What is connection() in the following code?

Code which I do understand completely

if($user->connection($email,$password)){
}

Let's assume connection() is pseudo-code. Is the pg_prepare and pg_execute` enough to create the connection?

Çizgi beni generating a login system yılında ana kod kullanımını ihmal neden oldu. Daha sonra, Soers benim kodda ciddi guvenlik delikleri dikkat çekti.

I could not find the explanation for the function connection(). The code seems to be pseudo-code to me, since the connection does not have any attributes to the database, for instance by

Example of how the connection should be formed

     $result = pg_prepare($dbconn, "query22", "SELECT passhash_md5 FROM users
         WHERE email=$1;");                                             
     $passhash_md5 = pg_execute($dbconn, "query22", array($_REQUEST['email']));