F19: Yum not working after update (solved)

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/lib/librpmio.so.3 belongs to the rpm-libs package and is a symbolic link to /lib/librpmio.so.3.*. Most likely you got /lib/librpmio.so.3 overwritten somehow, so it is no longer a link to the target.

Check if /lib/librpmio.so.3.* exists, and if so:

rm -fv /lib/librpmio.so.3
ln -sv `basename /lib/librpmio.so.3.*` /lib/librpmio.so.3

I find the syntax of the last step too implicit, what it does is:

cd /lib; ln -sv `basename /lib/librpmio.so.3.*` librpmio.so.3

After that the system should look like (your version of so* may differ):

$ ls -l /lib/librpmio.so*
lrwxrwxrwx. 1 root root     15 Sep 18 10:51 /lib/librpmio.so.3 -> librpmio.so.3.2.0
-rwxr-xr-x. 1 root root 420404 Sep  9 14:07 /lib/librpmio.so.3.2.0

If /lib/librpmio.so.3.* does not exist download manually the rpm-libs RPM that corresponds to your Fedora version (cat /etc/redhat-release) and bitness (uname -m), extract it's contents with rpm2cpio as described here https://ask.fedoraproject.org/question/35293/how-can-i-install-draftsight-on-fedora-19/, move the ./usr/lib*/librpmio.so.3.* to it's place on the filesystem and create the link.