X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground_1%2Ftypes%2Fprops.ma;h=79919dc763b16dc08dfd994f94168efed4f702c0;hb=57ae1762497a5f3ea75740e2908e04adb8642cc2;hp=9c326f44c31655c6dc43c8927456c502d76fe9e5;hpb=88a68a9c334646bc17314d5327cd3b790202acd6;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/ground_1/types/props.ma b/matita/matita/contribs/lambdadelta/ground_1/types/props.ma index 9c326f44c..79919dc76 100644 --- a/matita/matita/contribs/lambdadelta/ground_1/types/props.ma +++ b/matita/matita/contribs/lambdadelta/ground_1/types/props.ma @@ -14,20 +14,17 @@ (* This file was automatically generated: do not edit *********************) -include "Ground-1/types/defs.ma". +include "ground_1/types/defs.ma". -theorem ex2_sym: - \forall (A: Set).(\forall (P: ((A \to Prop))).(\forall (Q: ((A \to +lemma ex2_sym: + \forall (A: Type[0]).(\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 + \lambda (A: Type[0]).(\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 *)