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diff --git a/doc/refman/RefMan-tac.tex b/doc/refman/RefMan-tac.tex
index d23a49bc6..2da12c8d6 100644
--- a/doc/refman/RefMan-tac.tex
+++ b/doc/refman/RefMan-tac.tex
@@ -2289,6 +2289,12 @@ giving \texttt{injection {\term} as} (with an empty list of names). To
obtain this behavior, the option {\tt Set Structural Injection} must
be activated. This option is off by default.
+By default, \texttt{injection} only creates new equalities between
+terms whose type is in sort \texttt{Type} or \texttt{Set}, thus
+implementing a special behavior for objects that are proofs
+of a statement in \texttt{Prop}. This behavior can be turned off
+by setting the option \texttt{Set Keep Proof Equalities}.
+\optindex{Keep Proof Equalities}
\subsection{\tt inversion \ident}
\tacindex{inversion}
@@ -2308,6 +2314,14 @@ latter is first introduced in the local context using
stock the lemmas whenever the same instance needs to be inverted
several times. See Section~\ref{Derive-Inversion}.
+\Rem Part of the behavior of the \texttt{inversion} tactic is to generate
+equalities between expressions that appeared in the hypothesis that is
+being processed. By default, no equalities are generated if they relate
+two proofs (i.e. equalities between terms whose type is in
+sort \texttt{Prop}). This behavior can be turned off by using the option
+\texttt{Set Keep Proof Equalities.}
+\optindex{Keep Proof Equalities}
+
\begin{Variants}
\item \texttt{inversion \num}