在定理中对断言进行编号,但不按顺序

在定理中对断言进行编号,但不按顺序

我想在定理证明中对断言进行编号,但证明并未出现在定理陈述之后。也就是说,我想生成:

定理1.XXXX

定理2.YYYY

定理 1 的证明:....

索赔 1.1 xxxx

....

我正在使用 thmtools,因此希望避免使用 ntheorem。

答案1

这是一个可能的解决方案,它基于lateproof建立的环境proof,将我们要证明的定理对应的标签作为参数。

\documentclass{article}
\usepackage{amsthm,thmtools}

\declaretheorem[
  style=plain,
  name=Theorem,
]{theorem}

\declaretheorem[
  style=plain,
  name=Claim,
  within=theorem,
]{claim}
\renewcommand{\theclaim}{\thetheorem.\arabic{claim}}

\newenvironment{lateproof}[1]
 {%
  \renewcommand{\theclaim}{\ref{#1}.\arabic{claim}}%
  \begin{proof}[Proof of Theorem~\ref{#1}]%
 }
 {\end{proof}}

\begin{document}

\begin{theorem}
This theorem is proved just below.
\end{theorem}

\begin{proof}
We do some claims.

\begin{claim}
First claim.
\end{claim}

\begin{claim}
Second claim.
\end{claim}

The proof is complete.
\end{proof}

\begin{theorem}\label{tobeprovedlater}
This theorem is proved later.
\end{theorem}

\begin{theorem}
This is an intermediate theorem.
\end{theorem}

\begin{lateproof}{tobeprovedlater}
We do some claims.

\begin{claim}
First claim.
\end{claim}

\begin{claim}
Second claim.
\end{claim}

The proof is complete.
\end{lateproof}

\end{document}

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