laravel update from 5.1 to 5.2 composer update error

I am trying to update laravel from 5.1 to 5.2 . I followed the instruction as according to update doc but I am getting this error when running composer udpate:

Error Output: PHP Fatal error: Call to undefined method Illuminate\Foundation\Application::bindShared() in /my_app/vendor/illuminate/html/HtmlSe rviceProvider.php on line 36

I've looked up this issue and saw that people were getting this issue when updating to version 5.1 and saw that the method bindShared has been replaced with singleton(), but I don't want to mess with vendor files. Here is my config/app.php providers and aliases arrays:

'providers' => [

    /*
     * Laravel Framework Service Providers...
     */
    Illuminate\Auth\AuthServiceProvider::class,
    Illuminate\Broadcasting\BroadcastServiceProvider::class,
    Illuminate\Bus\BusServiceProvider::class,
    Illuminate\Cache\CacheServiceProvider::class,
    Illuminate\Foundation\Providers\ConsoleSupportServiceProvider::class,
    Illuminate\Cookie\CookieServiceProvider::class,
    Illuminate\Database\DatabaseServiceProvider::class,
    Illuminate\Encryption\EncryptionServiceProvider::class,
    Illuminate\Filesystem\FilesystemServiceProvider::class,
    Illuminate\Foundation\Providers\FoundationServiceProvider::class,
    Illuminate\Hashing\HashServiceProvider::class,
    Illuminate\Mail\MailServiceProvider::class,
    Illuminate\Pagination\PaginationServiceProvider::class,
    Illuminate\Pipeline\PipelineServiceProvider::class,
    Illuminate\Queue\QueueServiceProvider::class,
    Illuminate\Redis\RedisServiceProvider::class,
    Illuminate\Auth\Passwords\PasswordResetServiceProvider::class,
    Illuminate\Session\SessionServiceProvider::class,
    Illuminate\Translation\TranslationServiceProvider::class,
    Illuminate\Validation\ValidationServiceProvider::class,
    Illuminate\View\ViewServiceProvider::class,
    Illuminate\Html\HtmlServiceProvider::class,

    /*
     * Application Service Providers...
     */
    App\Providers\AppServiceProvider::class,
    App\Providers\EventServiceProvider::class,
    App\Providers\RouteServiceProvider::class,
    App\Providers\ViewComposerServiceProvider::class,
    Laracasts\Flash\FlashServiceProvider::class,
    Baum\Providers\BaumServiceProvider::class

],

/*
|--------------------------------------------------------------------------
| Class Aliases
|--------------------------------------------------------------------------
|
| This array of class aliases will be registered when this application
| is started. However, feel free to register as many as you wish as
| the aliases are "lazy" loaded so they don't hinder performance.
|
*/

'aliases' => [

    'App'       => Illuminate\Support\Facades\App::class,
    'Artisan'   => Illuminate\Support\Facades\Artisan::class,
    'Auth'      => Illuminate\Support\Facades\Auth::class,
    'Blade'     => Illuminate\Support\Facades\Blade::class,
    'Bus'       => Illuminate\Support\Facades\Bus::class,
    'Cache'     => Illuminate\Support\Facades\Cache::class,
    'Config'    => Illuminate\Support\Facades\Config::class,
    'Cookie'    => Illuminate\Support\Facades\Cookie::class,
    'Crypt'     => Illuminate\Support\Facades\Crypt::class,
    'DB'        => Illuminate\Support\Facades\DB::class,
    'Eloquent'  => Illuminate\Database\Eloquent\Model::class,
    'Event'     => Illuminate\Support\Facades\Event::class,
    'File'      => Illuminate\Support\Facades\File::class,
    'Hash'      => Illuminate\Support\Facades\Hash::class,
    'Input'     => Illuminate\Support\Facades\Input::class,
    'Inspiring' => Illuminate\Foundation\Inspiring::class,
    'Lang'      => Illuminate\Support\Facades\Lang::class,
    'Log'       => Illuminate\Support\Facades\Log::class,
    'Mail'      => Illuminate\Support\Facades\Mail::class,
    'Password'  => Illuminate\Support\Facades\Password::class,
    'Queue'     => Illuminate\Support\Facades\Queue::class,
    'Redirect'  => Illuminate\Support\Facades\Redirect::class,
    'Redis'     => Illuminate\Support\Facades\Redis::class,
    'Request'   => Illuminate\Support\Facades\Request::class,
    'Response'  => Illuminate\Support\Facades\Response::class,
    'Route'     => Illuminate\Support\Facades\Route::class,
    'Schema'    => Illuminate\Support\Facades\Schema::class,
    'Session'   => Illuminate\Support\Facades\Session::class,
    'Storage'   => Illuminate\Support\Facades\Storage::class,
    'URL'       => Illuminate\Support\Facades\URL::class,
    'Validator' => Illuminate\Support\Facades\Validator::class,
    'View'      => Illuminate\Support\Facades\View::class,
'Form'      => Illuminate\Html\FormFacade::class,
'Html'      => Illuminate\Html\HtmlFacade::class,
'Carbon'    => 'Carbon\Carbon',
'Flash'     => Laracasts\Flash\Flash::class,

],

and here is my composer.json:

{
"name": "laravel/laravel",
"description": "The Laravel Framework.",
"keywords": ["framework", "laravel"],
"license": "MIT",
"type": "project",
"repositories": [{
    "type": "vcs",
    "url": "http://ift.tt/1WRC127"
    }],
"require": {
    "php": ">=5.5.9",
    "laravel/framework": "5.2.*",
    "doctrine/dbal": "^2.6@dev",
    "illuminate/html": "^5.0@dev",
    "laracasts/flash": "dev-master",
    "fairholm/elasticquent": "dev-feature/laravel-5",
    "baum/baum": "~1.1"
},
"require-dev": {
    "fzaninotto/faker": "~1.4",
    "mockery/mockery": "0.9.*",
    "phpunit/phpunit": "~4.0",
    "phpspec/phpspec": "~2.1",
    "symfony/dom-crawler": "~3.0",
    "symfony/css-selector": "~3.0"

},
"autoload": {
    "classmap": [
        "database"
    ],
    "psr-4": {
        "App\\": "app/"
    }
},
"autoload-dev": {
    "classmap": [
        "tests/TestCase.php"
    ]
},
"scripts": {
    "post-install-cmd": [
        "php artisan clear-compiled",
        "php artisan optimize"
    ],
    "post-update-cmd": [
        "php artisan clear-compiled",
        "php artisan optimize"
    ],
    "post-root-package-install": [
        "php -r \"copy('.env.example', '.env');\""
    ],
    "post-create-project-cmd": [
        "php artisan key:generate"
    ]
},
"config": {
    "preferred-install": "dist"
},
"minimum-stability": "dev",
"prefer-stable": true
}

any idea what I should do to fix this? I started with a 5.1 version install of laravel.

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