helm/software/matita/tests/test3.ma

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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
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  11 (*        v         GNU General Public License Version 2                  *)
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  13 (**************************************************************************)
  14
  15 set "baseuri" "cic:/matita/tests/test3/".
  16 include "../legacy/coq.ma".
  17
  18 alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
  19 theorem a:\forall x.x=x.
  20 alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
  21 [ exact nat.
  22 | intro. reflexivity.
  23 ]
  24 qed.
  25 alias num (instance 0) = "natural number".
  26 alias symbol "times" (instance 0) = "Coq's natural times".
  27
  28 theorem b:\forall p:nat. p * 0=0.
  29 intro.
  30 auto new library.
  31 qed.