https://lagen.nu/1960:729#P19S1
> 19 § När ett exemplar av ett verk med upphovsmannens samtycke har överlåtits inom Europeiska ekonomiska samarbetsområdet, får exemplaret spridas vidare.
Translated:
> 19 § When a specimen, with the consent of the author, has been transferred within the European economic area, the specimen may be further transferred.
The law goes on to carve out exceptions for computer programs and movies specifically, as well as renting generally -- those kinds of transfers are not allowed without author approval.
However, in combination with Biblioteksersättningen/författarfonden ("the library compensation/author fund"), which collects money based on the amount of lending in public libraries and distributes it to authors, it comes pretty close to statutory licensing in practice. It's not immediately clear to me that the payout is proportionally divided, though, so depending on how that skews, I may be way off.