\documentclass[11pt,article,oneside]{memoir}

\input{preamble}



\begin{document}

\centerline{\textbf{\Large{Title}}}
\centerline{by me!}
\bigskip

\noindent
Here is some introductory text. Bla, bla, bla, bla, bla, bla, bla, bla, bla, bla, bla, bla, bla.

\chapter{First Section}

Here is some basic text \emph{and some emphasized} bla, bla, bla, bla.  And now here is a footnote.\footnote{This is the text of the footnote.} 

Here is a second paragraph ending with some random math typing: $\ol{A \bimp B^\alpha_j}$.  And some more mathematical typing, $\forall x (Ax \imp \exists y Bxy)$.

\section{First Subsection}

Some text in the subsection.

\subsection{An unnumbered section heading}

Here is a derivation.  It is explained in  \href{https://tonyroyphilosophy.net/wp-content/uploads/2022/09/derLaTeX.pdf}{Typing Derivations in \LaTeX}.
\medskip

\begin{small}
$\til A \crt \til B \singleNDs \til(A \wdg B)$\medskip
\end{small}

\begin{der}{t}{r|l|l|llllllllllllllllllll}
\clOne{1}{\til A \crt \til B}{P}
\caOne{}
\clTwo{2}{A \wdg B}{A ($c$, $\til$I)}
\caTwo{}
\clThree{3a}{A}{A ($c$, \li{2}$\wdg$E)}
\caThree{&}
\clThree{4}{\til A}{\li{1} $\crt$E}
\clThree{3b}{\bot}{\li{3a},\li{4} $\bot$I}
\ctTwo
\clThree{3c}{B}{A ($c$, \li{2}$\wdg$E)}
\caThree{&}
\clThree{5}{\til B}{\li{1} $\crt$E}
\clThree{3d}{\bot}{\li{3c},\li{5} $\bot$I}
\clTwo{2a}{\bot}{\li 2,\li{3a}-\li{3b},\li{3c}-\li{3d} $\wdg$E \dsep}
\clOne{a}{\til(A \wdg B)}{\li{2}-\li{2a} $\til$I \dsep}
\end{der}
\medskip

\noindent
This page illustrates some basic elements for a typical paper---but, of course, there is much more you can do!

\end{document}

