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From an alternative spelling: This is a redirect from a title with an alternative spelling of the target name. Pages that link to this redirect may be updated to link directly to the target page if that results in an improvement of the text. Do not "fix" such links if they are not broken. Also, these links should not be replaced with piped links.
- There are many more specific templates such as {{R from alternative hyphenation}}, {{R from alternative punctuation}} and {{R from alternative spacing}}. Also see subcategories of Category:Redirects from modifications for other options (capitals, abbreviations, diacritics, plurals, stylizations, transliteration, ligatures, different parts of speech, etc.)

From an alternative language: This is a redirect from a page name in Ancient Greek to a page name in an as-yet-undetermined language. These words may directly translate or they may be related words, names or phrases.
- This redirect leads to its target in accordance with the naming conventions for titles in other languages and can help writing and searches. However, per WP:NOTBROKEN do not replace these redirected links with a piped link.

To a disambiguation page: This is a redirect to a disambiguation page. This redirect is intended for use in links from other articles that need to refer to the disambiguation page, rather than be disambiguated. Therefore, this template should only appear on a redirect page that has "(disambiguation)" at the end of its title. Ambiguous titles that do not have page names ending with "(disambiguation)" should use {{R from ambiguous term}} instead. For disambiguations that later prove to still be ambiguous (e.g. "(painter)" when there are multiple notable painters by the same name) and which redirect to disambiguation pages, then {{R from incomplete disambiguation}} is the appropriate rcat template.