X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matitaB%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FGround-1%2Ftypes%2Fprops.ma;fp=matitaB%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FGround-1%2Ftypes%2Fprops.ma;h=0000000000000000000000000000000000000000;hb=88a68a9c334646bc17314d5327cd3b790202acd6;hp=9c326f44c31655c6dc43c8927456c502d76fe9e5;hpb=4904accd80118cb8126e308ae098d87f8651c9f4;p=helm.git diff --git a/matitaB/matita/contribs/LAMBDA-TYPES/Ground-1/types/props.ma b/matitaB/matita/contribs/LAMBDA-TYPES/Ground-1/types/props.ma deleted file mode 100644 index 9c326f44c..000000000 --- a/matitaB/matita/contribs/LAMBDA-TYPES/Ground-1/types/props.ma +++ /dev/null @@ -1,33 +0,0 @@ -(**************************************************************************) -(* ___ *) -(* ||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 *) -(* *) -(**************************************************************************) - -(* This file was automatically generated: do not edit *********************) - -include "Ground-1/types/defs.ma". - -theorem ex2_sym: - \forall (A: Set).(\forall (P: ((A \to Prop))).(\forall (Q: ((A \to -Prop))).((ex2 A (\lambda (x: A).(P x)) (\lambda (x: A).(Q x))) \to (ex2 A -(\lambda (x: A).(Q x)) (\lambda (x: A).(P x)))))) -\def - \lambda (A: Set).(\lambda (P: ((A \to Prop))).(\lambda (Q: ((A \to -Prop))).(\lambda (H: (ex2 A (\lambda (x: A).(P x)) (\lambda (x: A).(Q -x)))).(ex2_ind A (\lambda (x: A).(P x)) (\lambda (x: A).(Q x)) (ex2 A -(\lambda (x: A).(Q x)) (\lambda (x: A).(P x))) (\lambda (x: A).(\lambda (H0: -(P x)).(\lambda (H1: (Q x)).(ex_intro2 A (\lambda (x0: A).(Q x0)) (\lambda -(x0: A).(P x0)) x H1 H0)))) H)))). -(* COMMENTS -Initial nodes: 91 -END *) -