helm/software/matita/tests/clearbody.ma

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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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  11 (*        v         GNU General Public License Version 2                  *)
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  14
  15
  16 include "coq.ma".
  17 alias num (instance 0) = "Coq natural number".
  18 alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
  19 alias symbol "plus" (instance 0) = "Coq's natural plus".
  20
  21 theorem stupid :
  22   let x \def 0 + 1 in x + 2 = x + 2.
  23   intros.
  24   clearbody x.
  25   simplify.
  26   generalize in \vdash (? ? (? % ?) (? % ?)).
  27   intros.
  28   reflexivity.
  29   qed.
  30