wp-remember-me.php

<?php
//* Do NOT include the opening php tag
 
//* Login Screen: Set 'remember me' to be checked
add_action( 'init', 'b3m_login_checked_remember_me' );
function b3m_login_checked_remember_me() {
  
  add_filter( 'login_footer', 'b3m_rememberme_checked' )
  ;
}

function b3m_rememberme_checked() {
  
  echo "<script>document.getElementById('rememberme').checked = true;</script>";
  
}