Minor edits

Advanced/Quotient Groups/parts/0 mod.tex

@@ -1,7 +1,7 @@
 \section{Modular Arithmetic}
 
 I'm sure you're all familiar with modular arithmetic.
-In this section, our goal is to meet \textit{equivalence relations},
+In this section, our goal is to define \textit{equivalence relations},
 \textit{equivalence classes}, and use them to formally define arithmetic in mod $n$.
 
 
@@ -88,14 +88,9 @@ What is the equivalence class of $3$ in $\mathbb{Z}$ under $\equiv_5$? \par
 
 \problem{}
 Let $A$ be a set and $\sim$ an equivalence relation. \par
-Show that every element of $A$ is in \textit{exactly one} equivalence class\footnotemark{}\hspace{-1ex}. \par
+Show that every element of $A$ is in \textit{exactly one} equivalence class. \par
 \hint{What properties does an equivalence relation satisfy?}
 
-\footnotetext{
-	We could also say \say{$A$ is partitioned by $[A ~/ \sim]$}
-	or \say{$A$ is the disjoint union of $[A ~/ \sim]$,} \par
-	where $[A ~/ \sim]$ is the set of equivalence classes of $\sim$.
-}
 
 \vfill