.htaccess to force http using https and still get rid off index.php etc.

[eluser]searain[/eluser]
I googled, to force the whole site using https. I can add these lines in .htaccess

RewriteEngine On
RewriteCond %{HTTPS} !on
RewriteRule (.*) https://%{HTTP_HOST}%{REQUEST_URI}

But in CodeIgniter, we already use

RewriteEngine on
RewriteCond $1 !^(index\.php|images|robots\.txt)
RewriteRule ^(.*)$ /index.php/$1 [L]

To get rid of the index.php in url.

How can we merge these two requests together to have a .htaccess rewrite rules which will get rid off index.php in the url and also force to redirect http to https?

Thanks!