diff --git a/document/core/valid/modules.rst b/document/core/valid/modules.rst
index d982ca34e..ac4f4d720 100644
--- a/document/core/valid/modules.rst
+++ b/document/core/valid/modules.rst
@@ -719,10 +719,9 @@ The :ref:`external types <syntax-externtype>` classifying a module may contain f
 
   * all other fields are empty.
 
-* Under the context :math:`C'`,
-  the sequence :math:`\module.\MGLOBALS` of :ref:`globals <syntax-global>` must be :ref:`valid <valid-globalseq>` with a sequence :math:`\X{gt}^\ast` of :ref:`global types <syntax-globaltype>`.
+* Under the context :math:`C'`:
 
-* Under the context :math:`C`:
+  * The sequence :math:`\module.\MGLOBALS` of :ref:`globals <syntax-global>` must be :ref:`valid <valid-globalseq>` with a sequence :math:`\X{gt}^\ast` of :ref:`global types <syntax-globaltype>`.
 
   * For each :math:`\table_i` in :math:`\module.\MTABLES`,
     the definition :math:`\table_i` must be :ref:`valid <valid-table>` with a :ref:`table type <syntax-tabletype>` :math:`\X{tt}_i`.
@@ -730,6 +729,8 @@ The :ref:`external types <syntax-externtype>` classifying a module may contain f
   * For each :math:`\mem_i` in :math:`\module.\MMEMS`,
     the definition :math:`\mem_i` must be :ref:`valid <valid-mem>` with a :ref:`memory type <syntax-memtype>` :math:`\X{mt}_i`.
 
+* Under the context :math:`C`:
+
   * For each :math:`\func_i` in :math:`\module.\MFUNCS`,
     the definition :math:`\func_i` must be :ref:`valid <valid-func>` with a :ref:`function type <syntax-functype>` :math:`\X{ft}_i`.
 
@@ -773,9 +774,9 @@ The :ref:`external types <syntax-externtype>` classifying a module may contain f
      \quad
      C' \vdashglobalseq \global^\ast : \X{gt}^\ast
      \quad
-     (C \vdashtable \table : \X{tt})^\ast
+     (C' \vdashtable \table : \X{tt})^\ast
      \quad
-     (C \vdashmem \mem : \X{mt})^\ast
+     (C' \vdashmem \mem : \X{mt})^\ast
      \quad
      (C \vdashfunc \func : \X{ft})^\ast
      \\
diff --git a/interpreter/valid/valid.ml b/interpreter/valid/valid.ml
index 5a28beb63..e14fc6d36 100644
--- a/interpreter/valid/valid.ml
+++ b/interpreter/valid/valid.ml
@@ -1055,9 +1055,9 @@ let check_module (m : module_) =
     |> check_list check_type m.it.types
     |> check_list check_import m.it.imports
     |> check_list check_func m.it.funcs
-    |> check_list check_global m.it.globals
     |> check_list check_table m.it.tables
     |> check_list check_memory m.it.memories
+    |> check_list check_global m.it.globals
     |> check_list check_elem m.it.elems
     |> check_list check_data m.it.datas
   in
diff --git a/test/core/global.wast b/test/core/global.wast
index 3ec4cb727..8c47fde2f 100644
--- a/test/core/global.wast
+++ b/test/core/global.wast
@@ -625,11 +625,10 @@
   (global $g2 i32 (global.get $g0))
   (global $g3 i32 (global.get $g1))
 
-  (global $gn funcref (ref.null func))
   (global $gf funcref (ref.func $f))
   (func $f)
 
-  (table $t 10 funcref (global.get $gn))
+  (table $t 10 funcref (ref.null func))
   (elem (table $t) (global.get $g2) funcref (ref.func $f))
   (elem (table $t) (global.get $g3) funcref (global.get $gf))
 
@@ -660,6 +659,14 @@
   "unknown global"
 )
 
+(assert_invalid
+  (module
+    (global $g funcref (ref.null func))
+    (table $t 10 funcref (global.get $g))
+  )
+  "unknown global"
+)
+
 
 ;; Duplicate identifier errors