Fix #8251: remove "the the" occurrences

3 files changed, 3 insertions, 3 deletions

diff --git a/doc/sphinx/README.rst b/doc/sphinx/README.rst
index 1643baf0e8..2264b170fc 100644
--- a/doc/sphinx/README.rst
+++ b/doc/sphinx/README.rst
@@ -303,7 +303,7 @@ In addition to the objects and directives above, the ``coqrst`` Sphinx plugin de
        it names the introduced hypothesis :token:`ident`.
 
     Note that this example also uses ``:token:``.  That's because ``ident`` is
-    defined in the the Coq manual as a grammar production, and ``:token:``
+    defined in the Coq manual as a grammar production, and ``:token:``
     creates a link to that.  When referring to a placeholder that happens to be
     a grammar production, ``:token:`…``` is typically preferable to ``:n:`@…```.
 
diff --git a/doc/sphinx/practical-tools/coq-commands.rst b/doc/sphinx/practical-tools/coq-commands.rst
index 0f51b3eba3..88da58c27d 100644
--- a/doc/sphinx/practical-tools/coq-commands.rst
+++ b/doc/sphinx/practical-tools/coq-commands.rst
@@ -107,7 +107,7 @@ and ``coqtop``, unless stated otherwise:
   to the OCaml loadpath. See also: :ref:`names-of-libraries` and the
   command Declare ML Module Section :ref:`compiled-files`.
 :-Q *directory* dirpath: Add physical path *directory* to the list of
-  directories where |Coq| looks for a file and bind it to the the logical
+  directories where |Coq| looks for a file and bind it to the logical
   directory *dirpath*. The subdirectory structure of *directory* is
   recursively available from |Coq| using absolute names (extending the
   dirpath prefix) (see Section :ref:`qualified-names`).Note that only those
diff --git a/doc/sphinx/proof-engine/ltac.rst b/doc/sphinx/proof-engine/ltac.rst
index 6fbb2fac6d..0310dbead5 100644
--- a/doc/sphinx/proof-engine/ltac.rst
+++ b/doc/sphinx/proof-engine/ltac.rst
@@ -391,7 +391,7 @@ tactic to work (i.e. which does not fail) among a panel of tactics:
    focused goal independently and stops if it succeeds; otherwise it
    tries to apply :n:`v__2` and so on. It fails when there is no
    applicable tactic. In other words,
-   :n:`first [@expr__1 | ... | @expr__n]` behaves, in each goal, as the the first
+   :n:`first [@expr__1 | ... | @expr__n]` behaves, in each goal, as the first
    :n:`v__i` to have *at least* one success.
 
    .. exn:: No applicable tactic.