diff --git a/collects/tests/typed-scheme/succeed/racunit.ss b/collects/tests/typed-scheme/succeed/racunit.ss
new file mode 100644
index 00000000..619b0f6b
--- /dev/null
+++ b/collects/tests/typed-scheme/succeed/racunit.ss
@@ -0,0 +1,18 @@
+#lang typed/scheme
+
+(require typed/racunit)
+
+(: my-+ : Integer Integer -> Integer)
+(define (my-+ a b)
+  (if (zero? a)
+      b
+      (my-+ (sub1 a) (add1 b))))
+
+(: my-* : Integer Integer -> Integer)
+(define (my-* a b)
+  (if (zero? a)
+      b
+      (my-* (sub1 a) (my-+ b b))))
+
+(check-equal? (my-+ 1 1) 2 "Simple addition")
+(check-equal? (my-* 1 2) 2 "Simple multiplication")
\ No newline at end of file
diff --git a/collects/typed/racunit/main.rkt b/collects/typed/racunit/main.rkt
index 5580c8d2..619f400a 100644
--- a/collects/typed/racunit/main.rkt
+++ b/collects/typed/racunit/main.rkt
@@ -2,12 +2,11 @@
 (require typed/private/utils)
 
 (define-type check-ish-ty
-  (All (A B)
-       (case-lambda
-         (A B -> #t)
-         (A B String -> #t))))
-(define-type (Predicate A) (A -> Boolean))
-(define-type (Thunk A) (-> A))
+  (case-lambda
+    (Any Any -> Void)
+    (Any Any String -> Void)))
+(define-type (Predicate A) (Any -> Boolean))
+(define-type (Thunk A) (-> Any))
 
 ; 3.2
 (require/typed/provide