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I'd like to create different Indexes for Equations, Definitions, Theorems, Propositions, Observations, Corollaries, Examples, Exercises. Is it possible? For now, I don't know what MWE I must insert... . If You would answer my question, you could ask me what MWE add, and then I'll add what you'll want. Thank you so much and Best Regards.

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For everything except equations, if you define them as "theorem" environments, you can load thmtools and use the \listoftheorems command.

See the documentation (https://ctan.org/pkg/thmtools?lang=en) for how to filter the listing by type.

Listing equations have been asked several times previously on this site, the first one I found is List of Equations / Table of Equations

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