Merge branch 'main' into afromher_shifts

1 files changed, 686 insertions, 1 deletions

diff --git a/tests/lean/Loops.lean b/tests/lean/Loops.lean
index 60c73776..08aa08a5 100644
--- a/tests/lean/Loops.lean
+++ b/tests/lean/Loops.lean
@@ -1 +1,686 @@
-import Loops.Funs
+-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS
+-- [loops]
+import Base
+open Primitives
+
+namespace loops
+
+/- [loops::sum]: loop 0: forward function
+   Source: 'src/loops.rs', lines 4:0-14:1 -/
+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
+   Source: 'src/loops.rs', lines 4:0-4:27 -/
+def sum (max : U32) : Result U32 :=
+  sum_loop max 0#u32 0#u32
+
+/- [loops::sum_with_mut_borrows]: loop 0: forward function
+   Source: 'src/loops.rs', lines 19:0-31:1 -/
+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
+   Source: 'src/loops.rs', lines 19:0-19:44 -/
+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
+   Source: 'src/loops.rs', lines 34:0-48:1 -/
+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
+   Source: 'src/loops.rs', lines 34:0-34:47 -/
+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 ())
+   Source: 'src/loops.rs', lines 52:0-58:1 -/
+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.SliceIndexUsizeSliceTInst 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 ())
+   Source: 'src/loops.rs', lines 52:0-52:30 -/
+def clear (v : alloc.vec.Vec U32) : Result (alloc.vec.Vec U32) :=
+  clear_loop v 0#usize
+
+/- [loops::List]
+   Source: 'src/loops.rs', lines 60:0-60:16 -/
+inductive List (T : Type) :=
+| Cons : T → List T → List T
+| Nil : List T
+
+/- [loops::list_mem]: loop 0: forward function
+   Source: 'src/loops.rs', lines 66:0-75:1 -/
+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
+   Source: 'src/loops.rs', lines 66:0-66:52 -/
+def list_mem (x : U32) (ls : List U32) : Result Bool :=
+  list_mem_loop x ls
+
+/- [loops::list_nth_mut_loop]: loop 0: forward function
+   Source: 'src/loops.rs', lines 78:0-88:1 -/
+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 .panic
+
+/- [loops::list_nth_mut_loop]: forward function
+   Source: 'src/loops.rs', lines 78:0-78:71 -/
+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
+   Source: 'src/loops.rs', lines 78:0-88:1 -/
+divergent def list_nth_mut_loop_loop_back
+  (T : Type) (ls : List T) (i : U32) (ret : T) : Result (List T) :=
+  match ls with
+  | List.Cons x tl =>
+    if i = 0#u32
+    then Result.ret (List.Cons ret tl)
+    else
+      do
+        let i0 ← i - 1#u32
+        let tl0 ← list_nth_mut_loop_loop_back T tl i0 ret
+        Result.ret (List.Cons x tl0)
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_mut_loop]: backward function 0
+   Source: 'src/loops.rs', lines 78:0-78:71 -/
+def list_nth_mut_loop_back
+  (T : Type) (ls : List T) (i : U32) (ret : T) : Result (List T) :=
+  list_nth_mut_loop_loop_back T ls i ret
+
+/- [loops::list_nth_shared_loop]: loop 0: forward function
+   Source: 'src/loops.rs', lines 91:0-101:1 -/
+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 .panic
+
+/- [loops::list_nth_shared_loop]: forward function
+   Source: 'src/loops.rs', lines 91:0-91:66 -/
+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
+   Source: 'src/loops.rs', lines 103:0-117:1 -/
+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 .panic
+
+/- [loops::get_elem_mut]: forward function
+   Source: 'src/loops.rs', lines 103:0-103:73 -/
+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.SliceIndexUsizeSliceTInst (List Usize)) slots 0#usize
+    get_elem_mut_loop x l
+
+/- [loops::get_elem_mut]: loop 0: backward function 0
+   Source: 'src/loops.rs', lines 103:0-117:1 -/
+divergent def get_elem_mut_loop_back
+  (x : Usize) (ls : List Usize) (ret : Usize) : Result (List Usize) :=
+  match ls with
+  | List.Cons y tl =>
+    if y = x
+    then Result.ret (List.Cons ret tl)
+    else
+      do
+        let tl0 ← get_elem_mut_loop_back x tl ret
+        Result.ret (List.Cons y tl0)
+  | List.Nil => Result.fail .panic
+
+/- [loops::get_elem_mut]: backward function 0
+   Source: 'src/loops.rs', lines 103:0-103:73 -/
+def get_elem_mut_back
+  (slots : alloc.vec.Vec (List Usize)) (x : Usize) (ret : Usize) :
+  Result (alloc.vec.Vec (List Usize))
+  :=
+  do
+    let l ←
+      alloc.vec.Vec.index_mut (List Usize) Usize
+        (core.slice.index.SliceIndexUsizeSliceTInst (List Usize)) slots 0#usize
+    let l0 ← get_elem_mut_loop_back x l ret
+    alloc.vec.Vec.index_mut_back (List Usize) Usize
+      (core.slice.index.SliceIndexUsizeSliceTInst (List Usize)) slots 0#usize
+      l0
+
+/- [loops::get_elem_shared]: loop 0: forward function
+   Source: 'src/loops.rs', lines 119:0-133:1 -/
+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 .panic
+
+/- [loops::get_elem_shared]: forward function
+   Source: 'src/loops.rs', lines 119:0-119:68 -/
+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.SliceIndexUsizeSliceTInst (List Usize)) slots 0#usize
+    get_elem_shared_loop x l
+
+/- [loops::id_mut]: forward function
+   Source: 'src/loops.rs', lines 135:0-135:50 -/
+def id_mut (T : Type) (ls : List T) : Result (List T) :=
+  Result.ret ls
+
+/- [loops::id_mut]: backward function 0
+   Source: 'src/loops.rs', lines 135:0-135:50 -/
+def id_mut_back (T : Type) (ls : List T) (ret : List T) : Result (List T) :=
+  Result.ret ret
+
+/- [loops::id_shared]: forward function
+   Source: 'src/loops.rs', lines 139:0-139:45 -/
+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
+   Source: 'src/loops.rs', lines 144:0-155:1 -/
+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 .panic
+
+/- [loops::list_nth_mut_loop_with_id]: forward function
+   Source: 'src/loops.rs', lines 144:0-144:75 -/
+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
+   Source: 'src/loops.rs', lines 144:0-155:1 -/
+divergent def list_nth_mut_loop_with_id_loop_back
+  (T : Type) (i : U32) (ls : List T) (ret : T) : Result (List T) :=
+  match ls with
+  | List.Cons x tl =>
+    if i = 0#u32
+    then Result.ret (List.Cons ret tl)
+    else
+      do
+        let i0 ← i - 1#u32
+        let tl0 ← list_nth_mut_loop_with_id_loop_back T i0 tl ret
+        Result.ret (List.Cons x tl0)
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_mut_loop_with_id]: backward function 0
+   Source: 'src/loops.rs', lines 144:0-144:75 -/
+def list_nth_mut_loop_with_id_back
+  (T : Type) (ls : List T) (i : U32) (ret : T) : Result (List T) :=
+  do
+    let ls0 ← id_mut T ls
+    let l ← list_nth_mut_loop_with_id_loop_back T i ls0 ret
+    id_mut_back T ls l
+
+/- [loops::list_nth_shared_loop_with_id]: loop 0: forward function
+   Source: 'src/loops.rs', lines 158:0-169:1 -/
+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 .panic
+
+/- [loops::list_nth_shared_loop_with_id]: forward function
+   Source: 'src/loops.rs', lines 158:0-158:70 -/
+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
+   Source: 'src/loops.rs', lines 174:0-195:1 -/
+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 .panic
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_mut_loop_pair]: forward function
+   Source: 'src/loops.rs', lines 174:0-178:27 -/
+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
+   Source: 'src/loops.rs', lines 174:0-195:1 -/
+divergent def list_nth_mut_loop_pair_loop_back'a
+  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : 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 ret tl0)
+      else
+        do
+          let i0 ← i - 1#u32
+          let tl00 ← list_nth_mut_loop_pair_loop_back'a T tl0 tl1 i0 ret
+          Result.ret (List.Cons x0 tl00)
+    | List.Nil => Result.fail .panic
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_mut_loop_pair]: backward function 0
+   Source: 'src/loops.rs', lines 174:0-178:27 -/
+def list_nth_mut_loop_pair_back'a
+  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) :
+  Result (List T)
+  :=
+  list_nth_mut_loop_pair_loop_back'a T ls0 ls1 i ret
+
+/- [loops::list_nth_mut_loop_pair]: loop 0: backward function 1
+   Source: 'src/loops.rs', lines 174:0-195:1 -/
+divergent def list_nth_mut_loop_pair_loop_back'b
+  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : 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 ret tl1)
+      else
+        do
+          let i0 ← i - 1#u32
+          let tl10 ← list_nth_mut_loop_pair_loop_back'b T tl0 tl1 i0 ret
+          Result.ret (List.Cons x1 tl10)
+    | List.Nil => Result.fail .panic
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_mut_loop_pair]: backward function 1
+   Source: 'src/loops.rs', lines 174:0-178:27 -/
+def list_nth_mut_loop_pair_back'b
+  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) :
+  Result (List T)
+  :=
+  list_nth_mut_loop_pair_loop_back'b T ls0 ls1 i ret
+
+/- [loops::list_nth_shared_loop_pair]: loop 0: forward function
+   Source: 'src/loops.rs', lines 198:0-219:1 -/
+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 .panic
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_shared_loop_pair]: forward function
+   Source: 'src/loops.rs', lines 198:0-202:19 -/
+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
+   Source: 'src/loops.rs', lines 223:0-238:1 -/
+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 .panic
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_mut_loop_pair_merge]: forward function
+   Source: 'src/loops.rs', lines 223:0-227:27 -/
+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
+   Source: 'src/loops.rs', lines 223:0-238:1 -/
+divergent def list_nth_mut_loop_pair_merge_loop_back
+  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : (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) := ret
+           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 ret
+          Result.ret (List.Cons x0 tl00, List.Cons x1 tl10)
+    | List.Nil => Result.fail .panic
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_mut_loop_pair_merge]: backward function 0
+   Source: 'src/loops.rs', lines 223:0-227:27 -/
+def list_nth_mut_loop_pair_merge_back
+  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : (T × T)) :
+  Result ((List T) × (List T))
+  :=
+  list_nth_mut_loop_pair_merge_loop_back T ls0 ls1 i ret
+
+/- [loops::list_nth_shared_loop_pair_merge]: loop 0: forward function
+   Source: 'src/loops.rs', lines 241:0-256:1 -/
+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 .panic
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_shared_loop_pair_merge]: forward function
+   Source: 'src/loops.rs', lines 241:0-245:19 -/
+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
+   Source: 'src/loops.rs', lines 259:0-274:1 -/
+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 .panic
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_mut_shared_loop_pair]: forward function
+   Source: 'src/loops.rs', lines 259:0-263:23 -/
+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
+   Source: 'src/loops.rs', lines 259:0-274:1 -/
+divergent def list_nth_mut_shared_loop_pair_loop_back
+  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : 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 ret tl0)
+      else
+        do
+          let i0 ← i - 1#u32
+          let tl00 ← list_nth_mut_shared_loop_pair_loop_back T tl0 tl1 i0 ret
+          Result.ret (List.Cons x0 tl00)
+    | List.Nil => Result.fail .panic
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_mut_shared_loop_pair]: backward function 0
+   Source: 'src/loops.rs', lines 259:0-263:23 -/
+def list_nth_mut_shared_loop_pair_back
+  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) :
+  Result (List T)
+  :=
+  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
+   Source: 'src/loops.rs', lines 278:0-293:1 -/
+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 .panic
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_mut_shared_loop_pair_merge]: forward function
+   Source: 'src/loops.rs', lines 278:0-282:23 -/
+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
+   Source: 'src/loops.rs', lines 278:0-293:1 -/
+divergent def list_nth_mut_shared_loop_pair_merge_loop_back
+  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : 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 ret tl0)
+      else
+        do
+          let i0 ← i - 1#u32
+          let tl00 ←
+            list_nth_mut_shared_loop_pair_merge_loop_back T tl0 tl1 i0 ret
+          Result.ret (List.Cons x0 tl00)
+    | List.Nil => Result.fail .panic
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_mut_shared_loop_pair_merge]: backward function 0
+   Source: 'src/loops.rs', lines 278:0-282:23 -/
+def list_nth_mut_shared_loop_pair_merge_back
+  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) :
+  Result (List T)
+  :=
+  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
+   Source: 'src/loops.rs', lines 297:0-312:1 -/
+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 .panic
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_shared_mut_loop_pair]: forward function
+   Source: 'src/loops.rs', lines 297:0-301:23 -/
+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
+   Source: 'src/loops.rs', lines 297:0-312:1 -/
+divergent def list_nth_shared_mut_loop_pair_loop_back
+  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : 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 ret tl1)
+      else
+        do
+          let i0 ← i - 1#u32
+          let tl10 ← list_nth_shared_mut_loop_pair_loop_back T tl0 tl1 i0 ret
+          Result.ret (List.Cons x1 tl10)
+    | List.Nil => Result.fail .panic
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_shared_mut_loop_pair]: backward function 1
+   Source: 'src/loops.rs', lines 297:0-301:23 -/
+def list_nth_shared_mut_loop_pair_back
+  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) :
+  Result (List T)
+  :=
+  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
+   Source: 'src/loops.rs', lines 316:0-331:1 -/
+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 .panic
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_shared_mut_loop_pair_merge]: forward function
+   Source: 'src/loops.rs', lines 316:0-320:23 -/
+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
+   Source: 'src/loops.rs', lines 316:0-331:1 -/
+divergent def list_nth_shared_mut_loop_pair_merge_loop_back
+  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : 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 ret tl1)
+      else
+        do
+          let i0 ← i - 1#u32
+          let tl10 ←
+            list_nth_shared_mut_loop_pair_merge_loop_back T tl0 tl1 i0 ret
+          Result.ret (List.Cons x1 tl10)
+    | List.Nil => Result.fail .panic
+  | List.Nil => Result.fail .panic
+
+/- [loops::list_nth_shared_mut_loop_pair_merge]: backward function 0
+   Source: 'src/loops.rs', lines 316:0-320:23 -/
+def list_nth_shared_mut_loop_pair_merge_back
+  (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) :
+  Result (List T)
+  :=
+  list_nth_shared_mut_loop_pair_merge_loop_back T ls0 ls1 i ret
+
+end loops