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diff --git a/doc/refman/RefMan-ltac.tex b/doc/refman/RefMan-ltac.tex
index c4c0435c5..921e80743 100644
--- a/doc/refman/RefMan-ltac.tex
+++ b/doc/refman/RefMan-ltac.tex
@@ -156,6 +156,8 @@ is understood as
& | & {\tt type\_term} {\term}\\
& | & {\tt numgoals} \\
& | & {\tt guard} {\it test}\\
+& | & {\tt assert\_fails} {\tacexprpref}\\
+& | & {\tt assert\_succeds} {\tacexprpref}\\
& | & \atomictac\\
& | & {\qualid} \nelist{\tacarg}{}\\
& | & {\atom}
@@ -598,6 +600,22 @@ The experimental status of this tactic pertains to the fact if $v$ performs side
\ErrMsg \errindex{This tactic has more than one success}
+\subsubsection[Checking the failure]{Checking the failure\tacindex{assert\_fails}\index{Tacticals!assert\_fails@{\tt assert\_fails}}}
+
+Coq provides a derived tactic to check that a tactic \emph{fails}:
+\begin{quote}
+{\tt assert\_fails} {\tacexpr}
+\end{quote}
+This behaves like {\tt tryif {\tacexpr} then fail 0 tac "succeeds" else idtac}.
+
+\subsubsection[Checking the success]{Checking the success\tacindex{assert\_succeeds}\index{Tacticals!assert\_succeeds@{\tt assert\_succeeds}}}
+
+Coq provides a derived tactic to check that a tactic has \emph{at least one} success:
+\begin{quote}
+{\tt assert\_succeeds} {\tacexpr}
+\end{quote}
+This behaves like {\tt tryif (assert\_fails tac) then fail 0 tac "fails" else idtac}.
+
\subsubsection[Solving]{Solving\tacindex{solve}
\index{Tacticals!solve@{\tt solve}}}