_loop_pair_merge_loop_fwd t ls0 ls1 i
+  list_nth_shared_mut_loop_pair_merge_loop t ls0 ls1 i
 
 (** [loops::list_nth_shared_mut_loop_pair_merge]: loop 0: backward function 0 *)
 let rec list_nth_shared_mut_loop_pair_merge_loop_back
@@ -643,19 +653,19 @@ let rec list_nth_shared_mut_loop_pair_merge_loop_back
   (decreases (list_nth_shared_mut_loop_pair_merge_loop_decreases t ls0 ls1 i))
   =
   begin match ls0 with
-  | ListCons x0 tl0 ->
+  | List_Cons x0 tl0 ->
     begin match ls1 with
-    | ListCons x1 tl1 ->
+    | List_Cons x1 tl1 ->
       if i = 0
-      then Return (ListCons ret tl1)
+      then Return (List_Cons ret tl1)
       else
         let* i0 = u32_sub i 1 in
         let* tl10 =
           list_nth_shared_mut_loop_pair_merge_loop_back t tl0 tl1 i0 ret in
-        Return (ListCons x1 tl10)
-    | ListNil -> Fail Failure
+        Return (List_Cons x1 tl10)
+    | List_Nil -> Fail Failure
     end
-  | ListNil -> Fail Failure
+  | List_Nil -> Fail Failure
   end
 
 (** [loops::list_nth_shared_mut_loop_pair_merge]: backward function 0 *)
diff --git a/tests/fstar/misc/Loops.Types.fst b/tests/fstar/misc/Loops.Types.fst
index 2e032fe7..c622c548 100644
--- a/tests/fstar/misc/Loops.Types.fst
+++ b/tests/fstar/misc/Loops.Types.fst
@@ -7,6 +7,6 @@ open Primitives
 
 (** [loops::List] *)
 type list_t (t : Type0) =
-| ListCons : t -> list_t t -> list_t t
-| ListNil : list_t t
+| List_Cons : t -> list_t t -> list_t t
+| List_Nil : list_t t
 
diff --git a/tests/fstar/misc/NoNestedBorrows.fst b/tests/fstar/misc/NoNestedBorrows.fst
index 2cdd6e21..33142250 100644
--- a/tests/fstar/misc/NoNestedBorrows.fst
+++ b/tests/fstar/misc/NoNestedBorrows.fst
@@ -6,95 +6,95 @@ open Primitives
 #set-options "--z3rlimit 50 --fuel 1 --ifuel 1"
 
 (** [no_nested_borrows::Pair] *)
-type pair_t (t1 t2 : Type0) = { pair_x : t1; pair_y : t2; }
+type pair_t (t1 t2 : Type0) = { x : t1; y : t2; }
 
 (** [no_nested_borrows::List] *)
 type list_t (t : Type0) =
-| ListCons : t -> list_t t -> list_t t
-| ListNil : list_t t
+| List_Cons : t -> list_t t -> list_t t
+| List_Nil : list_t t
 
 (** [no_nested_borrows::One] *)
-type one_t (t1 : Type0) = | OneOne : t1 -> one_t t1
+type one_t (t1 : Type0) = | One_One : t1 -> one_t t1
 
 (** [no_nested_borrows::EmptyEnum] *)
-type empty_enum_t = | EmptyEnumEmpty : empty_enum_t
+type emptyEnum_t = | EmptyEnum_Empty : emptyEnum_t
 
 (** [no_nested_borrows::Enum] *)
-type enum_t = | EnumVariant1 : enum_t | EnumVariant2 : enum_t
+type enum_t = | Enum_Variant1 : enum_t | Enum_Variant2 : enum_t
 
 (** [no_nested_borrows::EmptyStruct] *)
-type empty_struct_t = unit
+type emptyStruct_t = unit
 
 (** [no_nested_borrows::Sum] *)
 type sum_t (t1 t2 : Type0) =
-| SumLeft : t1 -> sum_t t1 t2
-| SumRight : t2 -> sum_t t1 t2
+| Sum_Left : t1 -> sum_t t1 t2
+| Sum_Right : t2 -> sum_t t1 t2
 
 (** [no_nested_borrows::neg_test]: forward function *)
-let neg_test_fwd (x : i32) : result i32 =
+let neg_test (x : i32) : result i32 =
   i32_neg x
 
 (** [no_nested_borrows::add_test]: forward function *)
-let add_test_fwd (x : u32) (y : u32) : result u32 =
+let add_test (x : u32) (y : u32) : result u32 =
   u32_add x y
 
 (** [no_nested_borrows::subs_test]: forward function *)
-let subs_test_fwd (x : u32) (y : u32) : result u32 =
+let subs_test (x : u32) (y : u32) : result u32 =
   u32_sub x y
 
 (** [no_nested_borrows::div_test]: forward function *)
-let div_test_fwd (x : u32) (y : u32) : result u32 =
+let div_test (x : u32) (y : u32) : result u32 =
   u32_div x y
 
 (** [no_nested_borrows::div_test1]: forward function *)
-let div_test1_fwd (x : u32) : result u32 =
+let div_test1 (x : u32) : result u32 =
   u32_div x 2
 
 (** [no_nested_borrows::rem_test]: forward function *)
-let rem_test_fwd (x : u32) (y : u32) : result u32 =
+let rem_test (x : u32) (y : u32) : result u32 =
   u32_rem x y
 
 (** [no_nested_borrows::cast_test]: forward function *)
-let cast_test_fwd (x : u32) : result i32 =
+let cast_test (x : u32) : result i32 =
   scalar_cast U32 I32 x
 
 (** [no_nested_borrows::test2]: forward function *)
-let test2_fwd : result unit =
+let test2 : result unit =
   let* _ = u32_add 23 44 in Return ()
 
 (** Unit test for [no_nested_borrows::test2] *)
-let _ = assert_norm (test2_fwd = Return ())
+let _ = assert_norm (test2 = Return ())
 
 (** [no_nested_borrows::get_max]: forward function *)
-let get_max_fwd (x : u32) (y : u32) : result u32 =
+let get_max (x : u32) (y : u32) : result u32 =
   if x >= y then Return x else Return y
 
 (** [no_nested_borrows::test3]: forward function *)
-let test3_fwd : result unit =
-  let* x = get_max_fwd 4 3 in
-  let* y = get_max_fwd 10 11 in
+let test3 : result unit =
+  let* x = get_max 4 3 in
+  let* y = get_max 10 11 in
   let* z = u32_add x y in
   if not (z = 15) then Fail Failure else Return ()
 
 (** Unit test for [no_nested_borrows::test3] *)
-let _ = assert_norm (test3_fwd = Return ())
+let _ = assert_norm (test3 = Return ())
 
 (** [no_nested_borrows::test_neg1]: forward function *)
-let test_neg1_fwd : result unit =
+let test_neg1 : result unit =
   let* y = i32_neg 3 in if not (y = -3) then Fail Failure else Return ()
 
 (** Unit test for [no_nested_borrows::test_neg1] *)
-let _ = assert_norm (test_neg1_fwd = Return ())
+let _ = assert_norm (test_neg1 = Return ())
 
 (** [no_nested_borrows::refs_test1]: forward function *)
-let refs_test1_fwd : result unit =
+let refs_test1 : result unit =
   if not (1 = 1) then Fail Failure else Return ()
 
 (** Unit test for [no_nested_borrows::refs_test1] *)
-let _ = assert_norm (refs_test1_fwd = Return ())
+let _ = assert_norm (refs_test1 = Return ())
 
 (** [no_nested_borrows::refs_test2]: forward function *)
-let refs_test2_fwd : result unit =
+let refs_test2 : result unit =
   if not (2 = 2)
   then Fail Failure
   else
@@ -106,76 +106,76 @@ let refs_test2_fwd : result unit =
       else if not (2 = 2) then Fail Failure else Return ()
 
 (** Unit test for [no_nested_borrows::refs_test2] *)
-let _ = assert_norm (refs_test2_fwd = Return ())
+let _ = assert_norm (refs_test2 = Return ())
 
 (** [no_nested_borrows::test_list1]: forward function *)
-let test_list1_fwd : result unit =
+let test_list1 : result unit =
   Return ()
 
 (** Unit test for [no_nested_borrows::test_list1] *)
-let _ = assert_norm (test_list1_fwd = Return ())
+let _ = assert_norm (test_list1 = Return ())
 
 (** [no_nested_borrows::test_box1]: forward function *)
-let test_box1_fwd : result unit =
+let test_box1 : result unit =
   let b = 1 in let x = b in if not (x = 1) then Fail Failure else Return ()
 
 (** Unit test for [no_nested_borrows::test_box1] *)
-let _ = assert_norm (test_box1_fwd = Return ())
+let _ = assert_norm (test_box1 = Return ())
 
 (** [no_nested_borrows::copy_int]: forward function *)
-let copy_int_fwd (x : i32) : result i32 =
+let copy_int (x : i32) : result i32 =
   Return x
 
 (** [no_nested_borrows::test_unreachable]: forward function *)
-let test_unreachable_fwd (b : bool) : result unit =
+let test_unreachable (b : bool) : result unit =
   if b then Fail Failure else Return ()
 
 (** [no_nested_borrows::test_panic]: forward function *)
-let test_panic_fwd (b : bool) : result unit =
+let test_panic (b : bool) : result unit =
   if b then Fail Failure else Return ()
 
 (** [no_nested_borrows::test_copy_int]: forward function *)
-let test_copy_int_fwd : result unit =
-  let* y = copy_int_fwd 0 in if not (0 = y) then Fail Failure else Return ()
+let test_copy_int : result unit =
+  let* y = copy_int 0 in if not (0 = y) then Fail Failure else Return ()
 
 (** Unit test for [no_nested_borrows::test_copy_int] *)
-let _ = assert_norm (test_copy_int_fwd = Return ())
+let _ = assert_norm (test_copy_int = Return ())
 
 (** [no_nested_borrows::is_cons]: forward function *)
-let is_cons_fwd (t : Type0) (l : list_t t) : result bool =
+let is_cons (t : Type0) (l : list_t t) : result bool =
   begin match l with
-  | ListCons x l0 -> Return true
-  | ListNil -> Return false
+  | List_Cons x l0 -> Return true
+  | List_Nil -> Return false
   end
 
 (** [no_nested_borrows::test_is_cons]: forward function *)
-let test_is_cons_fwd : result unit =
-  let l = ListNil in
-  let* b = is_cons_fwd i32 (ListCons 0 l) in
+let test_is_cons : result unit =
+  let l = List_Nil in
+  let* b = is_cons i32 (List_Cons 0 l) in
   if not b then Fail Failure else Return ()
 
 (** Unit test for [no_nested_borrows::test_is_cons] *)
-let _ = assert_norm (test_is_cons_fwd = Return ())
+let _ = assert_norm (test_is_cons = Return ())
 
 (** [no_nested_borrows::split_list]: forward function *)
-let split_list_fwd (t : Type0) (l : list_t t) : result (t & (list_t t)) =
+let split_list (t : Type0) (l : list_t t) : result (t & (list_t t)) =
   begin match l with
-  | ListCons hd tl -> Return (hd, tl)
-  | ListNil -> Fail Failure
+  | List_Cons hd tl -> Return (hd, tl)
+  | List_Nil -> Fail Failure
   end
 
 (** [no_nested_borrows::test_split_list]: forward function *)
-let test_split_list_fwd : result unit =
-  let l = ListNil in
-  let* p = split_list_fwd i32 (ListCons 0 l) in
+let test_split_list : result unit =
+  let l = List_Nil in
+  let* p = split_list i32 (List_Cons 0 l) in
   let (hd, _) = p in
   if not (hd = 0) then Fail Failure else Return ()
 
 (** Unit test for [no_nested_borrows::test_split_list] *)
-let _ = assert_norm (test_split_list_fwd = Return ())
+let _ = assert_norm (test_split_list = Return ())
 
 (** [no_nested_borrows::choose]: forward function *)
-let choose_fwd (t : Type0) (b : bool) (x : t) (y : t) : result t =
+let choose (t : Type0) (b : bool) (x : t) (y : t) : result t =
   if b then Return x else Return y
 
 (** [no_nested_borrows::choose]: backward function 0 *)
@@ -184,8 +184,8 @@ let choose_back
   if b then Return (ret, y) else Return (x, ret)
 
 (** [no_nested_borrows::choose_test]: forward function *)
-let choose_test_fwd : result unit =
-  let* z = choose_fwd i32 true 0 0 in
+let choose_test : result unit =
+  let* z = choose i32 true 0 0 in
   let* z0 = i32_add z 1 in
   if not (z0 = 1)
   then Fail Failure
@@ -196,115 +196,112 @@ let choose_test_fwd : result unit =
     else if not (y = 0) then Fail Failure else Return ()
 
 (** Unit test for [no_nested_borrows::choose_test] *)
-let _ = assert_norm (choose_test_fwd = Return ())
+let _ = assert_norm (choose_test = Return ())
 
 (** [no_nested_borrows::test_char]: forward function *)
-let test_char_fwd : result char =
+let test_char : result char =
   Return 'a'
 
 (** [no_nested_borrows::Tree] *)
 type tree_t (t : Type0) =
-| TreeLeaf : t -> tree_t t
-| TreeNode : t -> node_elem_t t -> tree_t t -> tree_t t
+| Tree_Leaf : t -> tree_t t
+| Tree_Node : t -> nodeElem_t t -> tree_t t -> tree_t t
 
 (** [no_nested_borrows::NodeElem] *)
-and node_elem_t (t : Type0) =
-| NodeElemCons : tree_t t -> node_elem_t t -> node_elem_t t
-| NodeElemNil : node_elem_t t
+and nodeElem_t (t : Type0) =
+| NodeElem_Cons : tree_t t -> nodeElem_t t -> nodeElem_t t
+| NodeElem_Nil : nodeElem_t t
 
 (** [no_nested_borrows::list_length]: forward function *)
-let rec list_length_fwd (t : Type0) (l : list_t t) : result u32 =
+let rec list_length (t : Type0) (l : list_t t) : result u32 =
   begin match l with
-  | ListCons x l1 -> let* i = list_length_fwd t l1 in u32_add 1 i
-  | ListNil -> Return 0
+  | List_Cons x l1 -> let* i = list_length t l1 in u32_add 1 i
+  | List_Nil -> Return 0
   end
 
 (** [no_nested_borrows::list_nth_shared]: forward function *)
-let rec list_nth_shared_fwd (t : Type0) (l : list_t t) (i : u32) : result t =
+let rec list_nth_shared (t : Type0) (l : list_t t) (i : u32) : result t =
   begin match l with
-  | ListCons x tl ->
+  | List_Cons x tl ->
     if i = 0
     then Return x
-    else let* i0 = u32_sub i 1 in list_nth_shared_fwd t tl i0
-  | ListNil -> Fail Failure
+    else let* i0 = u32_sub i 1 in list_nth_shared t tl i0
+  | List_Nil -> Fail Failure
   end
 
 (** [no_nested_borrows::list_nth_mut]: forward function *)
-let rec list_nth_mut_fwd (t : Type0) (l : list_t t) (i : u32) : result t =
+let rec list_nth_mut (t : Type0) (l : list_t t) (i : u32) : result t =
   begin match l with
-  | ListCons x tl ->
-    if i = 0
-    then Return x
-    else let* i0 = u32_sub i 1 in list_nth_mut_fwd t tl i0
-  | ListNil -> Fail Failure
+  | List_Cons x tl ->
+    if i = 0 then Return x else let* i0 = u32_sub i 1 in list_nth_mut t tl i0
+  | List_Nil -> Fail Failure
   end
 
 (** [no_nested_borrows::list_nth_mut]: backward function 0 *)
 let rec list_nth_mut_back
   (t : Type0) (l : list_t t) (i : u32) (ret : t) : result (list_t t) =
   begin match l with
-  | ListCons x tl ->
+  | List_Cons x tl ->
     if i = 0
-    then Return (ListCons ret tl)
+    then Return (List_Cons ret tl)
     else
       let* i0 = u32_sub i 1 in
       let* tl0 = list_nth_mut_back t tl i0 ret in
-      Return (ListCons x tl0)
-  | ListNil -> Fail Failure
+      Return (List_Cons x tl0)
+  | List_Nil -> Fail Failure
   end
 
 (** [no_nested_borrows::list_rev_aux]: forward function *)
-let rec list_rev_aux_fwd
+let rec list_rev_aux
   (t : Type0) (li : list_t t) (lo : list_t t) : result (list_t t) =
   begin match li with
-  | ListCons hd tl -> list_rev_aux_fwd t tl (ListCons hd lo)
-  | ListNil -> Return lo
+  | List_Cons hd tl -> list_rev_aux t tl (List_Cons hd lo)
+  | List_Nil -> Return lo
   end
 
 (** [no_nested_borrows::list_rev]: merged forward/backward function
     (there is a single backward function, and the forward function returns ()) *)
-let list_rev_fwd_back (t : Type0) (l : list_t t) : result (list_t t) =
-  let li = mem_replace_fwd (list_t t) l ListNil in
-  list_rev_aux_fwd t li ListNil
+let list_rev (t : Type0) (l : list_t t) : result (list_t t) =
+  let li = core_mem_replace (list_t t) l List_Nil in list_rev_aux t li List_Nil
 
 (** [no_nested_borrows::test_list_functions]: forward function *)
-let test_list_functions_fwd : result unit =
-  let l = ListNil in
-  let l0 = ListCons 2 l in
-  let l1 = ListCons 1 l0 in
-  let* i = list_length_fwd i32 (ListCons 0 l1) in
+let test_list_functions : result unit =
+  let l = List_Nil in
+  let l0 = List_Cons 2 l in
+  let l1 = List_Cons 1 l0 in
+  let* i = list_length i32 (List_Cons 0 l1) in
   if not (i = 3)
   then Fail Failure
   else
-    let* i0 = list_nth_shared_fwd i32 (ListCons 0 l1) 0 in
+    let* i0 = list_nth_shared i32 (List_Cons 0 l1) 0 in
     if not (i0 = 0)
     then Fail Failure
     else
-      let* i1 = list_nth_shared_fwd i32 (ListCons 0 l1) 1 in
+      let* i1 = list_nth_shared i32 (List_Cons 0 l1) 1 in
       if not (i1 = 1)
       then Fail Failure
       else
-        let* i2 = list_nth_shared_fwd i32 (ListCons 0 l1) 2 in
+        let* i2 = list_nth_shared i32 (List_Cons 0 l1) 2 in
         if not (i2 = 2)
         then Fail Failure
         else
-          let* ls = list_nth_mut_back i32 (ListCons 0 l1) 1 3 in
-          let* i3 = list_nth_shared_fwd i32 ls 0 in
+          let* ls = list_nth_mut_back i32 (List_Cons 0 l1) 1 3 in
+          let* i3 = list_nth_shared i32 ls 0 in
           if not (i3 = 0)
           then Fail Failure
           else
-            let* i4 = list_nth_shared_fwd i32 ls 1 in
+            let* i4 = list_nth_shared i32 ls 1 in
             if not (i4 = 3)
             then Fail Failure
             else
-              let* i5 = list_nth_shared_fwd i32 ls 2 in
+              let* i5 = list_nth_shared i32 ls 2 in
               if not (i5 = 2) then Fail Failure else Return ()
 
 (** Unit test for [no_nested_borrows::test_list_functions] *)
-let _ = assert_norm (test_list_functions_fwd = Return ())
+let _ = assert_norm (test_list_functions = Return ())
 
 (** [no_nested_borrows::id_mut_pair1]: forward function *)
-let id_mut_pair1_fwd (t1 t2 : Type0) (x : t1) (y : t2) : result (t1 & t2) =
+let id_mut_pair1 (t1 t2 : Type0) (x : t1) (y : t2) : result (t1 & t2) =
   Return (x, y)
 
 (** [no_nested_borrows::id_mut_pair1]: backward function 0 *)
@@ -313,7 +310,7 @@ let id_mut_pair1_back
   let (x0, x1) = ret in Return (x0, x1)
 
 (** [no_nested_borrows::id_mut_pair2]: forward function *)
-let id_mut_pair2_fwd (t1 t2 : Type0) (p : (t1 & t2)) : result (t1 & t2) =
+let id_mut_pair2 (t1 t2 : Type0) (p : (t1 & t2)) : result (t1 & t2) =
   let (x, x0) = p in Return (x, x0)
 
 (** [no_nested_borrows::id_mut_pair2]: backward function 0 *)
@@ -322,7 +319,7 @@ let id_mut_pair2_back
   let (x, x0) = ret in Return (x, x0)
 
 (** [no_nested_borrows::id_mut_pair3]: forward function *)
-let id_mut_pair3_fwd (t1 t2 : Type0) (x : t1) (y : t2) : result (t1 & t2) =
+let id_mut_pair3 (t1 t2 : Type0) (x : t1) (y : t2) : result (t1 & t2) =
   Return (x, y)
 
 (** [no_nested_borrows::id_mut_pair3]: backward function 0 *)
@@ -336,7 +333,7 @@ let id_mut_pair3_back'b
   Return ret
 
 (** [no_nested_borrows::id_mut_pair4]: forward function *)
-let id_mut_pair4_fwd (t1 t2 : Type0) (p : (t1 & t2)) : result (t1 & t2) =
+let id_mut_pair4 (t1 t2 : Type0) (p : (t1 & t2)) : result (t1 & t2) =
   let (x, x0) = p in Return (x, x0)
 
 (** [no_nested_borrows::id_mut_pair4]: backward function 0 *)
@@ -350,81 +347,76 @@ let id_mut_pair4_back'b
   Return ret
 
 (** [no_nested_borrows::StructWithTuple] *)
-type struct_with_tuple_t (t1 t2 : Type0) = { struct_with_tuple_p : (t1 & t2); }
+type structWithTuple_t (t1 t2 : Type0) = { p : (t1 & t2); }
 
 (** [no_nested_borrows::new_tuple1]: forward function *)
-let new_tuple1_fwd : result (struct_with_tuple_t u32 u32) =
-  Return { struct_with_tuple_p = (1, 2) }
+let new_tuple1 : result (structWithTuple_t u32 u32) =
+  Return { p = (1, 2) }
 
 (** [no_nested_borrows::new_tuple2]: forward function *)
-let new_tuple2_fwd : result (struct_with_tuple_t i16 i16) =
-  Return { struct_with_tuple_p = (1, 2) }
+let new_tuple2 : result (structWithTuple_t i16 i16) =
+  Return { p = (1, 2) }
 
 (** [no_nested_borrows::new_tuple3]: forward function *)
-let new_tuple3_fwd : result (struct_with_tuple_t u64 i64) =
-  Return { struct_with_tuple_p = (1, 2) }
+let new_tuple3 : result (structWithTuple_t u64 i64) =
+  Return { p = (1, 2) }
 
 (** [no_nested_borrows::StructWithPair] *)
-type struct_with_pair_t (t1 t2 : Type0) =
-{
-  struct_with_pair_p : pair_t t1 t2;
-}
+type structWithPair_t (t1 t2 : Type0) = { p : pair_t t1 t2; }
 
 (** [no_nested_borrows::new_pair1]: forward function *)
-let new_pair1_fwd : result (struct_with_pair_t u32 u32) =
-  Return { struct_with_pair_p = { pair_x = 1; pair_y = 2 } }
+let new_pair1 : result (structWithPair_t u32 u32) =
+  Return { p = { x = 1; y = 2 } }
 
 (** [no_nested_borrows::test_constants]: forward function *)
-let test_constants_fwd : result unit =
-  let* swt = new_tuple1_fwd in
-  let (i, _) = swt.struct_with_tuple_p in
+let test_constants : result unit =
+  let* swt = new_tuple1 in
+  let (i, _) = swt.p in
   if not (i = 1)
   then Fail Failure
   else
-    let* swt0 = new_tuple2_fwd in
-    let (i0, _) = swt0.struct_with_tuple_p in
+    let* swt0 = new_tuple2 in
+    let (i0, _) = swt0.p in
     if not (i0 = 1)
     then Fail Failure
     else
-      let* swt1 = new_tuple3_fwd in
-      let (i1, _) = swt1.struct_with_tuple_p in
+      let* swt1 = new_tuple3 in
+      let (i1, _) = swt1.p in
       if not (i1 = 1)
       then Fail Failure
       else
-        let* swp = new_pair1_fwd in
-        if not (swp.struct_with_pair_p.pair_x = 1)
-        then Fail Failure
-        else Return ()
+        let* swp = new_pair1 in
+        if not (swp.p.x = 1) then Fail Failure else Return ()
 
 (** Unit test for [no_nested_borrows::test_constants] *)
-let _ = assert_norm (test_constants_fwd = Return ())
+let _ = assert_norm (test_constants = Return ())
 
 (** [no_nested_borrows::test_weird_borrows1]: forward function *)
-let test_weird_borrows1_fwd : result unit =
+let test_weird_borrows1 : result unit =
   Return ()
 
 (** Unit test for [no_nested_borrows::test_weird_borrows1] *)
-let _ = assert_norm (test_weird_borrows1_fwd = Return ())
+let _ = assert_norm (test_weird_borrows1 = Return ())
 
 (** [no_nested_borrows::test_mem_replace]: merged forward/backward function
     (there is a single backward function, and the forward function returns ()) *)
-let test_mem_replace_fwd_back (px : u32) : result u32 =
-  let y = mem_replace_fwd u32 px 1 in
+let test_mem_replace (px : u32) : result u32 =
+  let y = core_mem_replace u32 px 1 in
   if not (y = 0) then Fail Failure else Return 2
 
 (** [no_nested_borrows::test_shared_borrow_bool1]: forward function *)
-let test_shared_borrow_bool1_fwd (b : bool) : result u32 =
+let test_shared_borrow_bool1 (b : bool) : result u32 =
   if b then Return 0 else Return 1
 
 (** [no_nested_borrows::test_shared_borrow_bool2]: forward function *)
-let test_shared_borrow_bool2_fwd : result u32 =
+let test_shared_borrow_bool2 : result u32 =
   Return 0
 
 (** [no_nested_borrows::test_shared_borrow_enum1]: forward function *)
-let test_shared_borrow_enum1_fwd (l : list_t u32) : result u32 =
-  begin match l with | ListCons i l0 -> Return 1 | ListNil -> Return 0 end
+let test_shared_borrow_enum1 (l : list_t u32) : result u32 =
+  begin match l with | List_Cons i l0 -> Return 1 | List_Nil -> Return 0 end
 
 (** [no_nested_borrows::test_shared_borrow_enum2]: forward function *)
-let test_shared_borrow_enum2_fwd : result u32 =
+let test_shared_borrow_enum2 : result u32 =
   Return 0
 
diff --git a/tests/fstar/misc/Paper.fst b/tests/fstar/misc/Paper.fst
index e2d692c2..bfb710dc 100644
--- a/tests/fstar/misc/Paper.fst
+++ b/tests/fstar/misc/Paper.fst
@@ -7,19 +7,18 @@ open Primitives
 
 (** [paper::ref_incr]: merged forward/backward function
     (there is a single backward function, and the forward function returns ()) *)
-let ref_incr_fwd_back (x : i32) : result i32 =
+let ref_incr (x : i32) : result i32 =
   i32_add x 1
 
 (** [paper::test_incr]: forward function *)
-let test_incr_fwd : result unit =
-  let* x = ref_incr_fwd_back 0 in
-  if not (x = 1) then Fail Failure else Return ()
+let test_incr : result unit =
+  let* x = ref_incr 0 in if not (x = 1) then Fail Failure else Return ()
 
 (** Unit test for [paper::test_incr] *)
-let _ = assert_norm (test_incr_fwd = Return ())
+let _ = assert_norm (test_incr = Return ())
 
 (** [paper::choose]: forward function *)
-let choose_fwd (t : Type0) (b : bool) (x : t) (y : t) : result t =
+let choose (t : Type0) (b : bool) (x : t) (y : t) : result t =
   if b then Return x else Return y
 
 (** [paper::choose]: backward function 0 *)
@@ -28,8 +27,8 @@ let choose_back
   if b then Return (ret, y) else Return (x, ret)
 
 (** [paper::test_choose]: forward function *)
-let test_choose_fwd : result unit =
-  let* z = choose_fwd i32 true 0 0 in
+let test_choose : result unit =
+  let* z = choose i32 true 0 0 in
   let* z0 = i32_add z 1 in
   if not (z0 = 1)
   then Fail Failure
@@ -40,62 +39,60 @@ let test_choose_fwd : result unit =
     else if not (y = 0) then Fail Failure else Return ()
 
 (** Unit test for [paper::test_choose] *)
-let _ = assert_norm (test_choose_fwd = Return ())
+let _ = assert_norm (test_choose = Return ())
 
 (** [paper::List] *)
 type list_t (t : Type0) =
-| ListCons : t -> list_t t -> list_t t
-| ListNil : list_t t
+| List_Cons : t -> list_t t -> list_t t
+| List_Nil : list_t t
 
 (** [paper::list_nth_mut]: forward function *)
-let rec list_nth_mut_fwd (t : Type0) (l : list_t t) (i : u32) : result t =
+let rec list_nth_mut (t : Type0) (l : list_t t) (i : u32) : result t =
   begin match l with
-  | ListCons x tl ->
-    if i = 0
-    then Return x
-    else let* i0 = u32_sub i 1 in list_nth_mut_fwd t tl i0
-  | ListNil -> Fail Failure
+  | List_Cons x tl ->
+    if i = 0 then Return x else let* i0 = u32_sub i 1 in list_nth_mut t tl i0
+  | List_Nil -> Fail Failure
   end
 
 (** [paper::list_nth_mut]: backward function 0 *)
 let rec list_nth_mut_back
   (t : Type0) (l : list_t t) (i : u32) (ret : t) : result (list_t t) =
   begin match l with
-  | ListCons x tl ->
+  | List_Cons x tl ->
     if i = 0
-    then Return (ListCons ret tl)
+    then Return (List_Cons ret tl)
     else
       let* i0 = u32_sub i 1 in
       let* tl0 = list_nth_mut_back t tl i0 ret in
-      Return (ListCons x tl0)
-  | ListNil -> Fail Failure
+      Return (List_Cons x tl0)
+  | List_Nil -> Fail Failure
   end
 
 (** [paper::sum]: forward function *)
-let rec sum_fwd (l : list_t i32) : result i32 =
+let rec sum (l : list_t i32) : result i32 =
   begin match l with
-  | ListCons x tl -> let* i = sum_fwd tl in i32_add x i
-  | ListNil -> Return 0
+  | List_Cons x tl -> let* i = sum tl in i32_add x i
+  | List_Nil -> Return 0
   end
 
 (** [paper::test_nth]: forward function *)
-let test_nth_fwd : result unit =
-  let l = ListNil in
-  let l0 = ListCons 3 l in
-  let l1 = ListCons 2 l0 in
-  let* x = list_nth_mut_fwd i32 (ListCons 1 l1) 2 in
+let test_nth : result unit =
+  let l = List_Nil in
+  let l0 = List_Cons 3 l in
+  let l1 = List_Cons 2 l0 in
+  let* x = list_nth_mut i32 (List_Cons 1 l1) 2 in
   let* x0 = i32_add x 1 in
-  let* l2 = list_nth_mut_back i32 (ListCons 1 l1) 2 x0 in
-  let* i = sum_fwd l2 in
+  let* l2 = list_nth_mut_back i32 (List_Cons 1 l1) 2 x0 in
+  let* i = sum l2 in
   if not (i = 7) then Fail Failure else Return ()
 
 (** Unit test for [paper::test_nth] *)
-let _ = assert_norm (test_nth_fwd = Return ())
+let _ = assert_norm (test_nth = Return ())
 
 (** [paper::call_choose]: forward function *)
-let call_choose_fwd (p : (u32 & u32)) : result u32 =
+let call_choose (p : (u32 & u32)) : result u32 =
   let (px, py) = p in
-  let* pz = choose_fwd u32 true px py in
+  let* pz = choose u32 true px py in
   let* pz0 = u32_add pz 1 in
   let* (px0, _) = choose_back u32 true px py pz0 in
   Return px0
diff --git a/tests/fstar/misc/PoloniusList.fst b/tests/fstar/misc/PoloniusList.fst
index 79c86606..428c4210 100644
--- a/tests/fstar/misc/PoloniusList.fst
+++ b/tests/fstar/misc/PoloniusList.fst
@@ -7,25 +7,25 @@ open Primitives
 
 (** [polonius_list::List] *)
 type list_t (t : Type0) =
-| ListCons : t -> list_t t -> list_t t
-| ListNil : list_t t
+| List_Cons : t -> list_t t -> list_t t
+| List_Nil : list_t t
 
 (** [polonius_list::get_list_at_x]: forward function *)
-let rec get_list_at_x_fwd (ls : list_t u32) (x : u32) : result (list_t u32) =
+let rec get_list_at_x (ls : list_t u32) (x : u32) : result (list_t u32) =
   begin match ls with
-  | ListCons hd tl ->
-    if hd = x then Return (ListCons hd tl) else get_list_at_x_fwd tl x
-  | ListNil -> Return ListNil
+  | List_Cons hd tl ->
+    if hd = x then Return (List_Cons hd tl) else get_list_at_x tl x
+  | List_Nil -> Return List_Nil
   end
 
 (** [polonius_list::get_list_at_x]: backward function 0 *)
 let rec get_list_at_x_back
   (ls : list_t u32) (x : u32) (ret : list_t u32) : result (list_t u32) =
   begin match ls with
-  | ListCons hd tl ->
+  | List_Cons hd tl ->
     if hd = x
     then Return ret
-    else let* tl0 = get_list_at_x_back tl x ret in Return (ListCons hd tl0)
-  | ListNil -> Return ret
+    else let* tl0 = get_list_at_x_back tl x ret in Return (List_Cons hd tl0)
+  | List_Nil -> Return ret
   end
 
diff --git a/tests/fstar/misc/Primitives.fst b/tests/fstar/misc/Primitives.fst
index 5e154122..71d75c11 100644
--- a/tests/fstar/misc/Primitives.fst
+++ b/tests/fstar/misc/Primitives.fst
@@ -55,8 +55,8 @@ type string = string
 let is_zero (n: nat) : bool = n = 0
 let decrease (n: nat{n > 0}) : nat = n - 1
 
-let std_mem_replace (a : Type0) (x : a) (y : a) : a = x
-let std_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 }
@@ -426,6 +426,13 @@ type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max}
 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) (x : a) : 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 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) :
@@ -694,3 +701,13 @@ let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0)
   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_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()