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I came across this question, the answer achieves what it does, but there is no explanation of how it works. I have some ideas that {} serves as a placeholder for \newtheoremstyle. I tried to experiment a bit and added one more {} to the command \newtheoremstyle{case}{}{}{}{}{}{:}{ }{}, but this failed.

In another comment of the question, {} was also used in \newenvironment, for example, \newenvironment{}{}{}.

I could not find any reference as to what {} actually does in the context of Latex in general. Where can I find some references of the command {}?

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    The {} are empty mandatory arguments to the command \newtheoremstyle. See the amsthm manual for the meaning of all the arguments. And because the number of mandatory arguments of \newtheoremstyle is fixated it also does not make sense to add one more {}. Moreover, this question looks like a XY Problem. So: Please, ask the real problem and illustrate it by a minimal working example.
    – cabohah
    Jun 2 at 12:07
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    I’m voting to close this question because as hinted in a different comment, this is specific to the package used, and described in the manual. In other words: the degree of freedom, the TO tries, does not exist here.
    – MS-SPO
    Jun 2 at 18:42
  • @cabohah Thanks for the reference. What does {} do in the command \newenvironment{}{}{}?
    – Ka Wa Yip
    Jun 3 at 8:17
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    \newenvironment{}{}{} would define a new environment without name, without begin code, and without end code. And because this would redefine \end, it would break LaTeX. So it would not only not make any sense, but also would not be a good idea. Please read a LaTeX introduction or the answer already referred in the comment to the question you've linked to for more information about \newenvironment and other basics.
    – cabohah
    Jun 3 at 8:21
  • Generally speaking, unless a syntax is explicitly documented, the answer to "what do X do" is "it's an artifact because of some internal implementation detail" -- as such unless you have some TeX programming experience it's best to not care about these things. ■ But otherwise refer to tikz pgf - How to find the documentation for a package? - TeX - LaTeX Stack Exchange
    – user202729
    Jun 3 at 12:02

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