"Written down" is a common phrase that implies recording or noting down something in writing. However, there are many other words and phrases that can be used as synonyms for this expression. Some of these synonyms include transcribed, penned, documented, inscribed, recorded, registered, and notated. All of these words suggest a process of transferring information from one form to another and creating a permanent record of it. They are often used in legal, academic, or administrative settings where precision and clarity of language are crucial. Regardless of the specific context, using synonyms for "written down" can add variety and nuance to your writing.