% TC boxes
\tcbset {
  base/.style={
    boxrule=0mm,
    left=1.75mm,
    arc=2mm,
    colbacktitle=black!10!white, 
    coltitle=black, 
    fonttitle=\bfseries,
    toptitle=0.75mm, 
    bottomtitle=0.25mm,
    title={#1}
  }
}
\newtcolorbox{subbox}[1]{
  colframe=black!20!white,
  base={#1}
}

% Math helpers, General
\def\limxo{\lim_{x\to 0}}
\def\limxi{\lim_{x\to\infty}}
\def\limxn{\lim_{x\to-\infty}}
\def\sumk{\sum_{k=1}^\infty}
\def\sumn{\sum_{n=0}^\infty}
\def\dx{\text{ d}x}

\def\R{\mathbb{R}}
\def\Q{\mathbb{Q}}
\def\N{\mathbb{N}}
\def\C{\mathbb{C}}
\def\Z{\mathbb{Z}}

\def\S{\mathcal{S}}

\def\Def{\overset{\text{def.}}{\iff}}

\def \cgeq{\succcurlyeq}
\def \cleq{\preccurlyeq}

% Math helpers, Analysis
\def \limn{\lim\limits_{n \to \infty}}
\def \limi{\liminf\limits_{n \to \infty}}
\def \lims{\limsup\limits_{n \to \infty}}

\def \ord{\text{ord}}
\def \tr{\text{Tr}}
\def \sep{\ |\ }

\def \iffdef{\overset{\text{def}}{\iff}}

\def \dfd#1{\frac{\partial f}{\partial x_#1}}
\def \sdfd#1{\partial_{x_#1}f}
\def \ssdfd#1{\partial_#1f}
\def \dd#1#2{\frac{\partial_#1}{\partial x_#2}}   % to replace f

% Math helpers, Probability
\def \comp{\text{C}}

\def \P{\mathbb{P}}
\def \F{\mathcal{F}}
\def \E{\mathbb{E}}
\def \I{\mathbb{I}}
\def \V{\mathbb{V}}

% Titles
\def \definition{\colorbox{lightgray}{Def} }
\def \notation{\colorbox{lightgray}{Notation} }
\def \remark{\colorbox{lightgray}{Remark} }
\def \theorem{\colorbox{gray}{Th.} }
\def \lemma{\colorbox{gray}{Lem.} }
\def \method{\colorbox{lightgray}{Method} }


% For intuiton and less important notes
\def \subtext#1{
    \color{gray}\footnotesize
    #1
    \color{black}\normalsize
}

% inside tc boxes
\def \smalltext#1{
    \footnotesize
    #1
    \normalsize
}
