diff --git a/Main.lean b/Main.lean
index 60e6837..1c3fa61 100644
--- a/Main.lean
+++ b/Main.lean
@@ -222,12 +222,15 @@ def primitiveTargets : M (Array Lean.Name) := do
     ``Nat.shiftLeft,
     ``Nat.shiftRight,
     ``String.ofList,
+    ``Char.ofNat,
+    ``List,
+    ``eagerReduce,
   ]
 
 def builtinTargets : M (Array Lean.Name) := do
   if ← getNanodaEnabled then
     -- TODO: fix when nanoda fixes its string handling
-    let mut additional := #[``Nat, ``String, ``String.mk, ``Char, ``Char.ofNat, ``List]
+    let mut additional := #[``Nat, ``String, ``String.mk, ``Char]
     if (← getLegalAxioms).contains ``Quot.sound then
       additional := additional ++ #[``Quot, ``Quot.mk, ``Quot.lift, ``Quot.ind]
     return additional
diff --git a/tests/projects/char_ofnat_issue/Challenge.lean b/tests/projects/char_ofnat_issue/Challenge.lean
new file mode 100644
index 0000000..a5626c9
--- /dev/null
+++ b/tests/projects/char_ofnat_issue/Challenge.lean
@@ -0,0 +1 @@
+theorem boom : False := sorry
diff --git a/tests/projects/char_ofnat_issue/Solution.lean b/tests/projects/char_ofnat_issue/Solution.lean
new file mode 100644
index 0000000..363caef
--- /dev/null
+++ b/tests/projects/char_ofnat_issue/Solution.lean
@@ -0,0 +1,60 @@
+prelude
+set_option genCtorIdx false
+set_option linter.all false
+
+unsafe axiom lcErased : Type
+unsafe axiom lcAny : Type
+unsafe axiom lcVoid : Type
+
+universe u
+
+inductive False : Prop
+
+inductive True' : Prop where
+  | intro : True'
+
+inductive Unit'' where
+  | intro : Unit''
+
+inductive Nat where
+  | zero : Nat
+  | succ (n : Nat) : Nat
+
+-- `Char` is a structure whose field is a PROOF OF FALSE, so `Char.n : Char → False`.
+-- Char is uninhabited; we never build one.
+structure Char : Type where
+  mk ::
+  n : False
+
+-- `Box` is a structure with an INHABITED field.
+structure Box : Type where
+  mk ::
+  f : True'
+
+inductive List (α : Type u) where
+  | nil : List α
+  | cons (hd : α) (tl : List α) : List α
+
+structure String where
+  ofList ::
+  data : List Char
+
+-- THE MISSING CHECK: the kernel never verifies `Char.ofNat : Nat → Char`.
+-- We declare it returning `Box` instead.
+noncomputable def Char.ofNat (n : Nat) : Box := Box.mk True'.intro
+
+-- motive: `M nil = Unit''`, `M (cons ..) = Char`, so `head` needs no `Char` for the nil case
+noncomputable def M (l : List Char) : Type :=
+  @List.rec Char (fun _ => Type) Unit'' (fun _ _ _ => Char) l
+
+noncomputable def head (l : List Char) : M l :=
+  @List.rec Char M Unit''.intro (fun hd _ _ => hd) l
+
+-- `String.data "\x02"` projects the literal.  reduceProj expands it to
+--   String.ofList (List.cons (Char.ofNat 2) List.nil)
+-- and returns the list, which `inferProj` types as `List Char`.
+-- Its head is really a `Box`, but the kernel types it as `Char`.
+noncomputable def confused : Char := head (String.data "\x02")
+
+-- `Char.n` is `proj Char 0`, so it hands back Box's field -- typed as `False`.
+theorem boom : False := Char.n confused
diff --git a/tests/projects/char_ofnat_issue/config.json b/tests/projects/char_ofnat_issue/config.json
new file mode 100644
index 0000000..f69c38c
--- /dev/null
+++ b/tests/projects/char_ofnat_issue/config.json
@@ -0,0 +1,7 @@
+{
+    "challenge_module": "Challenge",
+    "solution_module": "Solution",
+    "theorem_names": ["boom"],
+    "permitted_axioms": ["propext", "Quot.sound", "Classical.choice"],
+    "enable_nanoda": false
+}
diff --git a/tests/projects/char_ofnat_issue/test.json b/tests/projects/char_ofnat_issue/test.json
new file mode 100644
index 0000000..fe08d6a
--- /dev/null
+++ b/tests/projects/char_ofnat_issue/test.json
@@ -0,0 +1,3 @@
+{
+        "exit_code": 1
+}