autoinject

Create a small, fully-functional mini-application in Python that leverages the 'autoinject' package for automated dependency injection. This application will be a simple task management tool called 'TaskMaster', designed to help users manage their daily tasks efficiently. The app should allow users to add new tasks, mark tasks as completed, view all current tasks, and delete completed tasks. Additionally, it should have a feature to categorize tasks into different lists such as 'Work', 'Personal', etc., allowing users to filter tasks based on these categories.

The application should consist of several components:
1. A Task class that represents individual tasks with attributes like title, description, completion status, and category.
2. A TaskManager class that manages the lifecycle of tasks, including adding, marking as completed, viewing, and deleting tasks.
3. A Categorizer class that helps in organizing tasks into different categories and filtering them based on these categories.
4. A CLI interface that allows users to interact with the TaskManager and perform various operations.

Utilize the 'autoinject' package to automatically handle dependencies between these classes. For example, the TaskManager should automatically receive instances of the Task and Categorizer classes without needing explicit instantiation in the code. This will demonstrate how 'autoinject' simplifies dependency management in Python applications.

Additionally, implement a simple logging mechanism using Python's built-in logging module to log important events such as task creation, updates, and deletions.

Your final deliverable should include a README file detailing how to set up and run the application, along with instructions on how to install and configure the 'autoinject' package.