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-rw-r--r--doc/faq/FAQ.tex2
-rw-r--r--doc/refman/Micromega.tex2
-rw-r--r--doc/refman/Setoid.tex2
3 files changed, 3 insertions, 3 deletions
diff --git a/doc/faq/FAQ.tex b/doc/faq/FAQ.tex
index 5806e9d72d..fba210c690 100644
--- a/doc/faq/FAQ.tex
+++ b/doc/faq/FAQ.tex
@@ -1644,7 +1644,7 @@ is a strong specification, using the
\texttt{sumbool} type (look at the reference manual or chapter 9 of
\cite{coqart}). Eliminations of the form
``~\texttt{case (le\_lt\_dec n p)}~'' provide proofs of
-either $n \leq p$ or $p < n$, allowing to prove easily theorems as in
+either $n \leq p$ or $p < n$, allowing easy proofs of some theorems as in
question~\ref{minmax}. Unfortunately, this not the case of your
\texttt{my\_le\_lt\_dec}, which returns a quite non-informative boolean
value.
diff --git a/doc/refman/Micromega.tex b/doc/refman/Micromega.tex
index 7bdbd6d84e..c9180b40c5 100644
--- a/doc/refman/Micromega.tex
+++ b/doc/refman/Micromega.tex
@@ -15,7 +15,7 @@ The {\tt Psatz} module ({\tt Require Psatz.}) gives access to several tactics fo
\item {\tt psatz D n} where {\tt D} is {\tt Z}, {\tt Q} or {\tt R} and {\tt n} is an optional integer limiting the proof search depth is
is an incomplete proof procedure for non-linear arithmetic. It is based on John Harrison's Hol light driver to the external prover {\tt cspd}\footnote{Sources and binaries can be found at \url{https://projects.coin-or.org/Csdp}}.
Note that the {\tt csdp} driver is generating
- a \emph{proof cache} thus allowing to rerun scripts even without {\tt csdp} (see Section~\ref{sec:psatz}).
+ a \emph{proof cache} which allows rerunning scripts even without {\tt csdp} (see Section~\ref{sec:psatz}).
\end{itemize}
The tactics solve propositional formulas parameterised by atomic arithmetics expressions
diff --git a/doc/refman/Setoid.tex b/doc/refman/Setoid.tex
index 55915189ce..ca416d7b1f 100644
--- a/doc/refman/Setoid.tex
+++ b/doc/refman/Setoid.tex
@@ -9,7 +9,7 @@ to work over user-defined structures (called setoids) that are equipped
with ad-hoc equivalence relations meant to behave as equalities.
Actually, the tactics have also been generalized to relations weaker
then equivalences (e.g. rewriting systems). The toolbox also extends the
-automatic rewriting capabilities of the system, allowing to specify
+automatic rewriting capabilities of the system, allowing the specification of
custom strategies for rewriting.
This documentation is adapted from the previous setoid documentation by