diff --git a/group.tex b/group.tex
index 902ccb4..c525416 100644
--- a/group.tex
+++ b/group.tex
@@ -2417,14 +2417,14 @@ \section{Homomorphisms; abstract vs.~concrete}
  $$
 and so, since $\iscontr~C(x)$ is a proposition
  $$
- \prod_{x:\BG_\div}~ \Trunc{a = x}\rightarrow\iscontr~ C(x)
+ \prod_{x:\BG_\div}~ \Trunc{{\shape_G} = x}\rightarrow\iscontr~ C(x)
  $$
  Since $\BG_\div$ is connected, we have
  $\prod_{x:\BG_\div}\iscontr~ C(x)$
  and so, in particular, we have an element of $\prod_{x:\BG_\div}C(x)$.
 
  We get in this way a map $g:\BG_\div\rightarrow \BH_\div$
- together with a map $p:(a=x)\rightarrow ({\shape_H} = g(x))$ such that
+ together with a map $p:({\shape_G}=x)\rightarrow ({\shape_H} = g(x))$ such that
  $p (\alpha\omega) = p(\alpha) f(\omega)$
  for all $\alpha$ in ${\shape_G}=x$ and $\omega$ in ${\shape_G}={\shape_G}$.
 We have, for $\alpha:{\shape_G}=x$