Record the elements on identifiers in the AST referring to types.

compiler/java/com/google/dart/compiler/resolver/ResolutionContext.java

Index: compiler/java/com/google/dart/compiler/resolver/ResolutionContext.java
diff --git a/compiler/java/com/google/dart/compiler/resolver/ResolutionContext.java b/compiler/java/com/google/dart/compiler/resolver/ResolutionContext.java
index df8618d79df308c8e5c3553fa5eb0ceaa9d73f6e..cd1bb418768fc7699019e01801da70afd8fef00e 100644
--- a/compiler/java/com/google/dart/compiler/resolver/ResolutionContext.java
+++ b/compiler/java/com/google/dart/compiler/resolver/ResolutionContext.java
@@ -176,11 +176,31 @@ public class ResolutionContext implements ResolutionErrorListener {
     if (node == null) {
       return null;
     } else {
-      return resolveType(node, node.getIdentifier(), node.getTypeArguments(), isStatic, isFactory,
+      Type type = resolveType(node, node.getIdentifier(), node.getTypeArguments(), isStatic, isFactory,
                          errorCode);
+      recordTypeIdentifier(node.getIdentifier(), type.getElement());
+      return type;
     }
   }
 
+  protected <E extends Element> E recordTypeIdentifier(DartNode node, E element) {
+    node.getClass();
+    if (node instanceof DartPropertyAccess) {
+      recordTypeIdentifier(((DartPropertyAccess)node).getQualifier(),
+                           element.getEnclosingElement());
+      return recordTypeIdentifier(((DartPropertyAccess)node).getName(), element);
+    } else if (node instanceof DartIdentifier) {
+      if (element == null) {
+        // TypeAnalyzer will diagnose unresolved identifiers.
+        return null;
+      }
+      node.setSymbol(element);
+    } else {
+      throw internalError(node, "Unexpected node: %s", node);
+    }
+    return element;
+  }
+
   Type resolveType(DartNode diagnosticNode, DartNode identifier, List<DartTypeNode> typeArguments,
                    boolean isStatic, boolean isFactory, ErrorCode errorCode) {
     Element element = resolveName(identifier);
@@ -247,6 +267,7 @@ public class ResolutionContext implements ResolutionErrorListener {
                                              boolean isFactory,
                                              ErrorCode errorCode) {
     List<? extends Type> typeParameters = element.getTypeParameters();
+
     Type[] typeArguments;
     if (typeArgumentNodes == null || typeArgumentNodes.size() != typeParameters.size()) {
       typeArguments = new Type[typeParameters.size()];