orderedBy Quality that describes an Iterable which returns its elements in a specific order.

[dmfs]

The idea is to be able to check the order of elements of an Iterable without having to name them all (which may be problematic for large or unpredictable results).
This would by my solution for hamcrest/JavaHamcrest#404, i.e. check that the elements are ordered as expected and test that all or some of the elements are indeed present.