\documentclass[11pt]{article}

\usepackage[margin=1in]{geometry}
\geometry{letterpaper}
\usepackage{graphicx}
\usepackage{amssymb,amsmath,amsthm}

\theoremstyle{plain}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{lemma}{Lemma}

\theoremstyle{definition}
\newtheorem{definition}{Definition}
\newtheorem{poopbutt}{Poop Butt}

\title{Title Goes Here}
\author{this is for your name}
\date{} %if you delete this line then it'll give you whatever date the computer says or you can put a specific date in the brackets, play around with it to see what I mean

\begin{document}
\maketitle

\section{Here is the first section}

you won't need to use the sections much if at all except for on the final papers

\begin{definition}
here is a definition
\end{definition}

\begin{lemma}
here is a lemma
\end{lemma}

\begin{proof}
here is the proof for the lemma
\end{proof}

\begin{theorem}
here is a theorem
\end{theorem}

\begin{proof}
here is the proof of the theorem that presumably uses the above lemma
\end{proof}

\section{here's another section}

\begin{theorem}
and another theorem
\end{theorem}

\begin{proof}
and another proof for good measure
\end{proof}

and then i can just write stuff here if i need to discuss anything

\begin{poopbutt}
there is nothing special about these words
\end{poopbutt}



\end{document}  