remember-me.php

<?php
//-> Do NOT include the opening php tag

// Login Screen: Set 'remember me' to be checked
add_action( 'init', 'rvam_login_checked_remember_me' );
function rvam_login_checked_remember_me() {
    add_filter( 'login_footer', 'rvam_rememberme_checked' );
}

function rvam_rememberme_checked() {
	echo "<script>document.getElementById('rememberme').checked = true;</script>";
}