I'll try to describe in short :
So, you already know that resolveFacadeInstance method is called via __callStatic method of Facade class and component's Facade (i.e. File extends Facade) extends this Facade class.
During the boot-up process of the framework, from public/index.php following line starts the execution of bootstrap/start.php file
$app = require_once __DIR__.'/../bootstrap/start.php';
So, in this (bootstrap/start.php) file you can see some code like
// the first line, initiate the application
$app = new Illuminate\Foundation\Application;
// ...
// ...
// notice this line
require $framework.'/Illuminate/Foundation/start.php';
// ...
// last line
return $app;
In this code snippet, require $framework.'/Illuminate/Foundation/start.php'; line starts the execution of Foundation/start.php file and in this file you may see something like this
// ...
Facade::clearResolvedInstances();
// Notice this line
Facade::setFacadeApplication($app);
This (given above) line sets application instanse to $app property in the Facade class
// support/Facades/Facade.php
public static function setFacadeApplication($app)
{
static::$app = $app;
}
Then in the Foundation/start.php file at the bottom, you can see something like this
/*
|--------------------------------------------------------------------------
| Register The Core Service Providers
|--------------------------------------------------------------------------
|
| The Illuminate core service providers register all of the core pieces
| of the Illuminate framework including session, caching, encryption
| and more. It's simply a convenient wrapper for the registration.
|
*/
$providers = $config['providers'];
$app->getProviderRepository()->load($app, $providers);
$app->boot();
In this code snippet given above, all the core components registered by the framework and as you know that, every component has a service provider class (i.e. FilesystemServiceProvider) and in every service provider class there is a method register which is (for FilesystemServiceProvider)
/**
* Register the service provider.
*
* @return void
*/
public function register()
{
$this->app['files'] = $this->app->share(function() { return new Filesystem; });
}
Well, in this case $this->app['files'] setting (return new Filesystem) an anonymous function, which returns the filesystem when gets executed
$this->app['files'] = $this->app->share(function() { return new Filesystem; });
to $app['files'] so, when you call the File::get(), it finally calls the anonymous function and in this case, the following line
return static::$resolvedInstance[$name] = static::$app[$name];
Calls the function for static::$app['file']; and this function returns the instance but before returning, it stores the instance in the $resolvedInstance variable, so, next time it can return the instance from the variable without calling the anonymous function again.
So, it looks like that, static::$resolvedInstance[$name] = static::$app[$name]; calls the anonymous function which returns the instance and this function was registered earlier, when the app was started through boot up process.
Important :
Application extends Container and Container extends ArrayAccess class and that's why, a property of the $app object could be (accessed) set/get using array notation.
I've tried to give you an idea but you have to look in to the code, step by step, you won't get it only reading/tracking the code once.