return new SortedAsMap(sortedMap().tailMap(fromKey));
    }

    @CheckForNull SortedSet<K> sortedKeySet;

    // returns a SortedSet, even though returning a Set would be sufficient to
    // satisfy the SortedMap.keySet() interface
    @Override
    public SortedSet<K> keySet() {
      SortedSet<K> result = sortedKeySet;

      return new SortedAsMap(sortedMap().tailMap(fromKey));
    }

    @CheckForNull SortedSet<K> sortedKeySet;

    // returns a SortedSet, even though returning a Set would be sufficient to
    // satisfy the SortedMap.keySet() interface
    @Override
    public SortedSet<K> keySet() {
      SortedSet<K> result = sortedKeySet;