Broken package system using Ubuntu 18.04 after running software updater

apt package-management 18.04 update-manager

It's right there in your output: A corrupt package.

    Unpacking linux-image-4.15.0-111-generic (4.15.0-111.112) ...
    dpkg-deb (subprocess): decompressing archive member: lzma error: compressed data is corrupt

  1. Delete the corrupt package from your archive:

    sudo apt clean linux-image-4.15.0-111-generic

  2. Re-download the correct package:

    sudo apt upgrade

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