My Mathematica 13 doesn't show local documentation, it includes just Web documentation. (Windows 11)
But Mathematica 12.3 gives. How to enable local documentation to Mathematica 13?
edit (by Nasser) Fyi, when installing, the choices given are
Make sure to select the one you want. First choice will download both Mathematica and full documentation to install locally
end edit
edit
If Mathematica 13 (incl. documentation) has to be installed on a business device, the license owner does not necessarily have admin rights. Now, if an admin installs Mathematica 13 on a Windows machine on behalf of the license owner, the documentation is installed in the App Data folder of the admin's user profile: C:\Users\username\AppData\Local\Programs\Common\Wolfram Research\Documentation.en-us\13.0\Documentation (See https://reference.wolfram.com/language/tutorial/WolframSystemFileOrganization.html). The license owner can run Mathematica, however, the Documentation is only available online for him/her. One can, of course, move the documentation folder from the admin's user profile to the one of the license owner, however, Mathematica does ignore it. And there is no way to link the new location in the Option Inspector. As for the rest of the installation, the documentation should not be placed in the user profile, IMHO. But since Wolfram has decided to do so, it would be nice if one could at least manually relocate and link the local documentation directory.
end edit