defs.sty

\usepackage{amsmath, amsthm, amssymb}
\usepackage{mathtools}
\allowdisplaybreaks
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{graphicx}
\usepackage{float}
\usepackage{subcaption}
\captionsetup[subfigure]{labelformat=parens, font=scriptsize, labelfont=rm}
\usepackage[inline]{enumitem}
\setlist{nosep}

\usepackage[colorlinks=true,
		raiselinks=true,
		linkcolor=Sepia,%Mahogany,Brown
		citecolor=PineGreen,%Blue
		urlcolor=NavyBlue,
		pdfauthor={},
		pdftitle={},
		pdfkeywords={},
		pdfsubject={},
		plainpages=false]{hyperref}
\usepackage[T1]{fontenc}

\newtheorem{theorem}{Theorem}[section]
\newtheorem{lemma}[theorem]{Lemma}
\theoremstyle{remark}
\newtheorem{remark}{Remark}
\theoremstyle{definition}
\newtheorem{definition}[theorem]{Definition}

\DeclarePairedDelimiterX\aset[1]\lbrace\rbrace{\def\suchthat{\; \delimsize\vert\;}#1}

\newcommand{\Let}{\coloneqq}
%\newcommand{\Let}{\mathrel{\mathop:}=}
\newcommand{\R}[1][]{\ensuremath{\mathbb{R}^{#1}}}
\newcommand{\I}[1][]{\ensuremath{\mathbb{I}^{#1}}}
\newcommand{\bigc}[1]{\bigl{#1\bigr}}
\newcommand{\suchthat}{\mid}
\newcommand{\innerprod}[1]{\langle #1 \rangle}
\newcommand{\norm}[1]{\ensuremath{{\left\lVert #1 \right\rVert}}}
\renewcommand{\mapsto}{\rightarrow}
%\newcommand{\cos}{\mathrm{cos}}
%\newcommand{\sin}{\mathrm{sin}}