diff --git a/private/global.rkt b/private/global.rkt
index 55f6bee..1408c2b 100644
--- a/private/global.rkt
+++ b/private/global.rkt
@@ -44,11 +44,13 @@
   (make-~global #'aggregate-global-or #'#t))
 
 (define (aggregate-global-and . bs)
-  (true? ;; force the result to be a boolean, the order of terms is unimportant
-   (andmap unbox ;; remove the layer of protection
-           (cons (box-immutable 'none) ;; default value when no bindings matched
-                 (filter identity ;; remove failed bindings
-                         (flatten bs)))))) ;; don't care about ellipsis nesting
+  (let ([matches (filter identity ;; remove failed bindings
+                         (flatten bs))])
+    (if (null? matches)
+        'none ;; no matches occurred
+        (true? ;; coerce to boolean, so that the order of terms is unimportant
+         (andmap unbox ;; remove the layer of protection
+                 matches))))) ;; don't care about ellipsis nesting
 (define-eh-mixin-expander ~global-and
   (make-~global #'aggregate-global-and))
 
diff --git a/scribblings/extensible-parser-specifications.scrbl b/scribblings/extensible-parser-specifications.scrbl
index 97a155d..5008599 100644
--- a/scribblings/extensible-parser-specifications.scrbl
+++ b/scribblings/extensible-parser-specifications.scrbl
@@ -262,8 +262,13 @@ the notion of order irrelevant.
  matches of a global pattern using the same @racket[#,tribute-name]. See above
  for a description of how global operations work.
 
- The result is always transformed into a boolean, so @racket[_attribute-name] is
- always bound to either @racket[#t] or @racket[#f].}
+ If there is at least one occurrence of @racket[~global-and] for that
+ @racket[_attribute-name] which successfully matches, the result of the
+ @racket[(and valueᵢ ...)] is always coerced to a boolean, so
+ @racket[_attribute-name] is always bound to either @racket[#t] or @racket[#f].
+
+ If there are no matches at all, the special value @racket['none] is used
+ instead of @racket[#t] as would be produced by @racket[(and)].}
 
 @defform[(~global-counter attribute-name+value #,ntax-pattern ...)
          #:grammar