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AMS – Definitions, Theorems, Lemmas and more
AMS-flavored LaTeX introduces a flexible language for declaring custom types of environments. It has long been the weapon of choice for declaring mathematical statements, for example:
\newtheorem{theorem}{Theorem}
\newtheorem{proof}{Proof}
\begin{theorem}[Pythagoras]
Suppose $a\leq b\leq c$ are the side-lengths of a right triangle.\\
Then $a^2+b^2=c^2$.
\end{theorem}
\begin{proof}
Proof is left as an exercise to the reader.
\end{proof}
Theorem 1 (Pythagoras).
Suppose \(a\leq b\leq c\) are the side-lengths of a right triangle.
Then \(a^{2}+b^{2}=c^{2}\).
Proof 1.
Proof is left as an exercise to the reader.
