Fatal error after changes to functions.php, even with original file

Ok, removed my first answer, that is why it is important to give as much info in your question as possible. You cannot copy functions from your parent theme to your child theme. You also cannot coipy the parent themes functions.php to your child theme

The only time you can keep the same function name between parent and child theme is when the parent theme is enclosed in a if (function exist() hook.