diff --git a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/infer/infer-unit.rkt b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/infer/infer-unit.rkt
index 0c2dc2b8..548325ad 100644
--- a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/infer/infer-unit.rkt
+++ b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/infer/infer-unit.rkt
@@ -400,7 +400,19 @@
           [(a b) #:when (type-equal? a b) empty]
           ;; CG-Top
           [(_ (Univ:)) empty]
-          [(_ (AnyValues:)) empty]
+          ;; AnyValues
+          [((AnyValues: s-f) (AnyValues: t-f))
+           (cgen/filter V X Y s-f t-f)]
+
+          [((or (Values: (list (Result: _ fs _) ...))
+                (ValuesDots: (list (Result: _ fs _) ...) _ _))
+            (AnyValues: t-f))
+           (cset-join
+             (filter identity
+               (for/list ([f (in-list fs)])
+                 (match f
+                   [(FilterSet: f+ f-)
+                    (% cset-meet (cgen/filter V X Y f+ t-f) (cgen/filter V X Y f- t-f))]))))]
 
           ;; check all non Type/c first so that calling subtype is safe
 
diff --git a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/infer/promote-demote.rkt b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/infer/promote-demote.rkt
index 2f828b26..5b407603 100644
--- a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/infer/promote-demote.rkt
+++ b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/infer/promote-demote.rkt
@@ -19,7 +19,7 @@
 ;; extract filters out of the range of a function type
 (define (get-filters rng)
   (match rng
-    [(AnyValues:) null]
+    [(AnyValues: f) (list (-FS f f))]
     [(Values: (list (Result: _ lf _) ...)) lf]
     [(ValuesDots: (list (Result: _ lf _) ...) _ _) lf]))
 
diff --git a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/rep/type-rep.rkt b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/rep/type-rep.rkt
index bfae170d..70e9f182 100644
--- a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/rep/type-rep.rkt
+++ b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/rep/type-rep.rkt
@@ -292,7 +292,7 @@
   [#:fold-rhs (*Values (map type-rec-id rs))])
 
 
-(def-type AnyValues ()
+(def-type AnyValues ([f Filter/c])
   [#:fold-rhs #:base])
 
 (def-type ValuesDots ([rs (listof Result?)] [dty Type/c] [dbound (or/c symbol? natural-number/c)])
diff --git a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/typecheck/tc-app-helper.rkt b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/typecheck/tc-app-helper.rkt
index 2d348db5..447eaca3 100644
--- a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/typecheck/tc-app-helper.rkt
+++ b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/typecheck/tc-app-helper.rkt
@@ -50,7 +50,8 @@
                           [ta (in-sequence-forever (in-list t-a) #f)])
                          (values oa ta))])
            (match rng
-            [(AnyValues:) tc-any-results]
+            ;; TODO add filters to tc-any-results
+            [(AnyValues: f) tc-any-results]
             [(Values: results)
              (define-values (t-r f-r o-r)
                (for/lists (t-r f-r o-r)
@@ -248,7 +249,7 @@
     (map (compose make-Function list make-arr)
          doms
          (map (match-lambda ; strip filters
-               [(AnyValues:) ManyUniv]
+               [(AnyValues: f) (-AnyValues f)]
                [(Values: (list (Result: t _ _) ...))
                 (-values t)]
                [(ValuesDots: (list (Result: t _ _) ...) _ _)
diff --git a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/typecheck/tc-metafunctions.rkt b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/typecheck/tc-metafunctions.rkt
index 8920f33e..f8e8a1c6 100644
--- a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/typecheck/tc-metafunctions.rkt
+++ b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/typecheck/tc-metafunctions.rkt
@@ -73,7 +73,7 @@
   (tc-results/c (listof identifier?) . -> . SomeValues/c)
   (define keys (for/list ([(nm k) (in-indexed arg-names)]) (list 0 k)))
   (match results
-    [(tc-any-results:) (make-AnyValues)]
+    [(tc-any-results:) ManyUniv]
     [(tc-results: ts fs os dty dbound)
      (make-ValuesDots
       (for/list ([t (in-list ts)] [f (in-list fs)] [o (in-list os)])
diff --git a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/typecheck/tc-subst.rkt b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/typecheck/tc-subst.rkt
index 79edd3f9..bf743184 100644
--- a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/typecheck/tc-subst.rkt
+++ b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/typecheck/tc-subst.rkt
@@ -165,7 +165,8 @@
 (define/cond-contract (values->tc-results tc formals)
   (SomeValues/c (or/c #f (listof identifier?)) . -> . tc-results/c)
   (match tc
-    [(AnyValues:) tc-any-results]
+    ;; TODO make tc-any-results have a filter
+    [(AnyValues: f) tc-any-results]
     [(ValuesDots: (list (and rs (Result: ts fs os)) ...) dty dbound)
      (if formals
          (let-values ([(ts fs os)
diff --git a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/base-abbrev.rkt b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/base-abbrev.rkt
index 036c8b43..339ea368 100644
--- a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/base-abbrev.rkt
+++ b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/base-abbrev.rkt
@@ -40,10 +40,6 @@
 (define/decl -False (make-Value #f))
 (define/decl -True (make-Value #t))
 
-;; A Type that corresponds to the any contract for the
-;; return type of functions
-(define/decl ManyUniv (make-AnyValues))
-
 (define -val make-Value)
 
 ;; Char type and List type (needed because of how sequences are checked in subtype)
@@ -160,6 +156,11 @@
     [(Path: p i) (-not-filter t i p)]
     [_ -top]))
 
+;; A Type that corresponds to the any contract for the
+;; return type of functions
+(define (-AnyValues f) (make-AnyValues f))
+(define/decl ManyUniv (make-AnyValues -top))
+
 ;; Function types
 (define/cond-contract (make-arr* dom rng
                                  #:rest [rest #f] #:drest [drest #f] #:kws [kws null]
diff --git a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/kw-types.rkt b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/kw-types.rkt
index 3c03b316..a7b1bfd9 100644
--- a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/kw-types.rkt
+++ b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/kw-types.rkt
@@ -76,7 +76,7 @@
 ;; keyword conversion.
 (define (erase-filter/Values values)
   (match values
-    [(AnyValues:) values]
+    [(AnyValues: _) ManyUniv]
     [(Results: ts fs os)
      (-values ts)]
     [(Results: ts fs os dty dbound)
diff --git a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/printer.rkt b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/printer.rkt
index 8df5c43e..18228d0a 100644
--- a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/printer.rkt
+++ b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/printer.rkt
@@ -239,7 +239,8 @@
                     (cdr drest)))
           null)
       (match rng
-        [(AnyValues:) '(AnyValues)]
+        [(AnyValues: (Top:)) '(AnyValues)]
+        [(AnyValues: f) `(AnyValues : ,(type->sexp f))]
         [(Values: (list (Result: t (FilterSet: (Top:) (Top:)) (Empty:))))
          (list (type->sexp t))]
         [(Values: (list (Result: t
@@ -478,7 +479,8 @@
      `(List ,(t->s dty) ,@dbound*)]
     [(F: nm) nm]
     ;; FIXME (Values are not types and shouldn't need to be considered here
-    [(AnyValues:) 'AnyValues]
+    [(AnyValues: (Top:)) 'AnyValues]
+    [(AnyValues: f) `(AnyValues : ,(filter->sexp f))]
     [(Values: (list v)) v]
     [(Values: (list v ...)) (cons 'values (map t->s v))]
     [(ValuesDots: v dty dbound)
diff --git a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/structural.rkt b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/structural.rkt
index 9c5550b7..0b51cd3f 100644
--- a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/structural.rkt
+++ b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/structural.rkt
@@ -72,7 +72,7 @@
      ;; Non Types
      [Result (#:co #:co #:co)]
      [Values ((#:listof #:co))]
-     [AnyValues ()]))
+     [AnyValues (#:co)]))
 
 (begin-for-syntax
   (define-syntax-class type-name
diff --git a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/subtype.rkt b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/subtype.rkt
index d368a908..23b3ece1 100644
--- a/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/subtype.rkt
+++ b/pkgs/typed-racket-pkgs/typed-racket-lib/typed-racket/types/subtype.rkt
@@ -256,7 +256,6 @@
          ;; these cases are above as special cases
          ;; [((Union: (list)) _) A0] ;; this is extremely common, so it goes first
          ;; [(_ (Univ:)) A0]
-         [((or (ValuesDots: _ _ _) (Values: _) (AnyValues:)) (AnyValues:)) A0]
          ;; error is top and bot
          [(_ (Error:)) A0]
          [((Error:) _) A0]
@@ -556,6 +555,15 @@
           (subtype-seq A0
                        (subtypes* s-rs t-rs)
                        (subtype* s-dty t-dty))]
+         [((AnyValues: s-f) (AnyValues: t-f))
+          (filter-subtype* A0 s-f t-f)]
+         [((or (Values: (list (Result: _ fs _) ...))
+               (ValuesDots: (list (Result: _ fs _) ...) _ _))
+           (AnyValues: t-f))
+          (for/or ([f (in-list fs)])
+            (match f
+              [(FilterSet: f+ f-)
+               (and (filter-subtype* A0 f+ t-f) (filter-subtype* A0 f+ t-f) A0)]))]
          [((Result: t (FilterSet: ft ff) o) (Result: t* (FilterSet: ft* ff*) o))
           (subtype-seq A0
                        (subtype* t t*)