diff --git a/lib/check.ml b/lib/check.ml
index 99b8955..679d21d 100644
--- a/lib/check.ml
+++ b/lib/check.ml
@@ -4645,6 +4645,26 @@ and named_call ctx ~want loc name args =
                  float goes through (i32 x) first" name
          (Types.to_string other));
     prim (Tast.Cast target) target [ a ]
+  (* A cast to a *type variable*: [(t x)] inside a generic body. The name is
+     not one [is_cast] knows, because [is_cast] asks whether the name is a
+     machine type and [t] is not — so this is its own arm, above the ordinary
+     one and below the enums, and it reaches the same [Cast] prim.
+
+     Inside an instantiation [resolve_name] has already answered with the
+     concrete target, so the copy casts to a real type and the emitter sees
+     nothing unusual. During the abstract pass the target is [Var t] and the
+     [where] clause is what says the cast means anything at all: a cast
+     produces a number, so [numeric?] is what admits it. *)
+  | _ when (List.mem name ctx.env.tyvars || List.mem_assoc name ctx.env.subst)
+           && List.length args = 1 ->
+    let target = resolve_name ctx.env ~seen:[] loc name in
+    unconstrained ctx.env loc ("a cast to " ^ name) ~needs:"numeric?" target;
+    let a = check ctx (List.hd args) in
+    (match a.Tast.ty with
+     | Types.Enum _ -> ()
+     | t when Types.is_numeric t || generic_ty t -> ()
+     | t -> fail loc "%s converts a number, found %s" name (Types.to_string t));
+    prim (Tast.Cast target) target [ a ]
   | _ when is_cast name && List.length args = 1 ->
     let target = resolve_name ctx.env ~seen:[] loc name in
     let a = check ctx (List.hd args) in
diff --git a/test/programs/generics.flan b/test/programs/generics.flan
index 44d4220..1f83cd5 100644
--- a/test/programs/generics.flan
+++ b/test/programs/generics.flan
@@ -62,6 +62,30 @@
   {:where (copyable? $t)}
   (println x))
 
+;; A cast to a type variable. [(t x)] is not a name [is_cast] knows — [t] is
+;; not a machine type — so it is its own arm, and [numeric?] is what admits
+;; it, because a cast produces a number. Inside the copy the target is
+;; concrete and the emitter sees an ordinary cast.
+(defn widen [x i32  d $t] $t
+  {:where (numeric? $t)}
+  (do d (t x)))
+
+;; The builtins that take a *type name* as an argument, over a variable. Each
+;; reaches the one list of what names a type, so all three came at once.
+;; (pool-new t) and (map-new t i32) are the other two; a Pool of a variable
+;; needs it not to be move-only, which [copyable?] is.
+(defn one-of [x $t] (Vec $t)
+  {:where (copyable? $t)}
+  (let [v (vec-new t)]
+    (push v x)
+    v))
+
+;; (zeroed) takes its type from the position it is written in, so a variable
+;; in that position is answered by the instantiation like any other type.
+(defn zero-of [x $t] $t
+  {:where (copyable? $t)}
+  (do x (zeroed)))
+
 (defn main [] ()
   (println (ident 3))
   (println (ident 4.5))
@@ -98,8 +122,15 @@
     (match (min-of (slice ns 0 4)) (Some m) (println m) _ (println -1))
     (match (max-of (slice fs 0 3)) (Some m) (println m) _ (println -1.0))
     (match (index-of (slice ns 0 4) 18) (Some i) (println i) _ (println -1))
+    (println (widen 3 0.0))
+    (println (widen 3 (i64 0)))
+    (println (zero-of 9))
+
     (let [a (arena-new 4096)
-          keep (filter (slice ns 0 4) (fn [x] (> x 5)))]
+          keep (filter (slice ns 0 4) (fn [x] (> x 5)))
+          one (one-of 4.5)]
       (println (len (as-slice keep)))
+      (println (at (as-slice one) 0))
+      (free one)
       (free keep)
       (free-all a))))
diff --git a/test/test_acceptance.ml b/test/test_acceptance.ml
index 7351bce..30f0507 100644
--- a/test/test_acceptance.ml
+++ b/test/test_acceptance.ml
@@ -1323,7 +1323,10 @@ let () =
     (* Generics end to end: one written body per family, several emitted, and
        the collapsed prelude running underneath it. Every line of the expected
        output is an answer a per-type copy used to give. *)
-    let generics_out = "3\n4.5\ntrue\n7\n5\n-1\n5\n42\n3\n1\n10\n1\n8\n3\n4.5\ntext\n1\n2.5\n9\n36\n2\n2.5\n0\n3\n" in
+    let generics_out =
+      "3\n4.5\ntrue\n7\n5\n-1\n5\n42\n3\n1\n10\n1\n8\n\
+       3\n4.5\ntext\n1\n2.5\n9\n36\n2\n2.5\n0\n3\n3\n0\n3\n4.5\n"
+    in
     outputs "generics" "programs/generics.flan" generics_out;
     outputs ~opt:"-O0" "generics, -O0" "programs/generics.flan" generics_out;