diff --git a/content/set-theory/ordinals/replacement.tex b/content/set-theory/ordinals/replacement.tex index 23f36fc8..53ac4ec1 100644 --- a/content/set-theory/ordinals/replacement.tex +++ b/content/set-theory/ordinals/replacement.tex @@ -38,7 +38,7 @@ On first encounter, however, this is quite a tangled formula. The following quick consequence of Replacement probably gives a -\emph{clearer} expression to the intuitive idea we are working with: +\emph{clearer} expression to the intuitive idea we are working with:\footnote{A term is an expression which picks out exactly one object (on any completion of its free variables). For example, ``$\emptyset$'' is a term which picks out the empty set; ``$\{x\}$'' is a term which picks out $x$'s singleton (whatever $x$ might be); ``$x \cup y$'' is a term which picks out the union of $x$ and $y$ (whatever they might be).} \begin{cor} For any term $\tau(x)$, and any set $A$, this set exists: @@ -69,4 +69,5 @@ f(x)}$.} Replacement, by contrast, is a \emph{powerful} addition to our axioms, as we will see in \olref[sth][replacement][]{chap}. -\end{document} \ No newline at end of file + +\end{document}