Is there a universal math database for precise definitions and theorems?

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Noxide
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Does there exist a database with very specific mathematical definitions, theorems... etc? I've found that some thm's/dfn etc differ from author to author. Not necessarily in meaning, but in the words used to describe them. Is there a place where a precise definition can be found that is agreed upon by all mathematicians?
 
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There are no universally agreed ways to word specific theorems or definitions. However, discounting typos (and occasionally wikipedia!) you can be pretty certain that any two wordings of the same theorem/definition in print mean essentially the same thing. I suggest trying different sources until you find one that you are most comfortable with, and then referring to that.