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1 files changed, 5 insertions, 5 deletions
diff --git a/doc/refman/Universes.tex b/doc/refman/Universes.tex
index 018d73908..cd8222269 100644
--- a/doc/refman/Universes.tex
+++ b/doc/refman/Universes.tex
@@ -182,8 +182,8 @@ bound if it is an atomic universe (i.e. not an algebraic max()).
experimental and is likely to change in future versions.
\end{flushleft}
-The syntax has been extended to allow users to explicitely bind names to
-universes and explicitely instantantiate polymorphic
+The syntax has been extended to allow users to explicitly bind names to
+universes and explicitly instantiate polymorphic
definitions. Currently, binding is implicit at the first occurrence of a
universe name. For example, i and j below are introduced by the
annotations attached to Types.
@@ -200,16 +200,16 @@ we are using $A : Type@{i} <= Type@{j}$, hence the generated
constraint. Note that the names here are not bound in the final
definition, they just allow to specify locally what relations should
hold. In the term and in general in proof mode, universe names
-introduced in the types can be refered to in terms.
+introduced in the types can be referred to in terms.
-Definitions can also be instantiated explicitely, giving their full instance:
+Definitions can also be instantiated explicitly, giving their full instance:
\begin{coq_example}
Check (pidentity@{Set}).
Check (le@{i j}).
\end{coq_example}
User-named universes are considered rigid for unification and are never
-miminimized.
+minimized.
Finally, two commands allow to name \emph{global} universes and constraints.