Engrain is a word that means to firmly establish an idea, habit or characteristic in someone's mind or actions. Some synonyms of the word engrain are inculcate, indoctrinate, implant, install, ingrain, impress, imbue, infuse, implant, and instill. All these synonyms suggest imparting something deeply within someone's mind. For example, inculcate emphasizes on instilling through repetition or persistent urging, while instill is more gentle and subtle in its approach. Whatever the synonym, to engrain something means to make it part of one's being, and the process may take time and consistency. In summary, engrain suggests the process of making something a permanent and fundamental part of someone's belief or behavior.