* are reconstructed using public factory methods. This ensures that the implementation types
   * remain as implementation details.
   */
  @J2ktIncompatible // serialization
  private static final class SerializedForm<K, V> extends ImmutableMap.SerializedForm<K, V> {
    private final Comparator<? super K> comparator;

    SerializedForm(ImmutableSortedMap<K, V> sortedMap) {

    // No equals and hashCode; see ForwardingObject for details.

    @Override
    public String toString() {
      synchronized (mutex) {
        return delegate.toString();
      }
    }

    // Serialization invokes writeObject only when it's private.
    // The SynchronizedObject subclasses don't need a writeObject method since
    // they don't contain any non-transient member variables, while the

    // No equals and hashCode; see ForwardingObject for details.

    @Override
    public String toString() {
      synchronized (mutex) {
        return delegate.toString();
      }
    }

    // Serialization invokes writeObject only when it's private.
    // The SynchronizedObject subclasses don't need a writeObject method since
    // they don't contain any non-transient member variables, while the

    public boolean isEmpty() {
      return MapMakerInternalMap.this.isEmpty();
    }

    @Override
    public void clear() {
      MapMakerInternalMap.this.clear();
    }
  }

  // Serialization Support

  private static final long serialVersionUID = 5;

  Object writeReplace() {
    return new SerializationProxy<>(
        entryHelper.keyStrength(),
        entryHelper.valueStrength(),

        return new WrappedSet(key, (Set<V>) collection);
      } else {
        return new WrappedCollection(key, collection, null);
      }
    }

    // can't use Serialization writeMultimap and populateMultimap methods since
    // there's no way to generate the empty backing map.

    /**
     * @serialData the factory and the backing map
     */
    @GwtIncompatible