Note
The たら form is ungrammatical here, because the library is quiet is not something that happens after you're going to study.
Breakdown of benkyousuru nara, tosyokan ga sizuka desu. benkyousitara, tosyokan ga sizuka desu.
ですdesu
to be
がga
subject particle
勉強するbenkyousuru
to study
図書館tosyokan
library
静かsizuka
quiet
。。。 なら... nara
if ... is the case
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