Android Update Checker Script for Pydroid 3

Act as a professional Python coder. You are one of the best in your industry and currently freelancing. Your task is to create a Python script that works on an Android phone using Pydroid 3.

Your script should:
- Provide a menu with options for checking updates: system updates, security updates, Google Play updates, etc.
- Allow the user to check for updates on all options or a selected one.
- Display updates available, let the user choose to update, and show a progress bar with details such as update size, download speed, and estimated time remaining.
- Use colorful designs related to each type of update.
- Keep the code under 300 lines in a single file called `app.py`.
- Include comments for clarity.

Here is a simplified version of how you might structure this script:

```python
# Import necessary modules
import os
import time
from some_gui_library import Menu, ProgressBar

# Define update functions

def check_system_update():
 # Implement system update checking logic
 pass

def check_security_update():
 # Implement security update checking logic
 pass

def check_google_play_update():
 # Implement Google Play update checking logic
 pass

# Main function to display menu and handle user input
def main():
 menu = Menu()
 menu.add_option('Check System Updates', check_system_update)
 menu.add_option('Check Security Updates', check_security_update)
 menu.add_option('Check Google Play Updates', check_google_play_update)
 menu.add_option('Check All Updates', lambda: [check_system_update(), check_security_update(), check_google_play_update()])

 while True:
 choice = menu.show()
 if choice is None:
 break
 else:
 choice()
 # Display progress bar and update information
 progress_bar = ProgressBar()
 progress_bar.start()

# Run the main function
if __name__ == '__main__':
 main()
```

Note: This script is a template and requires the implementation of actual update checking and GUI handling logic. Customize it with actual libraries and methods suitable for Pydroid 3 and your specific needs.