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by jsprogrammer 3491 days ago
Everything (written, anyway) contains an order.

The comment says that you may want to treat the same things in different orders as being the same "thing".

A better, in my opinion, English translation of the univalence axiom is, "identity is equivalent to equivalency" (formally, [(A=B)~(A~B)]). You can find this translation in the HoTT book[0].

Also, check out multisets[1].

[0] http://saunders.phil.cmu.edu/book/hott-online.pdf (PDF page 16, or book page 4)

[1] https://en.m.wikipedia.org/wiki/Multiset