From a less specific name: This is a redirect from a title that is a less specific name to a more specific, less general one.
It may be a less specialized term, a broader usage, a generic term or simply be worded less narrowly. It leads to the title in accordance with the naming conventions for common names and can help writing and searches. It is not necessary to replace these redirected links with a piped link.
Such names often indicate that a broader, overview article needs to be written. For such redirects {{R with possibilities}} should also be added.
Mentioned in a hatnote: This is a redirect from a title that is mentioned in a hatnote at the redirect target. The mention is usually atop the target article. It may, however, be directly under a section header, or in another article's hatnote (whenever the hatnote is under a section, {{R to section}} should also be used).
The titles of redirects mentioned in hatnotes may refer to a subject other than that of the target page. It is possible that this redirect may need to be retargeted, or become an article under its own title (see {{R with possibilities}}). If the title is a good candidate for a Wiktionary link, it may also be added.
When appropriate, protection levels are automatically sensed, described and categorized.