Merge pull request #46 from AeneasVerif/son_improves

Minor improvements for the extraction

30 files changed, 274 insertions, 63 deletions

diff --git a/tests/coq/array/Array.v b/tests/coq/array/Array.v
index 99ff3b03..105ce21f 100644
--- a/tests/coq/array/Array.v
+++ b/tests/coq/array/Array.v
@@ -528,4 +528,4 @@ Definition ite : result unit :=
   Return tt
 .
 
-End Array .
+End Array.
diff --git a/tests/coq/betree/BetreeMain_Funs.v b/tests/coq/betree/BetreeMain_Funs.v
index 8e48b17d..aadaa20d 100644
--- a/tests/coq/betree/BetreeMain_Funs.v
+++ b/tests/coq/betree/BetreeMain_Funs.v
@@ -6,10 +6,10 @@ Require Import Coq.ZArith.ZArith.
 Require Import List.
 Import ListNotations.
 Local Open Scope Primitives_scope.
-Require Export BetreeMain_Types.
-Import BetreeMain_Types.
-Require Export BetreeMain_Opaque.
-Import BetreeMain_Opaque.
+Require Import BetreeMain_Types.
+Include BetreeMain_Types.
+Require Import BetreeMain_FunsExternal.
+Include BetreeMain_FunsExternal.
 Module BetreeMain_Funs.
 
 (** [betree_main::betree::load_internal_node]: forward function
@@ -1230,4 +1230,4 @@ Definition main : result unit :=
 (** Unit test for [betree_main::main] *)
 Check (main )%return.
 
-End BetreeMain_Funs .
+End BetreeMain_Funs.
diff --git a/tests/coq/betree/BetreeMain_Opaque.v b/tests/coq/betree/BetreeMain_FunsExternal.v
index a065c8a3..07dba263 100644
--- a/tests/coq/betree/BetreeMain_Opaque.v
+++ b/tests/coq/betree/BetreeMain_FunsExternal.v
@@ -1,5 +1,6 @@
 (** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
-(** [betree_main]: external function declarations *)
+(** [betree_main]: external functions.
+-- This is a template file: rename it to "FunsExternal.lean" and fill the holes. *)
 Require Import Primitives.
 Import Primitives.
 Require Import Coq.ZArith.ZArith.
@@ -8,7 +9,7 @@ Import ListNotations.
 Local Open Scope Primitives_scope.
 Require Export BetreeMain_Types.
 Import BetreeMain_Types.
-Module BetreeMain_Opaque.
+Module BetreeMain_FunsExternal.
 
 (** [betree_main::betree_utils::load_internal_node]: forward function
     Source: 'src/betree_utils.rs', lines 98:0-98:63 *)
@@ -42,4 +43,4 @@ Axiom core_option_Option_unwrap :
   forall(T : Type), option T -> state -> result (state * T)
 .
 
-End BetreeMain_Opaque .
+End BetreeMain_FunsExternal.
diff --git a/tests/coq/betree/BetreeMain_FunsExternal_Template.v b/tests/coq/betree/BetreeMain_FunsExternal_Template.v
new file mode 100644
index 00000000..36022a20
--- /dev/null
+++ b/tests/coq/betree/BetreeMain_FunsExternal_Template.v
@@ -0,0 +1,46 @@
+(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
+(** [betree_main]: external functions.
+-- This is a template file: rename it to "FunsExternal.lean" and fill the holes. *)
+Require Import Primitives.
+Import Primitives.
+Require Import Coq.ZArith.ZArith.
+Require Import List.
+Import ListNotations.
+Local Open Scope Primitives_scope.
+Require Import BetreeMain_Types.
+Include BetreeMain_Types.
+Module BetreeMain_FunsExternal_Template.
+
+(** [betree_main::betree_utils::load_internal_node]: forward function
+    Source: 'src/betree_utils.rs', lines 98:0-98:63 *)
+Axiom betree_utils_load_internal_node
+  : u64 -> state -> result (state * (betree_List_t (u64 * betree_Message_t)))
+.
+
+(** [betree_main::betree_utils::store_internal_node]: forward function
+    Source: 'src/betree_utils.rs', lines 115:0-115:71 *)
+Axiom betree_utils_store_internal_node
+  :
+  u64 -> betree_List_t (u64 * betree_Message_t) -> state -> result (state *
+    unit)
+.
+
+(** [betree_main::betree_utils::load_leaf_node]: forward function
+    Source: 'src/betree_utils.rs', lines 132:0-132:55 *)
+Axiom betree_utils_load_leaf_node
+  : u64 -> state -> result (state * (betree_List_t (u64 * u64)))
+.
+
+(** [betree_main::betree_utils::store_leaf_node]: forward function
+    Source: 'src/betree_utils.rs', lines 145:0-145:63 *)
+Axiom betree_utils_store_leaf_node
+  : u64 -> betree_List_t (u64 * u64) -> state -> result (state * unit)
+.
+
+(** [core::option::{core::option::Option<T>}::unwrap]: forward function
+    Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/option.rs', lines 932:4-932:34 *)
+Axiom core_option_Option_unwrap :
+  forall(T : Type), option T -> state -> result (state * T)
+.
+
+End BetreeMain_FunsExternal_Template.
diff --git a/tests/coq/betree/BetreeMain_Types.v b/tests/coq/betree/BetreeMain_Types.v
index b729d1c3..22989256 100644
--- a/tests/coq/betree/BetreeMain_Types.v
+++ b/tests/coq/betree/BetreeMain_Types.v
@@ -6,6 +6,8 @@ Require Import Coq.ZArith.ZArith.
 Require Import List.
 Import ListNotations.
 Local Open Scope Primitives_scope.
+Require Import BetreeMain_TypesExternal.
+Include BetreeMain_TypesExternal.
 Module BetreeMain_Types.
 
 (** [betree_main::betree::List]
@@ -113,7 +115,4 @@ mkbetree_BeTree_t {
 }
 .
 
-(** The state type used in the state-error monad *)
-Axiom state : Type.
-
-End BetreeMain_Types .
+End BetreeMain_Types.
diff --git a/tests/coq/betree/BetreeMain_TypesExternal.v b/tests/coq/betree/BetreeMain_TypesExternal.v
new file mode 100644
index 00000000..50c4a4f8
--- /dev/null
+++ b/tests/coq/betree/BetreeMain_TypesExternal.v
@@ -0,0 +1,15 @@
+(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
+(** [betree_main]: external types.
+-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. *)
+Require Import Primitives.
+Import Primitives.
+Require Import Coq.ZArith.ZArith.
+Require Import List.
+Import ListNotations.
+Local Open Scope Primitives_scope.
+Module BetreeMain_TypesExternal.
+
+(** The state type used in the state-error monad *)
+Axiom state : Type.
+
+End BetreeMain_TypesExternal.
diff --git a/tests/coq/betree/BetreeMain_TypesExternal_Template.v b/tests/coq/betree/BetreeMain_TypesExternal_Template.v
new file mode 100644
index 00000000..651de2b7
--- /dev/null
+++ b/tests/coq/betree/BetreeMain_TypesExternal_Template.v
@@ -0,0 +1,15 @@
+(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
+(** [betree_main]: external types.
+-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. *)
+Require Import Primitives.
+Import Primitives.
+Require Import Coq.ZArith.ZArith.
+Require Import List.
+Import ListNotations.
+Local Open Scope Primitives_scope.
+Module BetreeMain_TypesExternal_Template.
+
+(** The state type used in the state-error monad *)
+Axiom state : Type.
+
+End BetreeMain_TypesExternal_Template.
diff --git a/tests/coq/betree/_CoqProject b/tests/coq/betree/_CoqProject
index 42c62421..13e4b9c1 100644
--- a/tests/coq/betree/_CoqProject
+++ b/tests/coq/betree/_CoqProject
@@ -4,6 +4,9 @@
 -arg all
 
 BetreeMain_Types.v
+BetreeMain_TypesExternal_Template.v
 Primitives.v
+BetreeMain_FunsExternal_Template.v
 BetreeMain_Funs.v
-BetreeMain_Opaque.v
+BetreeMain_TypesExternal.v
+BetreeMain_FunsExternal.v
diff --git a/tests/coq/hashmap/Hashmap_Funs.v b/tests/coq/hashmap/Hashmap_Funs.v
index c08f7f7d..64de44a6 100644
--- a/tests/coq/hashmap/Hashmap_Funs.v
+++ b/tests/coq/hashmap/Hashmap_Funs.v
@@ -6,8 +6,8 @@ Require Import Coq.ZArith.ZArith.
 Require Import List.
 Import ListNotations.
 Local Open Scope Primitives_scope.
-Require Export Hashmap_Types.
-Import Hashmap_Types.
+Require Import Hashmap_Types.
+Include Hashmap_Types.
 Module Hashmap_Funs.
 
 (** [hashmap::hash_key]: forward function
@@ -668,4 +668,4 @@ Definition test1 (n : nat) : result unit :=
       end))
 .
 
-End Hashmap_Funs .
+End Hashmap_Funs.
diff --git a/tests/coq/hashmap/Hashmap_Types.v b/tests/coq/hashmap/Hashmap_Types.v
index bfb5ae4b..80a43593 100644
--- a/tests/coq/hashmap/Hashmap_Types.v
+++ b/tests/coq/hashmap/Hashmap_Types.v
@@ -35,4 +35,4 @@ Arguments hashMap_max_load_factor { _ }.
 Arguments hashMap_max_load { _ }.
 Arguments hashMap_slots { _ }.
 
-End Hashmap_Types .
+End Hashmap_Types.
diff --git a/tests/coq/hashmap_on_disk/HashmapMain_Funs.v b/tests/coq/hashmap_on_disk/HashmapMain_Funs.v
index 46d3ee29..faba0afe 100644
--- a/tests/coq/hashmap_on_disk/HashmapMain_Funs.v
+++ b/tests/coq/hashmap_on_disk/HashmapMain_Funs.v
@@ -6,10 +6,10 @@ Require Import Coq.ZArith.ZArith.
 Require Import List.
 Import ListNotations.
 Local Open Scope Primitives_scope.
-Require Export HashmapMain_Types.
-Import HashmapMain_Types.
-Require Export HashmapMain_Opaque.
-Import HashmapMain_Opaque.
+Require Import HashmapMain_Types.
+Include HashmapMain_Types.
+Require Import HashmapMain_FunsExternal.
+Include HashmapMain_FunsExternal.
 Module HashmapMain_Funs.
 
 (** [hashmap_main::hashmap::hash_key]: forward function
@@ -717,4 +717,4 @@ Definition insert_on_disk
 Definition main : result unit :=
   Return tt.
 
-End HashmapMain_Funs .
+End HashmapMain_Funs.
diff --git a/tests/coq/hashmap_on_disk/HashmapMain_Opaque.v b/tests/coq/hashmap_on_disk/HashmapMain_FunsExternal.v
index a0e9003d..a03dc407 100644
--- a/tests/coq/hashmap_on_disk/HashmapMain_Opaque.v
+++ b/tests/coq/hashmap_on_disk/HashmapMain_FunsExternal.v
@@ -8,7 +8,7 @@ Import ListNotations.
 Local Open Scope Primitives_scope.
 Require Export HashmapMain_Types.
 Import HashmapMain_Types.
-Module HashmapMain_Opaque.
+Module HashmapMain_FunsExternal.
 
 (** [hashmap_main::hashmap_utils::deserialize]: forward function
     Source: 'src/hashmap_utils.rs', lines 10:0-10:43 *)
@@ -22,4 +22,4 @@ Axiom hashmap_utils_serialize
   : hashmap_HashMap_t u64 -> state -> result (state * unit)
 .
 
-End HashmapMain_Opaque .
+End HashmapMain_FunsExternal.
diff --git a/tests/coq/hashmap_on_disk/HashmapMain_FunsExternal_Template.v b/tests/coq/hashmap_on_disk/HashmapMain_FunsExternal_Template.v
new file mode 100644
index 00000000..e10d02f6
--- /dev/null
+++ b/tests/coq/hashmap_on_disk/HashmapMain_FunsExternal_Template.v
@@ -0,0 +1,26 @@
+(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
+(** [hashmap_main]: external functions.
+-- This is a template file: rename it to "FunsExternal.lean" and fill the holes. *)
+Require Import Primitives.
+Import Primitives.
+Require Import Coq.ZArith.ZArith.
+Require Import List.
+Import ListNotations.
+Local Open Scope Primitives_scope.
+Require Import HashmapMain_Types.
+Include HashmapMain_Types.
+Module HashmapMain_FunsExternal_Template.
+
+(** [hashmap_main::hashmap_utils::deserialize]: forward function
+    Source: 'src/hashmap_utils.rs', lines 10:0-10:43 *)
+Axiom hashmap_utils_deserialize
+  : state -> result (state * (hashmap_HashMap_t u64))
+.
+
+(** [hashmap_main::hashmap_utils::serialize]: forward function
+    Source: 'src/hashmap_utils.rs', lines 5:0-5:42 *)
+Axiom hashmap_utils_serialize
+  : hashmap_HashMap_t u64 -> state -> result (state * unit)
+.
+
+End HashmapMain_FunsExternal_Template.
diff --git a/tests/coq/hashmap_on_disk/HashmapMain_Types.v b/tests/coq/hashmap_on_disk/HashmapMain_Types.v
index 039b7e72..8d3d72aa 100644
--- a/tests/coq/hashmap_on_disk/HashmapMain_Types.v
+++ b/tests/coq/hashmap_on_disk/HashmapMain_Types.v
@@ -6,6 +6,8 @@ Require Import Coq.ZArith.ZArith.
 Require Import List.
 Import ListNotations.
 Local Open Scope Primitives_scope.
+Require Import HashmapMain_TypesExternal.
+Include HashmapMain_TypesExternal.
 Module HashmapMain_Types.
 
 (** [hashmap_main::hashmap::List]
@@ -35,7 +37,4 @@ Arguments hashmap_HashMap_max_load_factor { _ }.
 Arguments hashmap_HashMap_max_load { _ }.
 Arguments hashmap_HashMap_slots { _ }.
 
-(** The state type used in the state-error monad *)
-Axiom state : Type.
-
-End HashmapMain_Types .
+End HashmapMain_Types.
diff --git a/tests/coq/hashmap_on_disk/HashmapMain_TypesExternal.v b/tests/coq/hashmap_on_disk/HashmapMain_TypesExternal.v
new file mode 100644
index 00000000..87568232
--- /dev/null
+++ b/tests/coq/hashmap_on_disk/HashmapMain_TypesExternal.v
@@ -0,0 +1,15 @@
+(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
+(** [hashmap_main]: external types.
+-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. *)
+Require Import Primitives.
+Import Primitives.
+Require Import Coq.ZArith.ZArith.
+Require Import List.
+Import ListNotations.
+Local Open Scope Primitives_scope.
+Module HashmapMain_TypesExternal.
+
+(** The state type used in the state-error monad *)
+Axiom state : Type.
+
+End HashmapMain_TypesExternal.
diff --git a/tests/coq/hashmap_on_disk/HashmapMain_TypesExternal_Template.v b/tests/coq/hashmap_on_disk/HashmapMain_TypesExternal_Template.v
new file mode 100644
index 00000000..391b2775
--- /dev/null
+++ b/tests/coq/hashmap_on_disk/HashmapMain_TypesExternal_Template.v
@@ -0,0 +1,15 @@
+(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
+(** [hashmap_main]: external types.
+-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. *)
+Require Import Primitives.
+Import Primitives.
+Require Import Coq.ZArith.ZArith.
+Require Import List.
+Import ListNotations.
+Local Open Scope Primitives_scope.
+Module HashmapMain_TypesExternal_Template.
+
+(** The state type used in the state-error monad *)
+Axiom state : Type.
+
+End HashmapMain_TypesExternal_Template.
diff --git a/tests/coq/hashmap_on_disk/_CoqProject b/tests/coq/hashmap_on_disk/_CoqProject
index b78c7b5f..41945494 100644
--- a/tests/coq/hashmap_on_disk/_CoqProject
+++ b/tests/coq/hashmap_on_disk/_CoqProject
@@ -6,4 +6,7 @@
 HashmapMain_Types.v
 Primitives.v
 HashmapMain_Funs.v
-HashmapMain_Opaque.v
+HashmapMain_TypesExternal.v
+HashmapMain_FunsExternal_Template.v
+HashmapMain_FunsExternal.v
+HashmapMain_TypesExternal_Template.v
diff --git a/tests/coq/misc/Constants.v b/tests/coq/misc/Constants.v
index 20edb2b1..ad899f25 100644
--- a/tests/coq/misc/Constants.v
+++ b/tests/coq/misc/Constants.v
@@ -157,4 +157,4 @@ Definition s3_c : Pair_t u32 u32 := s3_body%global.
 Definition s4_body : result (Pair_t u32 u32) := mk_pair1 7%u32 8%u32.
 Definition s4_c : Pair_t u32 u32 := s4_body%global.
 
-End Constants .
+End Constants.
diff --git a/tests/coq/misc/External_Funs.v b/tests/coq/misc/External_Funs.v
index 0a14c7d1..e9d39f66 100644
--- a/tests/coq/misc/External_Funs.v
+++ b/tests/coq/misc/External_Funs.v
@@ -6,10 +6,10 @@ Require Import Coq.ZArith.ZArith.
 Require Import List.
 Import ListNotations.
 Local Open Scope Primitives_scope.
-Require Export External_Types.
-Import External_Types.
-Require Export External_Opaque.
-Import External_Opaque.
+Require Import External_Types.
+Include External_Types.
+Require Import External_FunsExternal.
+Include External_FunsExternal.
 Module External_Funs.
 
 (** [external::swap]: forward function
@@ -115,4 +115,4 @@ Definition test_swap_non_zero (x : u32) (st : state) : result (state * u32) :=
   if x0 s= 0%u32 then Fail_ Failure else Return (st1, x0)
 .
 
-End External_Funs .
+End External_Funs.
diff --git a/tests/coq/misc/External_Opaque.v b/tests/coq/misc/External_FunsExternal.v
index b482431f..a8c5756a 100644
--- a/tests/coq/misc/External_Opaque.v
+++ b/tests/coq/misc/External_FunsExternal.v
@@ -7,8 +7,8 @@ Require Import List.
 Import ListNotations.
 Local Open Scope Primitives_scope.
 Require Export External_Types.
-Import External_Types.
-Module External_Opaque.
+Include External_Types.
+Module External_FunsExternal.
 
 (** [core::mem::swap]: forward function
     Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/mem/mod.rs', lines 726:0-726:42 *)
@@ -40,4 +40,4 @@ Axiom core_option_Option_unwrap :
   forall(T : Type), option T -> state -> result (state * T)
 .
 
-End External_Opaque .
+End External_FunsExternal.
diff --git a/tests/coq/misc/External_FunsExternal_Template.v b/tests/coq/misc/External_FunsExternal_Template.v
new file mode 100644
index 00000000..31e69c39
--- /dev/null
+++ b/tests/coq/misc/External_FunsExternal_Template.v
@@ -0,0 +1,44 @@
+(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
+(** [external]: external functions.
+-- This is a template file: rename it to "FunsExternal.lean" and fill the holes. *)
+Require Import Primitives.
+Import Primitives.
+Require Import Coq.ZArith.ZArith.
+Require Import List.
+Import ListNotations.
+Local Open Scope Primitives_scope.
+Require Import External_Types.
+Include External_Types.
+Module External_FunsExternal_Template.
+
+(** [core::mem::swap]: forward function
+    Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/mem/mod.rs', lines 726:0-726:42 *)
+Axiom core_mem_swap :
+  forall(T : Type), T -> T -> state -> result (state * unit)
+.
+
+(** [core::mem::swap]: backward function 0
+    Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/mem/mod.rs', lines 726:0-726:42 *)
+Axiom core_mem_swap_back0 :
+  forall(T : Type), T -> T -> state -> state -> result (state * T)
+.
+
+(** [core::mem::swap]: backward function 1
+    Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/mem/mod.rs', lines 726:0-726:42 *)
+Axiom core_mem_swap_back1 :
+  forall(T : Type), T -> T -> state -> state -> result (state * T)
+.
+
+(** [core::num::nonzero::{core::num::nonzero::NonZeroU32#14}::new]: forward function
+    Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/num/nonzero.rs', lines 79:16-79:57 *)
+Axiom core_num_nonzero_NonZeroU32_new
+  : u32 -> state -> result (state * (option core_num_nonzero_NonZeroU32_t))
+.
+
+(** [core::option::{core::option::Option<T>}::unwrap]: forward function
+    Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/option.rs', lines 932:4-932:34 *)
+Axiom core_option_Option_unwrap :
+  forall(T : Type), option T -> state -> result (state * T)
+.
+
+End External_FunsExternal_Template.
diff --git a/tests/coq/misc/External_Types.v b/tests/coq/misc/External_Types.v
index c638670c..b42c2ecf 100644
--- a/tests/coq/misc/External_Types.v
+++ b/tests/coq/misc/External_Types.v
@@ -6,13 +6,8 @@ Require Import Coq.ZArith.ZArith.
 Require Import List.
 Import ListNotations.
 Local Open Scope Primitives_scope.
+Require Import External_TypesExternal.
+Include External_TypesExternal.
 Module External_Types.
 
-(** [core::num::nonzero::NonZeroU32]
-    Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/num/nonzero.rs', lines 50:12-50:33 *)
-Axiom core_num_nonzero_NonZeroU32_t : Type.
-
-(** The state type used in the state-error monad *)
-Axiom state : Type.
-
-End External_Types .
+End External_Types.
diff --git a/tests/coq/misc/External_TypesExternal.v b/tests/coq/misc/External_TypesExternal.v
new file mode 100644
index 00000000..3f02b839
--- /dev/null
+++ b/tests/coq/misc/External_TypesExternal.v
@@ -0,0 +1,19 @@
+(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
+(** [external]: external types.
+-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. *)
+Require Import Primitives.
+Import Primitives.
+Require Import Coq.ZArith.ZArith.
+Require Import List.
+Import ListNotations.
+Local Open Scope Primitives_scope.
+Module External_TypesExternal.
+
+(** [core::num::nonzero::NonZeroU32]
+    Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/num/nonzero.rs', lines 50:12-50:33 *)
+Axiom core_num_nonzero_NonZeroU32_t : Type.
+
+(** The state type used in the state-error monad *)
+Axiom state : Type.
+
+End External_TypesExternal.
diff --git a/tests/coq/misc/External_TypesExternal_Template.v b/tests/coq/misc/External_TypesExternal_Template.v
new file mode 100644
index 00000000..7ba79d8e
--- /dev/null
+++ b/tests/coq/misc/External_TypesExternal_Template.v
@@ -0,0 +1,19 @@
+(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
+(** [external]: external types.
+-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. *)
+Require Import Primitives.
+Import Primitives.
+Require Import Coq.ZArith.ZArith.
+Require Import List.
+Import ListNotations.
+Local Open Scope Primitives_scope.
+Module External_TypesExternal_Template.
+
+(** [core::num::nonzero::NonZeroU32]
+    Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/num/nonzero.rs', lines 50:12-50:33 *)
+Axiom core_num_nonzero_NonZeroU32_t : Type.
+
+(** The state type used in the state-error monad *)
+Axiom state : Type.
+
+End External_TypesExternal_Template.
diff --git a/tests/coq/misc/Loops.v b/tests/coq/misc/Loops.v
index 4929ddd0..83c249c1 100644
--- a/tests/coq/misc/Loops.v
+++ b/tests/coq/misc/Loops.v
@@ -914,4 +914,4 @@ Definition list_nth_shared_mut_loop_pair_merge_back
   list_nth_shared_mut_loop_pair_merge_loop_back T n ls0 ls1 i ret
 .
 
-End Loops .
+End Loops.
diff --git a/tests/coq/misc/NoNestedBorrows.v b/tests/coq/misc/NoNestedBorrows.v
index b044d24f..16a2e816 100644
--- a/tests/coq/misc/NoNestedBorrows.v
+++ b/tests/coq/misc/NoNestedBorrows.v
@@ -586,4 +586,4 @@ Definition test_shared_borrow_enum1 (l : List_t u32) : result u32 :=
 Definition test_shared_borrow_enum2 : result u32 :=
   Return 0%u32.
 
-End NoNestedBorrows .
+End NoNestedBorrows.
diff --git a/tests/coq/misc/Paper.v b/tests/coq/misc/Paper.v
index 4a49096f..6b110193 100644
--- a/tests/coq/misc/Paper.v
+++ b/tests/coq/misc/Paper.v
@@ -128,4 +128,4 @@ Definition call_choose (p : (u32 * u32)) : result u32 :=
   Return px0
 .
 
-End Paper .
+End Paper.
diff --git a/tests/coq/misc/PoloniusList.v b/tests/coq/misc/PoloniusList.v
index a0820e40..2371b1cc 100644
--- a/tests/coq/misc/PoloniusList.v
+++ b/tests/coq/misc/PoloniusList.v
@@ -41,4 +41,4 @@ Fixpoint get_list_at_x_back
   end
 .
 
-End PoloniusList .
+End PoloniusList.
diff --git a/tests/coq/misc/_CoqProject b/tests/coq/misc/_CoqProject
index db6c2742..0828bced 100644
--- a/tests/coq/misc/_CoqProject
+++ b/tests/coq/misc/_CoqProject
@@ -4,11 +4,14 @@
 -arg all
 
 Loops.v
+External_Types.v
 Primitives.v
 External_Funs.v
+Paper.v
+External_TypesExternal.v
 Constants.v
 PoloniusList.v
-External_Types.v
 NoNestedBorrows.v
-External_Opaque.v
-Paper.v
+External_FunsExternal.v
+External_TypesExternal_Template.v
+External_FunsExternal_Template.v
diff --git a/tests/coq/traits/Traits.v b/tests/coq/traits/Traits.v
index 0952a1df..ebdca4ec 100644
--- a/tests/coq/traits/Traits.v
+++ b/tests/coq/traits/Traits.v
@@ -382,15 +382,11 @@ Definition test_where2
   Return tt
 .
 
-(** [alloc::string::String]
-    Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/alloc/src/string.rs', lines 365:0-365:17 *)
-Axiom alloc_string_String_t : Type.
-
 (** Trait declaration: [traits::ParentTrait0]
     Source: 'src/traits.rs', lines 200:0-200:22 *)
 Record ParentTrait0_t (Self : Type) := mkParentTrait0_t {
   ParentTrait0_tParentTrait0_t_W : Type;
-  ParentTrait0_t_get_name : Self -> result alloc_string_String_t;
+  ParentTrait0_t_get_name : Self -> result string;
   ParentTrait0_t_get_w : Self -> result ParentTrait0_tParentTrait0_t_W;
 }.
 
@@ -419,9 +415,7 @@ Arguments ChildTrait_tChildTrait_t_ParentTrait1SelfInst { _ }.
 (** [traits::test_child_trait1]: forward function
     Source: 'src/traits.rs', lines 209:0-209:56 *)
 Definition test_child_trait1
-  (T : Type) (childTraitTInst : ChildTrait_t T) (x : T) :
-  result alloc_string_String_t
-  :=
+  (T : Type) (childTraitTInst : ChildTrait_t T) (x : T) : result string :=
   childTraitTInst.(ChildTrait_tChildTrait_t_ParentTrait0SelfInst).(ParentTrait0_t_get_name)
     x
 .
@@ -617,4 +611,4 @@ Arguments CFn_t_call_mut { _ _ }.
 Definition incr_u32 (x : u32) : result u32 :=
   u32_add x 1%u32.
 
-End Traits .
+End Traits.