删除定理周围的垂直空间

删除定理周围的垂直空间

我对 LaTeX 还很陌生(几天前我还不知道如何使用\newtheorem),希望有人能帮助我解决以下问题。

如果我使用\usepackage{amsthm},如何控制定理、命题等与它们各自的证明之间的垂直间隙?特别是,我正在寻找像正常线一样跟随的证明。这是我迄今为止想到的最好的办法:

\usepackage{amthm}

\newtheoremstyle{newstyle}      
{} %Aboveskip 
{-.25pt} %Below skip
{\mdseries} %Body font e.g.\mdseries,\bfseries,\scshape,\itshape
{} %Indent
{\bfseries} %Head font e.g.\bfseries,\scshape,\itshape
{.} %Punctuation afer theorem header
{ } %Space after theorem header
{} %Heading

\theoremstyle{newstyle}
\newtheorem{thm}{Theorem}[section]
\newtheorem{prop}{Proposition}[thm]
\newtheorem{lem}{Lemma}
\newtheorem{cor}{Corollary}

\newenvironment{pf}
{\n\textit{Proof.}\begin{mdseries}}
{\end{mdseries}}\

但是,我有两个主要问题。首先,它%Below skip似乎没有给我太多控制权 -{}当我输入任何负值时,和之间会有相当大的跳跃。其次,编号被弄乱了,例如,如果我输入然后\begin{thm}...\end{thm}\begin{prop}...\end{prop}例如在第 1 部分),我会得到我的输出:

定理 1.1
命题 1.1.1

谢谢你的帮助。

答案1

首先,下方的 skip 应为正数,负数将被忽略。您可以通过以下方式清除标准提供的间距:

\makeatletter
\def\thm@space@setup{\thm@preskip=0pt
\thm@postskip=0pt}
\makeatother

之前\newtheoremstyle。您可以通过更改值0pt或使用中的参数来调整这一点\newtheoremstyle

尝试

\newenvironment{pf}{\noindent\textit{Proof.}\begin{mdseries}}{\end{mdseries}}

适用于您的证明环境。如果这太过简单,例如,如果您希望拥有\qedAMS 环境的功能,那么您可以使用以下改编的 AMS 证明代码

\makeatletter
\newenvironment{pf}[1][\proofname]{\par
  \pushQED{\qed}%
  \normalfont \topsep0\p@\relax
  \trivlist
  \item[\hskip\labelsep\itshape
  #1\@addpunct{.}]\ignorespaces
}{%
  \popQED\endtrivlist\@endpefalse
}
\makeatother

重点是将值设置\topsep为零。

最后,命题编号是错误的,因为你要求它在 s 内编号thm!你应该写

\newtheorem{prop}[thm]{Proposition}

放置[thm]在其他参数之间而不是末尾。

这是将所有内容放入一个示例文档中。

\documentclass{article}

\usepackage{amsthm}

\makeatletter
\def\thm@space@setup{\thm@preskip=0pt
\thm@postskip=0pt}
\makeatother
\newtheoremstyle{newstyle}      
{} %Aboveskip 
{} %Below skip
{\mdseries} %Body font e.g.\mdseries,\bfseries,\scshape,\itshape
{} %Indent
{\bfseries} %Head font e.g.\bfseries,\scshape,\itshape
{.} %Punctuation afer theorem header
{ } %Space after theorem header
{} %Heading

\theoremstyle{newstyle}
\newtheorem{thm}{Theorem}[section]
\newtheorem{prop}[thm]{Proposition}
\newtheorem{lem}{Lemma}
\newtheorem{cor}{Corollary}

\makeatletter
\newenvironment{pf}[1][\proofname]{\par
  \pushQED{\qed}%
  \normalfont \topsep0\p@\relax
  \trivlist
  \item[\hskip\labelsep\itshape
  #1\@addpunct{.}]\ignorespaces
}{%
  \popQED\endtrivlist\@endpefalse
}
\makeatother

\begin{document}
Some text to indicate the spacing.

\begin{thm}
  First theorem, with sufficiently long text so that it spills on to a
  second line.
\end{thm}

Some text to indicate the spacing.  Fill-up text make this spill on to
an extra line.  Fill-up text make this spill on to an extra line.

More text.

\begin{prop}
  A proposition, with sufficiently long text so that it spills on to a
  second line.
\end{prop}

\begin{pf}
  Proof of the proposition with \verb+pf+ environment and sufficiently
  long text so that it spills on to a second line.
\end{pf}

\begin{prop}
  Another proposition, with sufficiently long text so that it spills
  on to a second line.
\end{prop}

\begin{proof}
  The original proof environment and sufficiently long text so that it
  spills on to a second line.
\end{proof}

\end{document}

示例输出

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