我目前正在写我的项目,我想在其中写带有自动编号的练习。例如,我希望格式如下。
练习 1:证明空集公理的唯一性
配对公理此公理也称为无序对公理 [2],指出我们可以从任意两个集合 x 和 y 创建一个包含 x 和 y 的新集合 A。A 表示为{x,y}。正式写为,∀ x ∀ y ∃ ! A ∀ z [ z ∈ A ⇔ ( z= x ∨ z= b)
练习 2:证明恰好有一个这样的集合。
答案1
添加\newtheorem{exercise}{Exercise}
到您的序言中并将其用作\begin{exercise}Text of exercise.\end{exercise}
。
\documentclass{article}
\newtheorem{exercise}{Exercise}
\begin{document}
I am currently writing my project and I want to write exercises in it with auto numbering. For example, I want the format to be like this.
\begin{exercise}
Prove the uniqueness of the Empty set Axiom.
\end{exercise}
Pairing Axiom. This axiom is also called `Axiom of the Unordered Pair' and states that we can create a new set $A$ that contains $x$ and $y$, for any two sets $x$ and $y$. $A$ is written as $\{x,y\}$. This is formally written as
\[ \forall x,y\, \exists! A\, \forall z \big( z \in A \Leftrightarrow (z=x \lor z=y)\big) \]
\begin{exercise}
Show that there is exactly one such set.
\end{exercise}
\end{document}