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diff --git a/doc/refman/RefMan-gal.tex b/doc/refman/RefMan-gal.tex
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--- a/doc/refman/RefMan-gal.tex
+++ b/doc/refman/RefMan-gal.tex
@@ -1589,11 +1589,11 @@ These commands are synonyms of \texttt{Theorem {\ident} \zeroone{\binders} : {\t
This command is useful for theorems that are proved by simultaneous
induction over a mutually inductive assumption, or that assert mutually
-dependent statements in some mutual coinductive type. It is equivalent
+dependent statements in some mutual co-inductive type. It is equivalent
to {\tt Fixpoint} or {\tt CoFixpoint}
(see Section~\ref{CoFixpoint}) but using tactics to build the proof of
the statements (or the body of the specification, depending on the
-point of view). The inductive or coinductive types on which the
+point of view). The inductive or co-inductive types on which the
induction or coinduction has to be done is assumed to be non ambiguous
and is guessed by the system.