some more tests

diff --git a/helm/matita/tests/clear.ma b/helm/matita/tests/clear.ma
new file mode 100644 (file)
index 0000000..1fe721d
--- /dev/null
+++ b/helm/matita/tests/clear.ma
@@ -0,0 +1,31 @@
+(**************************************************************************)
+(*       ___                                                               *)
+(*      ||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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+set "baseuri" "cic:/matita/tests/clear".
+alias num (instance 0) = "natural number".
+alias symbol "eq" (instance 0) = "leibnitz's equality".
+alias id "True" = "cic:/Coq/Init/Logic/True.ind#xpointer(1/1)".
+
+
+
+theorem stupid:
+  \forall a: True.
+  \forall b: 0 = 0.
+  0 = 0.
+intros 1 [H] .
+clear H.
+intros 1 [H].
+exact H.
+qed.
+

diff --git a/helm/matita/tests/contradiction.ma b/helm/matita/tests/contradiction.ma
new file mode 100644 (file)
index 0000000..ddd9ac8
--- /dev/null
+++ b/helm/matita/tests/contradiction.ma
@@ -0,0 +1,30 @@
+(**************************************************************************)
+(*       ___                                                               *)
+(*      ||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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+set "baseuri" "cic:/matita/tests/contradiction".
+alias id "True" = "cic:/Coq/Init/Logic/True.ind#xpointer(1/1)".
+alias id "not" = "cic:/Coq/Init/Logic/not.con".
+alias num (instance 0) = "natural number".
+alias symbol "eq" (instance 0) = "leibnitz's equality".
+
+
+
+theorem stupid: \forall a:Prop. a \to not a \to 0 = 1.
+intros.
+letin H \def (H1 H).
+contradiction.
+qed.
+
+
+

diff --git a/helm/matita/tests/cut.ma b/helm/matita/tests/cut.ma
new file mode 100644 (file)
index 0000000..8ba63bd
--- /dev/null
+++ b/helm/matita/tests/cut.ma
@@ -0,0 +1,24 @@
+(**************************************************************************)
+(*       ___                                                               *)
+(*      ||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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+set "baseuri" "cic:/matita/tests/cut".
+alias num (instance 0) = "natural number".
+alias symbol "eq" (instance 0) = "leibnitz's equality".
+
+theorem stupid: 0 = 0.
+  cut 0 = 0.
+  assumption.
+  reflexivity.
+  qed.
+  
\ No newline at end of file

diff --git a/helm/matita/tests/decompose.ma b/helm/matita/tests/decompose.ma
new file mode 100644 (file)
index 0000000..48477f3
--- /dev/null
+++ b/helm/matita/tests/decompose.ma
@@ -0,0 +1,27 @@
+(**************************************************************************)
+(*       ___                                                               *)
+(*      ||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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+set "baseuri" "cic:/matita/tests/decompose".
+alias symbol "and" (instance 0) = "logical and".
+alias symbol "or" (instance 0) = "logical or".
+
+
+
+theorem stupid: 
+  \forall a,b,c:Prop.
+  (a \land c \lor b \land c) \to (c \land (b \lor a)).
+  intros.decompose H.split.assumption.right.assumption.
+  split.assumption.left.assumption.qed.
+
+

diff --git a/helm/matita/tests/discriminate.ma b/helm/matita/tests/discriminate.ma
new file mode 100644 (file)
index 0000000..ca55591
--- /dev/null
+++ b/helm/matita/tests/discriminate.ma
@@ -0,0 +1,26 @@
+(**************************************************************************)
+(*       ___                                                               *)
+(*      ||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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+set "baseuri" "cic:/matita/tests/discriminate".
+alias id "not" = "cic:/Coq/Init/Logic/not.con".
+alias num (instance 0) = "natural number".
+alias symbol "eq" (instance 0) = "leibnitz's equality".
+
+
+theorem stupid:
+  1 = 0 \to (\forall p:Prop. p \to not p).
+  intros.
+  discriminate H.
+  qed.
+