final C endpoint;

  Cut(C endpoint) {
    this.endpoint = endpoint;
  }

  abstract boolean isLessThan(C value);

  abstract BoundType typeAsLowerBound();

  abstract BoundType typeAsUpperBound();

  abstract Cut<C> withLowerBoundType(BoundType boundType, DiscreteDomain<C> domain);

  abstract Cut<C> withUpperBoundType(BoundType boundType, DiscreteDomain<C> domain);

      Iterator<Range<C>> completeRangeItr =
          rangesByLowerBound
              .headMap(
                  upperBoundOnLowerBounds.endpoint(),
                  upperBoundOnLowerBounds.typeAsUpperBound() == BoundType.CLOSED)
              .descendingMap()
              .values()
              .iterator();
      return new AbstractIterator<Entry<Cut<C>, Range<C>>>() {
        @Override