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Core language
=============
-At the heart of the |Coq| proof assistant is the |Coq| kernel. While
+At the heart of the Coq proof assistant is the Coq kernel. While
users have access to a language with many convenient features such as
:ref:`notations <syntax-extensions-and-notation-scopes>`,
:ref:`implicit arguments <ImplicitArguments>`, etc. (presented in the