$ sudo apt-get update
$ sudo apt-get install php-horde-imap-client 

php-horde-imap-client is installed in your system.

Make ensure the php-horde-imap-client package were installed using the commands given below,

$ sudo dpkg-query -l | grep php-horde-imap-client *

You will get with php-horde-imap-client package name, version, architecture and description in a table

php-horde-imap-client package basic information: