From bfafe1f4d1cb69c9b921a77c7193c92b45cc21df Mon Sep 17 00:00:00 2001
From: Son Ho
Date: Thu, 26 Oct 2023 14:45:19 +0200
Subject: Regenerate several test files for Lean

---
 tests/lean/Loops/Funs.lean | 161 ++++++++++++++++++++++++---------------------
 1 file changed, 87 insertions(+), 74 deletions(-)

(limited to 'tests/lean/Loops/Funs.lean')

diff --git a/tests/lean/Loops/Funs.lean b/tests/lean/Loops/Funs.lean
index 5fbe200f..f9c7569e 100644
--- a/tests/lean/Loops/Funs.lean
+++ b/tests/lean/Loops/Funs.lean
@@ -11,13 +11,13 @@ divergent def sum_loop (max : U32) (i : U32) (s : U32) : Result U32 :=
   if i < max
   then do
          let s0 ← s + i
-         let i0 ← i + (U32.ofInt 1)
+         let i0 ← i + 1#u32
          sum_loop max i0 s0
-  else s * (U32.ofInt 2)
+  else s * 2#u32
 
 /- [loops::sum]: forward function -/
 def sum (max : U32) : Result U32 :=
-  sum_loop max (U32.ofInt 0) (U32.ofInt 0)
+  sum_loop max 0#u32 0#u32
 
 /- [loops::sum_with_mut_borrows]: loop 0: forward function -/
 divergent def sum_with_mut_borrows_loop
@@ -26,13 +26,13 @@ divergent def sum_with_mut_borrows_loop
   then
     do
       let ms0 ← ms + mi
-      let mi0 ← mi + (U32.ofInt 1)
+      let mi0 ← mi + 1#u32
       sum_with_mut_borrows_loop max mi0 ms0
-  else ms * (U32.ofInt 2)
+  else ms * 2#u32
 
 /- [loops::sum_with_mut_borrows]: forward function -/
 def sum_with_mut_borrows (max : U32) : Result U32 :=
-  sum_with_mut_borrows_loop max (U32.ofInt 0) (U32.ofInt 0)
+  sum_with_mut_borrows_loop max 0#u32 0#u32
 
 /- [loops::sum_with_shared_borrows]: loop 0: forward function -/
 divergent def sum_with_shared_borrows_loop
@@ -40,31 +40,34 @@ divergent def sum_with_shared_borrows_loop
   if i < max
   then
     do
-      let i0 ← i + (U32.ofInt 1)
+      let i0 ← i + 1#u32
       let s0 ← s + i0
       sum_with_shared_borrows_loop max i0 s0
-  else s * (U32.ofInt 2)
+  else s * 2#u32
 
 /- [loops::sum_with_shared_borrows]: forward function -/
 def sum_with_shared_borrows (max : U32) : Result U32 :=
-  sum_with_shared_borrows_loop max (U32.ofInt 0) (U32.ofInt 0)
+  sum_with_shared_borrows_loop max 0#u32 0#u32
 
 /- [loops::clear]: loop 0: merged forward/backward function
    (there is a single backward function, and the forward function returns ()) -/
-divergent def clear_loop (v : Vec U32) (i : Usize) : Result (Vec U32) :=
-  let i0 := Vec.len U32 v
+divergent def clear_loop
+  (v : alloc.vec.Vec U32) (i : Usize) : Result (alloc.vec.Vec U32) :=
+  let i0 := alloc.vec.Vec.len U32 v
   if i < i0
   then
     do
-      let i1 ← i + (Usize.ofInt 1)
-      let v0 ← Vec.index_mut_back U32 v i (U32.ofInt 0)
+      let i1 ← i + 1#usize
+      let v0 ←
+        alloc.vec.Vec.index_mut_back U32 Usize
+          (core.slice.index.usize.coresliceindexSliceIndexInst U32) v i 0#u32
       clear_loop v0 i1
   else Result.ret v
 
 /- [loops::clear]: merged forward/backward function
    (there is a single backward function, and the forward function returns ()) -/
-def clear (v : Vec U32) : Result (Vec U32) :=
-  clear_loop v (Usize.ofInt 0)
+def clear (v : alloc.vec.Vec U32) : Result (alloc.vec.Vec U32) :=
+  clear_loop v 0#usize
 
 /- [loops::list_mem]: loop 0: forward function -/
 divergent def list_mem_loop (x : U32) (ls : List U32) : Result Bool :=
@@ -83,10 +86,10 @@ divergent def list_nth_mut_loop_loop
   (T : Type) (ls : List T) (i : U32) : Result T :=
   match ls with
   | List.Cons x tl =>
-    if i = (U32.ofInt 0)
+    if i = 0#u32
     then Result.ret x
     else do
-           let i0 ← i - (U32.ofInt 1)
+           let i0 ← i - 1#u32
            list_nth_mut_loop_loop T tl i0
   | List.Nil => Result.fail Error.panic
 
@@ -99,11 +102,11 @@ divergent def list_nth_mut_loop_loop_back
   (T : Type) (ls : List T) (i : U32) (ret0 : T) : Result (List T) :=
   match ls with
   | List.Cons x tl =>
-    if i = (U32.ofInt 0)
+    if i = 0#u32
     then Result.ret (List.Cons ret0 tl)
     else
       do
-        let i0 ← i - (U32.ofInt 1)
+        let i0 ← i - 1#u32
         let tl0 ← list_nth_mut_loop_loop_back T tl i0 ret0
         Result.ret (List.Cons x tl0)
   | List.Nil => Result.fail Error.panic
@@ -118,10 +121,10 @@ divergent def list_nth_shared_loop_loop
   (T : Type) (ls : List T) (i : U32) : Result T :=
   match ls with
   | List.Cons x tl =>
-    if i = (U32.ofInt 0)
+    if i = 0#u32
     then Result.ret x
     else do
-           let i0 ← i - (U32.ofInt 1)
+           let i0 ← i - 1#u32
            list_nth_shared_loop_loop T tl i0
   | List.Nil => Result.fail Error.panic
 
@@ -138,9 +141,13 @@ divergent def get_elem_mut_loop (x : Usize) (ls : List Usize) : Result Usize :=
   | List.Nil => Result.fail Error.panic
 
 /- [loops::get_elem_mut]: forward function -/
-def get_elem_mut (slots : Vec (List Usize)) (x : Usize) : Result Usize :=
+def get_elem_mut
+  (slots : alloc.vec.Vec (List Usize)) (x : Usize) : Result Usize :=
   do
-    let l ← Vec.index_mut (List Usize) slots (Usize.ofInt 0)
+    let l ←
+      alloc.vec.Vec.index_mut (List Usize) Usize
+        (core.slice.index.usize.coresliceindexSliceIndexInst (List Usize))
+        slots 0#usize
     get_elem_mut_loop x l
 
 /- [loops::get_elem_mut]: loop 0: backward function 0 -/
@@ -158,13 +165,18 @@ divergent def get_elem_mut_loop_back
 
 /- [loops::get_elem_mut]: backward function 0 -/
 def get_elem_mut_back
-  (slots : Vec (List Usize)) (x : Usize) (ret0 : Usize) :
-  Result (Vec (List Usize))
+  (slots : alloc.vec.Vec (List Usize)) (x : Usize) (ret0 : Usize) :
+  Result (alloc.vec.Vec (List Usize))
   :=
   do
-    let l ← Vec.index_mut (List Usize) slots (Usize.ofInt 0)
+    let l ←
+      alloc.vec.Vec.index_mut (List Usize) Usize
+        (core.slice.index.usize.coresliceindexSliceIndexInst (List Usize))
+        slots 0#usize
     let l0 ← get_elem_mut_loop_back x l ret0
-    Vec.index_mut_back (List Usize) slots (Usize.ofInt 0) l0
+    alloc.vec.Vec.index_mut_back (List Usize) Usize
+      (core.slice.index.usize.coresliceindexSliceIndexInst (List Usize)) slots
+      0#usize l0
 
 /- [loops::get_elem_shared]: loop 0: forward function -/
 divergent def get_elem_shared_loop
@@ -176,9 +188,13 @@ divergent def get_elem_shared_loop
   | List.Nil => Result.fail Error.panic
 
 /- [loops::get_elem_shared]: forward function -/
-def get_elem_shared (slots : Vec (List Usize)) (x : Usize) : Result Usize :=
+def get_elem_shared
+  (slots : alloc.vec.Vec (List Usize)) (x : Usize) : Result Usize :=
   do
-    let l ← Vec.index_shared (List Usize) slots (Usize.ofInt 0)
+    let l ←
+      alloc.vec.Vec.index (List Usize) Usize
+        (core.slice.index.usize.coresliceindexSliceIndexInst (List Usize))
+        slots 0#usize
     get_elem_shared_loop x l
 
 /- [loops::id_mut]: forward function -/
@@ -198,10 +214,10 @@ divergent def list_nth_mut_loop_with_id_loop
   (T : Type) (i : U32) (ls : List T) : Result T :=
   match ls with
   | List.Cons x tl =>
-    if i = (U32.ofInt 0)
+    if i = 0#u32
     then Result.ret x
     else do
-           let i0 ← i - (U32.ofInt 1)
+           let i0 ← i - 1#u32
            list_nth_mut_loop_with_id_loop T i0 tl
   | List.Nil => Result.fail Error.panic
 
@@ -216,11 +232,11 @@ divergent def list_nth_mut_loop_with_id_loop_back
   (T : Type) (i : U32) (ls : List T) (ret0 : T) : Result (List T) :=
   match ls with
   | List.Cons x tl =>
-    if i = (U32.ofInt 0)
+    if i = 0#u32
     then Result.ret (List.Cons ret0 tl)
     else
       do
-        let i0 ← i - (U32.ofInt 1)
+        let i0 ← i - 1#u32
         let tl0 ← list_nth_mut_loop_with_id_loop_back T i0 tl ret0
         Result.ret (List.Cons x tl0)
   | List.Nil => Result.fail Error.panic
@@ -238,12 +254,11 @@ divergent def list_nth_shared_loop_with_id_loop
   (T : Type) (i : U32) (ls : List T) : Result T :=
   match ls with
   | List.Cons x tl =>
-    if i = (U32.ofInt 0)
+    if i = 0#u32
     then Result.ret x
-    else
-      do
-        let i0 ← i - (U32.ofInt 1)
-        list_nth_shared_loop_with_id_loop T i0 tl
+    else do
+           let i0 ← i - 1#u32
+           list_nth_shared_loop_with_id_loop T i0 tl
   | List.Nil => Result.fail Error.panic
 
 /- [loops::list_nth_shared_loop_with_id]: forward function -/
@@ -260,12 +275,11 @@ divergent def list_nth_mut_loop_pair_loop
   | List.Cons x0 tl0 =>
     match ls1 with
     | List.Cons x1 tl1 =>
-      if i = (U32.ofInt 0)
+      if i = 0#u32
       then Result.ret (x0, x1)
-      else
-        do
-          let i0 ← i - (U32.ofInt 1)
-          list_nth_mut_loop_pair_loop T tl0 tl1 i0
+      else do
+             let i0 ← i - 1#u32
+             list_nth_mut_loop_pair_loop T tl0 tl1 i0
     | List.Nil => Result.fail Error.panic
   | List.Nil => Result.fail Error.panic
 
@@ -283,11 +297,11 @@ divergent def list_nth_mut_loop_pair_loop_back'a
   | List.Cons x0 tl0 =>
     match ls1 with
     | List.Cons x1 tl1 =>
-      if i = (U32.ofInt 0)
+      if i = 0#u32
       then Result.ret (List.Cons ret0 tl0)
       else
         do
-          let i0 ← i - (U32.ofInt 1)
+          let i0 ← i - 1#u32
           let tl00 ← list_nth_mut_loop_pair_loop_back'a T tl0 tl1 i0 ret0
           Result.ret (List.Cons x0 tl00)
     | List.Nil => Result.fail Error.panic
@@ -309,11 +323,11 @@ divergent def list_nth_mut_loop_pair_loop_back'b
   | List.Cons x0 tl0 =>
     match ls1 with
     | List.Cons x1 tl1 =>
-      if i = (U32.ofInt 0)
+      if i = 0#u32
       then Result.ret (List.Cons ret0 tl1)
       else
         do
-          let i0 ← i - (U32.ofInt 1)
+          let i0 ← i - 1#u32
           let tl10 ← list_nth_mut_loop_pair_loop_back'b T tl0 tl1 i0 ret0
           Result.ret (List.Cons x1 tl10)
     | List.Nil => Result.fail Error.panic
@@ -333,12 +347,11 @@ divergent def list_nth_shared_loop_pair_loop
   | List.Cons x0 tl0 =>
     match ls1 with
     | List.Cons x1 tl1 =>
-      if i = (U32.ofInt 0)
+      if i = 0#u32
       then Result.ret (x0, x1)
-      else
-        do
-          let i0 ← i - (U32.ofInt 1)
-          list_nth_shared_loop_pair_loop T tl0 tl1 i0
+      else do
+             let i0 ← i - 1#u32
+             list_nth_shared_loop_pair_loop T tl0 tl1 i0
     | List.Nil => Result.fail Error.panic
   | List.Nil => Result.fail Error.panic
 
@@ -354,11 +367,11 @@ divergent def list_nth_mut_loop_pair_merge_loop
   | List.Cons x0 tl0 =>
     match ls1 with
     | List.Cons x1 tl1 =>
-      if i = (U32.ofInt 0)
+      if i = 0#u32
       then Result.ret (x0, x1)
       else
         do
-          let i0 ← i - (U32.ofInt 1)
+          let i0 ← i - 1#u32
           list_nth_mut_loop_pair_merge_loop T tl0 tl1 i0
     | List.Nil => Result.fail Error.panic
   | List.Nil => Result.fail Error.panic
@@ -377,12 +390,12 @@ divergent def list_nth_mut_loop_pair_merge_loop_back
   | List.Cons x0 tl0 =>
     match ls1 with
     | List.Cons x1 tl1 =>
-      if i = (U32.ofInt 0)
+      if i = 0#u32
       then let (t, t0) := ret0
            Result.ret (List.Cons t tl0, List.Cons t0 tl1)
       else
         do
-          let i0 ← i - (U32.ofInt 1)
+          let i0 ← i - 1#u32
           let (tl00, tl10) ←
             list_nth_mut_loop_pair_merge_loop_back T tl0 tl1 i0 ret0
           Result.ret (List.Cons x0 tl00, List.Cons x1 tl10)
@@ -403,11 +416,11 @@ divergent def list_nth_shared_loop_pair_merge_loop
   | List.Cons x0 tl0 =>
     match ls1 with
     | List.Cons x1 tl1 =>
-      if i = (U32.ofInt 0)
+      if i = 0#u32
       then Result.ret (x0, x1)
       else
         do
-          let i0 ← i - (U32.ofInt 1)
+          let i0 ← i - 1#u32
           list_nth_shared_loop_pair_merge_loop T tl0 tl1 i0
     | List.Nil => Result.fail Error.panic
   | List.Nil => Result.fail Error.panic
@@ -424,11 +437,11 @@ divergent def list_nth_mut_shared_loop_pair_loop
   | List.Cons x0 tl0 =>
     match ls1 with
     | List.Cons x1 tl1 =>
-      if i = (U32.ofInt 0)
+      if i = 0#u32
       then Result.ret (x0, x1)
       else
         do
-          let i0 ← i - (U32.ofInt 1)
+          let i0 ← i - 1#u32
           list_nth_mut_shared_loop_pair_loop T tl0 tl1 i0
     | List.Nil => Result.fail Error.panic
   | List.Nil => Result.fail Error.panic
@@ -447,11 +460,11 @@ divergent def list_nth_mut_shared_loop_pair_loop_back
   | List.Cons x0 tl0 =>
     match ls1 with
     | List.Cons x1 tl1 =>
-      if i = (U32.ofInt 0)
+      if i = 0#u32
       then Result.ret (List.Cons ret0 tl0)
       else
         do
-          let i0 ← i - (U32.ofInt 1)
+          let i0 ← i - 1#u32
           let tl00 ←
             list_nth_mut_shared_loop_pair_loop_back T tl0 tl1 i0 ret0
           Result.ret (List.Cons x0 tl00)
@@ -472,11 +485,11 @@ divergent def list_nth_mut_shared_loop_pair_merge_loop
   | List.Cons x0 tl0 =>
     match ls1 with
     | List.Cons x1 tl1 =>
-      if i = (U32.ofInt 0)
+      if i = 0#u32
       then Result.ret (x0, x1)
       else
         do
-          let i0 ← i - (U32.ofInt 1)
+          let i0 ← i - 1#u32
           list_nth_mut_shared_loop_pair_merge_loop T tl0 tl1 i0
     | List.Nil => Result.fail Error.panic
   | List.Nil => Result.fail Error.panic
@@ -495,11 +508,11 @@ divergent def list_nth_mut_shared_loop_pair_merge_loop_back
   | List.Cons x0 tl0 =>
     match ls1 with
     | List.Cons x1 tl1 =>
-      if i = (U32.ofInt 0)
+      if i = 0#u32
       then Result.ret (List.Cons ret0 tl0)
       else
         do
-          let i0 ← i - (U32.ofInt 1)
+          let i0 ← i - 1#u32
           let tl00 ←
             list_nth_mut_shared_loop_pair_merge_loop_back T tl0 tl1 i0 ret0
           Result.ret (List.Cons x0 tl00)
@@ -520,11 +533,11 @@ divergent def list_nth_shared_mut_loop_pair_loop
   | List.Cons x0 tl0 =>
     match ls1 with
     | List.Cons x1 tl1 =>
-      if i = (U32.ofInt 0)
+      if i = 0#u32
       then Result.ret (x0, x1)
       else
         do
-          let i0 ← i - (U32.ofInt 1)
+          let i0 ← i - 1#u32
           list_nth_shared_mut_loop_pair_loop T tl0 tl1 i0
     | List.Nil => Result.fail Error.panic
   | List.Nil => Result.fail Error.panic
@@ -543,11 +556,11 @@ divergent def list_nth_shared_mut_loop_pair_loop_back
   | List.Cons x0 tl0 =>
     match ls1 with
     | List.Cons x1 tl1 =>
-      if i = (U32.ofInt 0)
+      if i = 0#u32
       then Result.ret (List.Cons ret0 tl1)
       else
         do
-          let i0 ← i - (U32.ofInt 1)
+          let i0 ← i - 1#u32
           let tl10 ←
             list_nth_shared_mut_loop_pair_loop_back T tl0 tl1 i0 ret0
           Result.ret (List.Cons x1 tl10)
@@ -568,11 +581,11 @@ divergent def list_nth_shared_mut_loop_pair_merge_loop
   | List.Cons x0 tl0 =>
     match ls1 with
     | List.Cons x1 tl1 =>
-      if i = (U32.ofInt 0)
+      if i = 0#u32
       then Result.ret (x0, x1)
       else
         do
-          let i0 ← i - (U32.ofInt 1)
+          let i0 ← i - 1#u32
           list_nth_shared_mut_loop_pair_merge_loop T tl0 tl1 i0
     | List.Nil => Result.fail Error.panic
   | List.Nil => Result.fail Error.panic
@@ -591,11 +604,11 @@ divergent def list_nth_shared_mut_loop_pair_merge_loop_back
   | List.Cons x0 tl0 =>
     match ls1 with
     | List.Cons x1 tl1 =>
-      if i = (U32.ofInt 0)
+      if i = 0#u32
       then Result.ret (List.Cons ret0 tl1)
       else
         do
-          let i0 ← i - (U32.ofInt 1)
+          let i0 ← i - 1#u32
           let tl10 ←
             list_nth_shared_mut_loop_pair_merge_loop_back T tl0 tl1 i0 ret0
           Result.ret (List.Cons x1 tl10)
-- 
cgit v1.2.3


From c57dec640d4e12c3dc66969d626bbbca2eb733fd Mon Sep 17 00:00:00 2001
From: Son Ho
Date: Thu, 9 Nov 2023 11:43:47 +0100
Subject: Modify some options and update the Makefile

---
 tests/lean/Loops/Funs.lean | 625 ---------------------------------------------
 1 file changed, 625 deletions(-)
 delete mode 100644 tests/lean/Loops/Funs.lean

(limited to 'tests/lean/Loops/Funs.lean')

diff --git a/tests/lean/Loops/Funs.lean b/tests/lean/Loops/Funs.lean
deleted file mode 100644
index f9c7569e..00000000
--- a/tests/lean/Loops/Funs.lean
+++ /dev/null
@@ -1,625 +0,0 @@
--- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS
--- [loops]: function definitions
-import Base
-import Loops.Types
-open Primitives
-
-namespace loops
-
-/- [loops::sum]: loop 0: forward function -/
-divergent def sum_loop (max : U32) (i : U32) (s : U32) : Result U32 :=
-  if i < max
-  then do
-         let s0 ← s + i
-         let i0 ← i + 1#u32
-         sum_loop max i0 s0
-  else s * 2#u32
-
-/- [loops::sum]: forward function -/
-def sum (max : U32) : Result U32 :=
-  sum_loop max 0#u32 0#u32
-
-/- [loops::sum_with_mut_borrows]: loop 0: forward function -/
-divergent def sum_with_mut_borrows_loop
-  (max : U32) (mi : U32) (ms : U32) : Result U32 :=
-  if mi < max
-  then
-    do
-      let ms0 ← ms + mi
-      let mi0 ← mi + 1#u32
-      sum_with_mut_borrows_loop max mi0 ms0
-  else ms * 2#u32
-
-/- [loops::sum_with_mut_borrows]: forward function -/
-def sum_with_mut_borrows (max : U32) : Result U32 :=
-  sum_with_mut_borrows_loop max 0#u32 0#u32
-
-/- [loops::sum_with_shared_borrows]: loop 0: forward function -/
-divergent def sum_with_shared_borrows_loop
-  (max : U32) (i : U32) (s : U32) : Result U32 :=
-  if i < max
-  then
-    do
-      let i0 ← i + 1#u32
-      let s0 ← s + i0
-      sum_with_shared_borrows_loop max i0 s0
-  else s * 2#u32
-
-/- [loops::sum_with_shared_borrows]: forward function -/
-def sum_with_shared_borrows (max : U32) : Result U32 :=
-  sum_with_shared_borrows_loop max 0#u32 0#u32
-
-/- [loops::clear]: loop 0: merged forward/backward function
-   (there is a single backward function, and the forward function returns ()) -/
-divergent def clear_loop
-  (v : alloc.vec.Vec U32) (i : Usize) : Result (alloc.vec.Vec U32) :=
-  let i0 := alloc.vec.Vec.len U32 v
-  if i < i0
-  then
-    do
-      let i1 ← i + 1#usize
-      let v0 ←
-        alloc.vec.Vec.index_mut_back U32 Usize
-          (core.slice.index.usize.coresliceindexSliceIndexInst U32) v i 0#u32
-      clear_loop v0 i1
-  else Result.ret v
-
-/- [loops::clear]: merged forward/backward function
-   (there is a single backward function, and the forward function returns ()) -/
-def clear (v : alloc.vec.Vec U32) : Result (alloc.vec.Vec U32) :=
-  clear_loop v 0#usize
-
-/- [loops::list_mem]: loop 0: forward function -/
-divergent def list_mem_loop (x : U32) (ls : List U32) : Result Bool :=
-  match ls with
-  | List.Cons y tl => if y = x
-                      then Result.ret true
-                      else list_mem_loop x tl
-  | List.Nil => Result.ret false
-
-/- [loops::list_mem]: forward function -/
-def list_mem (x : U32) (ls : List U32) : Result Bool :=
-  list_mem_loop x ls
-
-/- [loops::list_nth_mut_loop]: loop 0: forward function -/
-divergent def list_nth_mut_loop_loop
-  (T : Type) (ls : List T) (i : U32) : Result T :=
-  match ls with
-  | List.Cons x tl =>
-    if i = 0#u32
-    then Result.ret x
-    else do
-           let i0 ← i - 1#u32
-           list_nth_mut_loop_loop T tl i0
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_mut_loop]: forward function -/
-def list_nth_mut_loop (T : Type) (ls : List T) (i : U32) : Result T :=
-  list_nth_mut_loop_loop T ls i
-
-/- [loops::list_nth_mut_loop]: loop 0: backward function 0 -/
-divergent def list_nth_mut_loop_loop_back
-  (T : Type) (ls : List T) (i : U32) (ret0 : T) : Result (List T) :=
-  match ls with
-  | List.Cons x tl =>
-    if i = 0#u32
-    then Result.ret (List.Cons ret0 tl)
-    else
-      do
-        let i0 ← i - 1#u32
-        let tl0 ← list_nth_mut_loop_loop_back T tl i0 ret0
-        Result.ret (List.Cons x tl0)
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_mut_loop]: backward function 0 -/
-def list_nth_mut_loop_back
-  (T : Type) (ls : List T) (i : U32) (ret0 : T) : Result (List T) :=
-  list_nth_mut_loop_loop_back T ls i ret0
-
-/- [loops::list_nth_shared_loop]: loop 0: forward function -/
-divergent def list_nth_shared_loop_loop
-  (T : Type) (ls : List T) (i : U32) : Result T :=
-  match ls with
-  | List.Cons x tl =>
-    if i = 0#u32
-    then Result.ret x
-    else do
-           let i0 ← i - 1#u32
-           list_nth_shared_loop_loop T tl i0
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_shared_loop]: forward function -/
-def list_nth_shared_loop (T : Type) (ls : List T) (i : U32) : Result T :=
-  list_nth_shared_loop_loop T ls i
-
-/- [loops::get_elem_mut]: loop 0: forward function -/
-divergent def get_elem_mut_loop (x : Usize) (ls : List Usize) : Result Usize :=
-  match ls with
-  | List.Cons y tl => if y = x
-                      then Result.ret y
-                      else get_elem_mut_loop x tl
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::get_elem_mut]: forward function -/
-def get_elem_mut
-  (slots : alloc.vec.Vec (List Usize)) (x : Usize) : Result Usize :=
-  do
-    let l ←
-      alloc.vec.Vec.index_mut (List Usize) Usize
-        (core.slice.index.usize.coresliceindexSliceIndexInst (List Usize))
-        slots 0#usize
-    get_elem_mut_loop x l
-
-/- [loops::get_elem_mut]: loop 0: backward function 0 -/
-divergent def get_elem_mut_loop_back
-  (x : Usize) (ls : List Usize) (ret0 : Usize) : Result (List Usize) :=
-  match ls with
-  | List.Cons y tl =>
-    if y = x
-    then Result.ret (List.Cons ret0 tl)
-    else
-      do
-        let tl0 ← get_elem_mut_loop_back x tl ret0
-        Result.ret (List.Cons y tl0)
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::get_elem_mut]: backward function 0 -/
-def get_elem_mut_back
-  (slots : alloc.vec.Vec (List Usize)) (x : Usize) (ret0 : Usize) :
-  Result (alloc.vec.Vec (List Usize))
-  :=
-  do
-    let l ←
-      alloc.vec.Vec.index_mut (List Usize) Usize
-        (core.slice.index.usize.coresliceindexSliceIndexInst (List Usize))
-        slots 0#usize
-    let l0 ← get_elem_mut_loop_back x l ret0
-    alloc.vec.Vec.index_mut_back (List Usize) Usize
-      (core.slice.index.usize.coresliceindexSliceIndexInst (List Usize)) slots
-      0#usize l0
-
-/- [loops::get_elem_shared]: loop 0: forward function -/
-divergent def get_elem_shared_loop
-  (x : Usize) (ls : List Usize) : Result Usize :=
-  match ls with
-  | List.Cons y tl => if y = x
-                      then Result.ret y
-                      else get_elem_shared_loop x tl
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::get_elem_shared]: forward function -/
-def get_elem_shared
-  (slots : alloc.vec.Vec (List Usize)) (x : Usize) : Result Usize :=
-  do
-    let l ←
-      alloc.vec.Vec.index (List Usize) Usize
-        (core.slice.index.usize.coresliceindexSliceIndexInst (List Usize))
-        slots 0#usize
-    get_elem_shared_loop x l
-
-/- [loops::id_mut]: forward function -/
-def id_mut (T : Type) (ls : List T) : Result (List T) :=
-  Result.ret ls
-
-/- [loops::id_mut]: backward function 0 -/
-def id_mut_back (T : Type) (ls : List T) (ret0 : List T) : Result (List T) :=
-  Result.ret ret0
-
-/- [loops::id_shared]: forward function -/
-def id_shared (T : Type) (ls : List T) : Result (List T) :=
-  Result.ret ls
-
-/- [loops::list_nth_mut_loop_with_id]: loop 0: forward function -/
-divergent def list_nth_mut_loop_with_id_loop
-  (T : Type) (i : U32) (ls : List T) : Result T :=
-  match ls with
-  | List.Cons x tl =>
-    if i = 0#u32
-    then Result.ret x
-    else do
-           let i0 ← i - 1#u32
-           list_nth_mut_loop_with_id_loop T i0 tl
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_mut_loop_with_id]: forward function -/
-def list_nth_mut_loop_with_id (T : Type) (ls : List T) (i : U32) : Result T :=
-  do
-    let ls0 ← id_mut T ls
-    list_nth_mut_loop_with_id_loop T i ls0
-
-/- [loops::list_nth_mut_loop_with_id]: loop 0: backward function 0 -/
-divergent def list_nth_mut_loop_with_id_loop_back
-  (T : Type) (i : U32) (ls : List T) (ret0 : T) : Result (List T) :=
-  match ls with
-  | List.Cons x tl =>
-    if i = 0#u32
-    then Result.ret (List.Cons ret0 tl)
-    else
-      do
-        let i0 ← i - 1#u32
-        let tl0 ← list_nth_mut_loop_with_id_loop_back T i0 tl ret0
-        Result.ret (List.Cons x tl0)
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_mut_loop_with_id]: backward function 0 -/
-def list_nth_mut_loop_with_id_back
-  (T : Type) (ls : List T) (i : U32) (ret0 : T) : Result (List T) :=
-  do
-    let ls0 ← id_mut T ls
-    let l ← list_nth_mut_loop_with_id_loop_back T i ls0 ret0
-    id_mut_back T ls l
-
-/- [loops::list_nth_shared_loop_with_id]: loop 0: forward function -/
-divergent def list_nth_shared_loop_with_id_loop
-  (T : Type) (i : U32) (ls : List T) : Result T :=
-  match ls with
-  | List.Cons x tl =>
-    if i = 0#u32
-    then Result.ret x
-    else do
-           let i0 ← i - 1#u32
-           list_nth_shared_loop_with_id_loop T i0 tl
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_shared_loop_with_id]: forward function -/
-def list_nth_shared_loop_with_id
-  (T : Type) (ls : List T) (i : U32) : Result T :=
-  do
-    let ls0 ← id_shared T ls
-    list_nth_shared_loop_with_id_loop T i ls0
-
-/- [loops::list_nth_mut_loop_pair]: loop 0: forward function -/
-divergent def list_nth_mut_loop_pair_loop
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) :=
-  match ls0 with
-  | List.Cons x0 tl0 =>
-    match ls1 with
-    | List.Cons x1 tl1 =>
-      if i = 0#u32
-      then Result.ret (x0, x1)
-      else do
-             let i0 ← i - 1#u32
-             list_nth_mut_loop_pair_loop T tl0 tl1 i0
-    | List.Nil => Result.fail Error.panic
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_mut_loop_pair]: forward function -/
-def list_nth_mut_loop_pair
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) :=
-  list_nth_mut_loop_pair_loop T ls0 ls1 i
-
-/- [loops::list_nth_mut_loop_pair]: loop 0: backward function 0 -/
-divergent def list_nth_mut_loop_pair_loop_back'a
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) :
-  Result (List T)
-  :=
-  match ls0 with
-  | List.Cons x0 tl0 =>
-    match ls1 with
-    | List.Cons x1 tl1 =>
-      if i = 0#u32
-      then Result.ret (List.Cons ret0 tl0)
-      else
-        do
-          let i0 ← i - 1#u32
-          let tl00 ← list_nth_mut_loop_pair_loop_back'a T tl0 tl1 i0 ret0
-          Result.ret (List.Cons x0 tl00)
-    | List.Nil => Result.fail Error.panic
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_mut_loop_pair]: backward function 0 -/
-def list_nth_mut_loop_pair_back'a
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) :
-  Result (List T)
-  :=
-  list_nth_mut_loop_pair_loop_back'a T ls0 ls1 i ret0
-
-/- [loops::list_nth_mut_loop_pair]: loop 0: backward function 1 -/
-divergent def list_nth_mut_loop_pair_loop_back'b
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) :
-  Result (List T)
-  :=
-  match ls0 with
-  | List.Cons x0 tl0 =>
-    match ls1 with
-    | List.Cons x1 tl1 =>
-      if i = 0#u32
-      then Result.ret (List.Cons ret0 tl1)
-      else
-        do
-          let i0 ← i - 1#u32
-          let tl10 ← list_nth_mut_loop_pair_loop_back'b T tl0 tl1 i0 ret0
-          Result.ret (List.Cons x1 tl10)
-    | List.Nil => Result.fail Error.panic
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_mut_loop_pair]: backward function 1 -/
-def list_nth_mut_loop_pair_back'b
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) :
-  Result (List T)
-  :=
-  list_nth_mut_loop_pair_loop_back'b T ls0 ls1 i ret0
-
-/- [loops::list_nth_shared_loop_pair]: loop 0: forward function -/
-divergent def list_nth_shared_loop_pair_loop
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) :=
-  match ls0 with
-  | List.Cons x0 tl0 =>
-    match ls1 with
-    | List.Cons x1 tl1 =>
-      if i = 0#u32
-      then Result.ret (x0, x1)
-      else do
-             let i0 ← i - 1#u32
-             list_nth_shared_loop_pair_loop T tl0 tl1 i0
-    | List.Nil => Result.fail Error.panic
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_shared_loop_pair]: forward function -/
-def list_nth_shared_loop_pair
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) :=
-  list_nth_shared_loop_pair_loop T ls0 ls1 i
-
-/- [loops::list_nth_mut_loop_pair_merge]: loop 0: forward function -/
-divergent def list_nth_mut_loop_pair_merge_loop
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) :=
-  match ls0 with
-  | List.Cons x0 tl0 =>
-    match ls1 with
-    | List.Cons x1 tl1 =>
-      if i = 0#u32
-      then Result.ret (x0, x1)
-      else
-        do
-          let i0 ← i - 1#u32
-          list_nth_mut_loop_pair_merge_loop T tl0 tl1 i0
-    | List.Nil => Result.fail Error.panic
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_mut_loop_pair_merge]: forward function -/
-def list_nth_mut_loop_pair_merge
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) :=
-  list_nth_mut_loop_pair_merge_loop T ls0 ls1 i
-
-/- [loops::list_nth_mut_loop_pair_merge]: loop 0: backward function 0 -/
-divergent def list_nth_mut_loop_pair_merge_loop_back
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : (T × T)) :
-  Result ((List T) × (List T))
-  :=
-  match ls0 with
-  | List.Cons x0 tl0 =>
-    match ls1 with
-    | List.Cons x1 tl1 =>
-      if i = 0#u32
-      then let (t, t0) := ret0
-           Result.ret (List.Cons t tl0, List.Cons t0 tl1)
-      else
-        do
-          let i0 ← i - 1#u32
-          let (tl00, tl10) ←
-            list_nth_mut_loop_pair_merge_loop_back T tl0 tl1 i0 ret0
-          Result.ret (List.Cons x0 tl00, List.Cons x1 tl10)
-    | List.Nil => Result.fail Error.panic
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_mut_loop_pair_merge]: backward function 0 -/
-def list_nth_mut_loop_pair_merge_back
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : (T × T)) :
-  Result ((List T) × (List T))
-  :=
-  list_nth_mut_loop_pair_merge_loop_back T ls0 ls1 i ret0
-
-/- [loops::list_nth_shared_loop_pair_merge]: loop 0: forward function -/
-divergent def list_nth_shared_loop_pair_merge_loop
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) :=
-  match ls0 with
-  | List.Cons x0 tl0 =>
-    match ls1 with
-    | List.Cons x1 tl1 =>
-      if i = 0#u32
-      then Result.ret (x0, x1)
-      else
-        do
-          let i0 ← i - 1#u32
-          list_nth_shared_loop_pair_merge_loop T tl0 tl1 i0
-    | List.Nil => Result.fail Error.panic
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_shared_loop_pair_merge]: forward function -/
-def list_nth_shared_loop_pair_merge
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) :=
-  list_nth_shared_loop_pair_merge_loop T ls0 ls1 i
-
-/- [loops::list_nth_mut_shared_loop_pair]: loop 0: forward function -/
-divergent def list_nth_mut_shared_loop_pair_loop
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) :=
-  match ls0 with
-  | List.Cons x0 tl0 =>
-    match ls1 with
-    | List.Cons x1 tl1 =>
-      if i = 0#u32
-      then Result.ret (x0, x1)
-      else
-        do
-          let i0 ← i - 1#u32
-          list_nth_mut_shared_loop_pair_loop T tl0 tl1 i0
-    | List.Nil => Result.fail Error.panic
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_mut_shared_loop_pair]: forward function -/
-def list_nth_mut_shared_loop_pair
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) :=
-  list_nth_mut_shared_loop_pair_loop T ls0 ls1 i
-
-/- [loops::list_nth_mut_shared_loop_pair]: loop 0: backward function 0 -/
-divergent def list_nth_mut_shared_loop_pair_loop_back
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) :
-  Result (List T)
-  :=
-  match ls0 with
-  | List.Cons x0 tl0 =>
-    match ls1 with
-    | List.Cons x1 tl1 =>
-      if i = 0#u32
-      then Result.ret (List.Cons ret0 tl0)
-      else
-        do
-          let i0 ← i - 1#u32
-          let tl00 ←
-            list_nth_mut_shared_loop_pair_loop_back T tl0 tl1 i0 ret0
-          Result.ret (List.Cons x0 tl00)
-    | List.Nil => Result.fail Error.panic
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_mut_shared_loop_pair]: backward function 0 -/
-def list_nth_mut_shared_loop_pair_back
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) :
-  Result (List T)
-  :=
-  list_nth_mut_shared_loop_pair_loop_back T ls0 ls1 i ret0
-
-/- [loops::list_nth_mut_shared_loop_pair_merge]: loop 0: forward function -/
-divergent def list_nth_mut_shared_loop_pair_merge_loop
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) :=
-  match ls0 with
-  | List.Cons x0 tl0 =>
-    match ls1 with
-    | List.Cons x1 tl1 =>
-      if i = 0#u32
-      then Result.ret (x0, x1)
-      else
-        do
-          let i0 ← i - 1#u32
-          list_nth_mut_shared_loop_pair_merge_loop T tl0 tl1 i0
-    | List.Nil => Result.fail Error.panic
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_mut_shared_loop_pair_merge]: forward function -/
-def list_nth_mut_shared_loop_pair_merge
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) :=
-  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 -/
-divergent def list_nth_mut_shared_loop_pair_merge_loop_back
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) :
-  Result (List T)
-  :=
-  match ls0 with
-  | List.Cons x0 tl0 =>
-    match ls1 with
-    | List.Cons x1 tl1 =>
-      if i = 0#u32
-      then Result.ret (List.Cons ret0 tl0)
-      else
-        do
-          let i0 ← i - 1#u32
-          let tl00 ←
-            list_nth_mut_shared_loop_pair_merge_loop_back T tl0 tl1 i0 ret0
-          Result.ret (List.Cons x0 tl00)
-    | List.Nil => Result.fail Error.panic
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_mut_shared_loop_pair_merge]: backward function 0 -/
-def list_nth_mut_shared_loop_pair_merge_back
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) :
-  Result (List T)
-  :=
-  list_nth_mut_shared_loop_pair_merge_loop_back T ls0 ls1 i ret0
-
-/- [loops::list_nth_shared_mut_loop_pair]: loop 0: forward function -/
-divergent def list_nth_shared_mut_loop_pair_loop
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) :=
-  match ls0 with
-  | List.Cons x0 tl0 =>
-    match ls1 with
-    | List.Cons x1 tl1 =>
-      if i = 0#u32
-      then Result.ret (x0, x1)
-      else
-        do
-          let i0 ← i - 1#u32
-          list_nth_shared_mut_loop_pair_loop T tl0 tl1 i0
-    | List.Nil => Result.fail Error.panic
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_shared_mut_loop_pair]: forward function -/
-def list_nth_shared_mut_loop_pair
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) :=
-  list_nth_shared_mut_loop_pair_loop T ls0 ls1 i
-
-/- [loops::list_nth_shared_mut_loop_pair]: loop 0: backward function 1 -/
-divergent def list_nth_shared_mut_loop_pair_loop_back
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) :
-  Result (List T)
-  :=
-  match ls0 with
-  | List.Cons x0 tl0 =>
-    match ls1 with
-    | List.Cons x1 tl1 =>
-      if i = 0#u32
-      then Result.ret (List.Cons ret0 tl1)
-      else
-        do
-          let i0 ← i - 1#u32
-          let tl10 ←
-            list_nth_shared_mut_loop_pair_loop_back T tl0 tl1 i0 ret0
-          Result.ret (List.Cons x1 tl10)
-    | List.Nil => Result.fail Error.panic
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_shared_mut_loop_pair]: backward function 1 -/
-def list_nth_shared_mut_loop_pair_back
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) :
-  Result (List T)
-  :=
-  list_nth_shared_mut_loop_pair_loop_back T ls0 ls1 i ret0
-
-/- [loops::list_nth_shared_mut_loop_pair_merge]: loop 0: forward function -/
-divergent def list_nth_shared_mut_loop_pair_merge_loop
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) :=
-  match ls0 with
-  | List.Cons x0 tl0 =>
-    match ls1 with
-    | List.Cons x1 tl1 =>
-      if i = 0#u32
-      then Result.ret (x0, x1)
-      else
-        do
-          let i0 ← i - 1#u32
-          list_nth_shared_mut_loop_pair_merge_loop T tl0 tl1 i0
-    | List.Nil => Result.fail Error.panic
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_shared_mut_loop_pair_merge]: forward function -/
-def list_nth_shared_mut_loop_pair_merge
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) :=
-  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 -/
-divergent def list_nth_shared_mut_loop_pair_merge_loop_back
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) :
-  Result (List T)
-  :=
-  match ls0 with
-  | List.Cons x0 tl0 =>
-    match ls1 with
-    | List.Cons x1 tl1 =>
-      if i = 0#u32
-      then Result.ret (List.Cons ret0 tl1)
-      else
-        do
-          let i0 ← i - 1#u32
-          let tl10 ←
-            list_nth_shared_mut_loop_pair_merge_loop_back T tl0 tl1 i0 ret0
-          Result.ret (List.Cons x1 tl10)
-    | List.Nil => Result.fail Error.panic
-  | List.Nil => Result.fail Error.panic
-
-/- [loops::list_nth_shared_mut_loop_pair_merge]: backward function 0 -/
-def list_nth_shared_mut_loop_pair_merge_back
-  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) :
-  Result (List T)
-  :=
-  list_nth_shared_mut_loop_pair_merge_loop_back T ls0 ls1 i ret0
-
-end loops
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