When you want to work with the 'alternate screen' you can call the following functions: terminal::from_screen etc. Which will give you an instance to the back of the module you are calling it in.
So instead of:
let color = color(Screen::default());
let cursor = cursor(Screen::default());
let input = input(Screen::default());
let terminal = terminal(Screen::default());
You can do:
let color = color();
let cursor = cursor();
let input = input();
let terminal = terminal();