I am writing a research paper in mathematics. I am proving a theorem. I have two proofs for the same statement i.e., the theorem. I want to embed both proofs. How should I do this?
Do I make it two different theorems in the paper, keeping the same statement? Or, should I state it just once and, under the proof section, mention Method 1 and Method 2?
For example, we maintain the following procedure:
\begin{thm}
(statement of the theorem)
\end{thm}
\begin{proof}
(proof of the theorem)
\end{proof}
Should I repeat the above syntax twice, keeping the same statement both times but with different proofs? Or, should I follow the below procedure?
\begin{thm}
(statement of the theorem)
\end{thm}
\begin{proof}
Method 1: (proof here with 1st method)
Method 2: (proof here with 2nd method)
\end{proof}
Is there another way to do this?
This is not a latex question. This question is based on the orientation of mathematics paper that includes a theorem with two different proofs.
proof 1
following the first proof, and then writeproof 2
following the 2nd proof ? Should I underline or make bold the headingproof 1
orproof 2
?