eawmath.sty

\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{eawmath}[2021/10/05]

% Packages
\RequirePackage{amsmath}
\RequirePackage{amsfonts}
\RequirePackage{amssymb,enumerate}
\RequirePackage{amsthm,stmaryrd}
\RequirePackage[all]{xy}
\RequirePackage{hyperref}
\RequirePackage{tikz}
\usetikzlibrary{matrix,arrows,decorations.pathmorphing}

%Special Set Symbols
\newcommand{\bbr}{\mathbb{R}}
\newcommand{\bbc}{\mathbb{C}}
\newcommand{\bbz}{\mathbb{Z}}
\newcommand{\bbq}{\mathbb{Q}}
\newcommand{\bbn}{\mathbb{N}}

\renewcommand{\to}{\rightarrow}
\renewcommand*\ker{\operatorname{Ker}}
\newcommand{\aut}[1]{\operatorname{Aut}(#1)}
\newcommand{\sym}[1]{\operatorname{Sym}(#1)}
\newcommand{\inn}[1]{\operatorname{Inn}(#1)}

\newcommand*\comp[1]{\overline{#1}}        % Complement
\newcommand*\cross{\times}                 % Cross Product
\newcommand*\card[1]{\vert{#1}\vert}       % Cardinality
\renewcommand*\emptyset{\text{\O}}         % Prettier empty set
\renewcommand*\lnot{\sim}                  % Different Logical Negation Notation
\newcommand*\ifonlyif{\Longleftrightarrow} % Biconditionality

\newcommand*\quotes[1]{``{#1}''}           % Quotes
\newcommand*\singlequotes[1]{`{#1}'}       

\let\oldforall\forall                      % Adds space to quantifiers
\renewcommand*\forall{\oldforall\,}  
\let\oldexists\exists
\renewcommand*\exists{\oldexists\,}   

\newcommand{\divides}{ \mid }              % Divides
\newcommand{\ndivides}{ \nmid }            % Not Divides
\renewcommand*\mod[1]{ (mod $#1$)}         % Modulo
\renewcommand*\gcd[1]{gcd ($#1$)}          % Greatest Common Divisor
\newcommand*\lcm[1]{lcm ($#1$)}            % Least Common Multiple
\newcommand*{\relates}{\sim}               % Relation
\newcommand*\abs[1]{\vert #1 \vert}        % Absolute Value
\renewcommand*\choose[2]{\binom{#1}{#2}}   % Modernizes Choose

%2x2 multiplication tables with and without index. input 1 is operation, input 2-3 are group elements, and 4-7 are outputs.
\newcounter{multtable}
\newcommand*\multtable[7]{
\begin{tabular}{||c || c | c||} 
 \hline
 $#1$ & $#2$ & $#3$\\  
 \hline\hline
 $#2$ & $#4$ & $#5$\\
 \hline
 $#3$  & $#6$ & $#7$\\
 \hline
 \end{tabular}}
\newcounter{multtableindex}
\newcommand*\multtableindexed[7]{\refstepcounter{multtableindex}\multtable{#1_{\themulttableindex}}{#2}{#3}{#4}{#5}{#6}{#7}}

\newcommand{\matrixtwobytwo}[4]{
\left[
\begin{tabular}[]{c c}
	$#1$ & $#2$\\
	$#3$ & $#4$
\end{tabular}
\right]}

\newcommand{\matrixthreebytwo}[6]{
\left[
\begin{tabular}[]{c c c}
	$#1$ & $#2$ & $#3$\\
	$#4$ & $#5$ & $#6$
\end{tabular}
\right]}

\newtheorem{case}{Case}
\newtheorem{subcase}{Case}
\numberwithin{subcase}{case}
\theoremstyle{definition}
\newtheorem{prob}{Problem}

% Placeholders with todos
\RequirePackage{todonotes}
\newcommand*\pl[1]{\todo{Fill in}#1}

% Newline
\newcommand{\n}{\newline}

% Academic Class Macros
\newcommand*\mathclass[1]{
\ifnum#1=455 
{Introduction to Abstract Algebra\\MATH 455}\else {MATH #1}\fi}