branch for universe

[helm.git] / matita / tests / continuationals.ma

diff --git a/matita/tests/continuationals.ma b/matita/tests/continuationals.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+
+include "coq.ma".
+
+alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
+alias id "S" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/2)".
+alias id "trans_equal" = "cic:/Coq/Init/Logic/trans_equal.con".
+alias id "refl_equal" = "cic:/Coq/Init/Logic/eq.ind#xpointer(1/1/1)".
+alias id "Z" = "cic:/Coq/ZArith/BinInt/Z.ind#xpointer(1/1)".
+
+theorem semicolon: \forall p:Prop.p\to p\land p.
+intros (p); split; assumption.
+qed.
+
+theorem branch:\forall x:nat.x=x.
+intros (n);
+elim n
+[ reflexivity;
+| reflexivity ].
+qed.
+
+theorem pos:\forall x:Z.x=x.
+intros (n);
+elim n;
+[ 3: reflexivity;
+| 2: reflexivity;
+| reflexivity ]
+qed.
+
+theorem dot:\forall x:Z.x=x.
+intros (x).
+elim x.
+reflexivity. reflexivity. reflexivity.
+qed.
+
+theorem dot_slice:\forall x:Z.x=x.
+intros (x).
+elim x;
+[ elim x. reflexivity. reflexivity. reflexivity;
+| reflexivity
+| reflexivity ];
+qed.
+
+theorem focus:\forall x:Z.x=x.
+intros (x); elim x.
+focus 16 17;
+  reflexivity;
+unfocus.
+reflexivity.
+qed.
+
+theorem skip:\forall x:nat.x=x. 
+intros (x).
+apply trans_equal;
+[ 2: apply (refl_equal nat x);
+| skip
+| reflexivity
+]
+qed.
+
+theorem skip_focus:\forall x:nat.x=x.
+intros (x).
+apply trans_equal;
+[ focus 18; apply (refl_equal nat x); unfocus;
+| skip  
+| reflexivity ]
+qed.