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Illinois - Unloaded and in a case or shipping box.
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That's two of the conditions, and applies if the firearm is accessible, but it's not the whole of the law.
The Unlawful Use of Weapons Statute (720 ILCS 24-1) requires that firearms be "broken down in a non-functioning state" or "not immediately accessible" or "unloaded and enclosed in a case, firearm carrying box, shipping box, or other container". At least the state is no longer officially advising people that it has to be broken down
and in a locked case
and in the trunk as they used to do.
Technically, in addition to your example, I could have an unloaded break apart shotgun hanging uncased in clear view on my pickup's rear window rack - if I had a pickup or a rack - as it's broken down and non functional. But if it's in plain view I guarantee it will become probable cause for the initiation of a traffic stop by any agency in the collar counties, and likely most agencies.
Have a loaded (magazine and chamber) longarm uncased in my trunk, as long as I cannot immediately access it, the trunk constitutes the "case".
While these are both legal by the wording of the law, we all have heard stories about LE - particularly from a county and community that abuts both our neighboring state and Lake Michigan - that loves to use the tactic of charging people first, and letting them prove their compliance at their own expense, even in the face of plain phrasing.
The safest technique is, at a minimum, what you describe.