Proudspire is an area located within Varlamore. It is not known if it is a city, although the book Imafore's betrayal mentions Emperor Imafore giving the Kourend royal family a tour of "the peak of the Proudspire", among other places.
The text implies that the Proudspire may be a tall mountain, as cities are not usually described with "the" before their name; nonetheless, it is well-known enough that the Emperor Imafore gave the Kourend royal family a tour of it.