helm/software/matita/tests/paratest.ma

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   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  13 (**************************************************************************)
  14
  15 include "nat/plus.ma".
  16
  17 ntheorem boo:
  18    ((λx.x = x) ?) → 0 = 0.
  19 ##[ #H; nwhd in H ⊢ %; nauto by H.
  20
  21 ntheorem foo:
  22    ((λx.x + 0 = x) ?) →
  23    ((λx,y.x + S y = S (x + y)) ? ?) →
  24    ((λx,y.y + x = x + y) ? ?) →
  25    ∀x. ((λz. x + x = z + S z) ?).
  26 ##[ #H; #H1; #H2; #x; nwhd in H H1 H2 ⊢ %; nauto by H, H1, H2.