diff --git a/document/core/exec/instructions.rst b/document/core/exec/instructions.rst
index 63e17be482..4042c34994 100644
--- a/document/core/exec/instructions.rst
+++ b/document/core/exec/instructions.rst
@@ -2000,9 +2000,9 @@ Most other vector instructions are defined in terms of numeric operators that ar
 
 1. Assert: due to :ref:`validation <valid-vtestop>`, a value of :ref:`value type <syntax-valtype>` |V128| is on the top of the stack.
 
-2. Pop the value :math:`\V128.\VCONST~c_1` from the stack.
+2. Pop the value :math:`\V128.\VCONST~c` from the stack.
 
-3. Let :math:`i_1^\ast` be the result of computing :math:`\lanes_{\shape}(c_1)`.
+3. Let :math:`i_1^\ast` be the result of computing :math:`\lanes_{\shape}(c)`.
 
 4. Let :math:`i` be the result of computing :math:`\tobool(\bigwedge(i_1 \neq 0)^\ast)`.
 
@@ -2012,7 +2012,7 @@ Most other vector instructions are defined in terms of numeric operators that ar
 .. math::
    \begin{array}{l}
    \begin{array}{lcl@{\qquad}l}
-   (\V128\K{.}\VCONST~c_1)~\shape\K{.}\ALLTRUE &\stepto& (\I32\K{.}\CONST~i)
+   (\V128\K{.}\VCONST~c)~\shape\K{.}\ALLTRUE &\stepto& (\I32\K{.}\CONST~i)
    \end{array}
    \\ \qquad
      \begin{array}[t]{@{}r@{~}l@{}}
@@ -2029,7 +2029,7 @@ Most other vector instructions are defined in terms of numeric operators that ar
 
 1. Assert: due to :ref:`validation <valid-vec-bitmask>`, a value of :ref:`value type <syntax-valtype>` |V128| is on the top of the stack.
 
-2. Pop the value :math:`\V128.\VCONST~c_1` from the stack.
+2. Pop the value :math:`\V128.\VCONST~c` from the stack.
 
 3. Let :math:`i_1^N` be the result of computing :math:`\lanes_{t\K{x}N}(c)`.
 
@@ -2039,14 +2039,14 @@ Most other vector instructions are defined in terms of numeric operators that ar
 
 6. Let :math:`j^\ast` be the concatenation of the two sequences :math:`i_2^N` and :math:`0^{32-N}`.
 
-7. Let :math:`c` be the result of computing :math:`\ibits_{32}^{-1}(j^\ast)`.
+7. Let :math:`i` be the result of computing :math:`\ibits_{32}^{-1}(j^\ast)`.
 
-8. Push the value :math:`\I32.\CONST~c` onto the stack.
+8. Push the value :math:`\I32.\CONST~i` onto the stack.
 
 .. math::
    \begin{array}{lcl@{\qquad}l}
-   (\V128\K{.}\VCONST~c_1)~t\K{x}N\K{.}\BITMASK &\stepto& (\I32\K{.}\CONST~c)
-     & (\iff c = \ibits_{32}^{-1}(\ilts_{|t|}(\lanes_{t\K{x}N}(c), 0^N)))
+   (\V128\K{.}\VCONST~c)~t\K{x}N\K{.}\BITMASK &\stepto& (\I32\K{.}\CONST~i)
+     & (\iff i = \ibits_{32}^{-1}(\ilts_{|t|}(\lanes_{t\K{x}N}(c), 0^N)))
      \\
    \end{array}
 
diff --git a/document/core/valid/instructions.rst b/document/core/valid/instructions.rst
index f3a57bd836..746189e549 100644
--- a/document/core/valid/instructions.rst
+++ b/document/core/valid/instructions.rst
@@ -1972,17 +1972,22 @@ Control Instructions
 ...........................
 
 
-* The label :math:`C.\CLABELS[l_N]` must be defined in the context.
+* The :ref:`label <syntax-label>` :math:`C.\CLABELS[l_N]` must be defined in the context.
 
-* For all :math:`l_i` in :math:`l^\ast`,
+* For each :ref:`label <syntax-label>` :math:`l_i` in :math:`l^\ast`,
   the label :math:`C.\CLABELS[l_i]` must be defined in the context.
 
 * There must be a sequence :math:`t^\ast` of :ref:`value types <syntax-valtype>`, such that:
 
-  * The result type :math:`[t^\ast]` :ref:`matches <match-resulttype>` :math:`C.\CLABELS[l_N]`.
+  * The length of the sequence :math:`t^\ast` is the same as the length of the sequence :math:`C.\CLABELS[l_N]`.
 
-  * For all :math:`l_i` in :math:`l^\ast`,
-    the result type :math:`[t^\ast]` :ref:`matches <match-resulttype>` :math:`C.\CLABELS[l_i]`.
+  * For each :ref:`operand type <syntax-opdtype>` :math:`t_j` in :math:`t^\ast` and corresponding type :math:`t'_{Nj}` in :math:`C.\CLABELS[l_N]`, :math:`t_j` :ref:`matches <match-opdtype>` :math:`t'_{Nj}`.
+
+  * For each :ref:`label <syntax-label>` :math:`l_i` in :math:`l^\ast`:
+
+    * The length of the sequence :math:`t^\ast` is the same as the length of the sequence :math:`C.\CLABELS[l_i]`.
+
+    * For each :ref:`operand type <syntax-opdtype>` :math:`t_j` in :math:`t^\ast` and corresponding type :math:`t'_{ij}` in :math:`C.\CLABELS[l_i]`, :math:`t_j` :ref:`matches <match-opdtype>` :math:`t'_{ij}`.
 
 * Then the instruction is valid with any :ref:`valid <valid-instrtype>` type of the form :math:`[t_1^\ast~t^\ast~\I32] \to [t_2^\ast]`.