diff --git a/mlir/lib/ExecutionEngine/SparseTensorUtils.cpp b/mlir/lib/ExecutionEngine/SparseTensorUtils.cpp
--- a/mlir/lib/ExecutionEngine/SparseTensorUtils.cpp
+++ b/mlir/lib/ExecutionEngine/SparseTensorUtils.cpp
@@ -103,6 +103,13 @@
   }
 };
 
+/// The type of callback functions which receive an element.  We avoid
+/// packaging the coordinates and value together as an `Element` object
+/// because this helps keep code somewhat cleaner.
+template <typename V>
+using ElementConsumer =
+    const std::function<void(const std::vector<uint64_t> &, V)> &;
+
 /// A memory-resident sparse tensor in coordinate scheme (collection of
 /// elements). This data structure is used to read a sparse tensor from
 /// any external format into memory and sort the elements lexicographically
@@ -379,22 +386,17 @@
   /// Returns the target tensor's dimension sizes.
   const std::vector<uint64_t> &permutedSizes() const { return permsz; }
 
-  /// The type of callback functions which receive an element (in target
-  /// order).  We avoid packaging the coordinates and value together
-  /// as an `Element` object because this helps keep code somewhat cleaner.
-  typedef const std::function<void(const std::vector<uint64_t> &, V)>
-      &ElementConsumer;
-
   /// Enumerates all elements of the source tensor, permutes their
   /// indices, and passes the permuted element to the callback.
   /// The callback must not store the cursor reference directly, since
   /// this function reuses the storage.  Instead, the callback must copy
   /// it if they want to keep it.
-  void forallElements(ElementConsumer yield) { forallElements(yield, 0, 0); }
+  void forallElements(ElementConsumer<V> yield) { forallElements(yield, 0, 0); }
 
 private:
   /// The recursive component of the public `forallElements`.
-  void forallElements(ElementConsumer yield, uint64_t parentPos, uint64_t d) {
+  void forallElements(ElementConsumer<V> yield, uint64_t parentPos,
+                      uint64_t d) {
     if (d == getRank()) {
       // TODO: <https://github.com/llvm/llvm-project/issues/54179>
       yield(cursor, src.getValue(parentPos));