X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Ftests%2Fdecompose.ma;fp=matita%2Ftests%2Fdecompose.ma;h=39d04755e617802559a13e9018ace01ffedd012c;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/tests/decompose.ma b/matita/tests/decompose.ma new file mode 100644 index 000000000..39d04755e --- /dev/null +++ b/matita/tests/decompose.ma @@ -0,0 +1,29 @@ +(**************************************************************************) +(* ___ *) +(* ||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 "logic/connectives.ma". + +theorem stupid: + \forall a,b,c:Prop. + (a \land c \lor b \land c) \to (c \land (b \lor a)). + intros.decompose.split.assumption.right.assumption. + split.assumption.left.assumption.qed. + +definition MyFalse \def False. + +theorem ex_falso_quodlibet: \forall (P:Prop). MyFalse \to P. + intros. decompose. +qed.