Subject and words of ExpectAny should be accessible publicly so that we can write extension functions for own assertions on the subject with own words being logged.

The following for example checks that two collections are equal while ignoring the order of the elements:

fun <Element> ExpectCollection<Element>.equalIgnoringOrder(expected: Collection<Element>) =
	apply {
		satisfy { subject ->
			val subjectList = subject.toList()
			val expectedList = expected.toList()

			subjectList.size == expectedList.size 
				&& subjectList.all(expectedList::contains) 
				&& expectedList.all(subjectList::contains)
		}
	}

Due to lack of access to subject the function satisfy must be used to access the subject.
Due to lack of access to words a failure would log satisfy predicate instead of something more helpful like equalIgnoringOrder $expected.