X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground_1%2Ftypes%2Fprops.ma;h=1948116a6c62a0a22143c15711222cc0a32661bc;hb=14a8276e6d877c2281a1fda452ed3e4c150f5d39;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..1948116a6 100644 --- a/matita/matita/contribs/lambdadelta/ground_1/types/props.ma +++ b/matita/matita/contribs/lambdadelta/ground_1/types/props.ma @@ -14,20 +14,20 @@ (* 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 + \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 *) +x)))).(let TMP_1 \def (\lambda (x: A).(P x)) in (let TMP_2 \def (\lambda (x: +A).(Q x)) in (let TMP_3 \def (\lambda (x: A).(Q x)) in (let TMP_4 \def +(\lambda (x: A).(P x)) in (let TMP_5 \def (ex2 A TMP_3 TMP_4) in (let TMP_8 +\def (\lambda (x: A).(\lambda (H0: (P x)).(\lambda (H1: (Q x)).(let TMP_6 +\def (\lambda (x0: A).(Q x0)) in (let TMP_7 \def (\lambda (x0: A).(P x0)) in +(ex_intro2 A TMP_6 TMP_7 x H1 H0)))))) in (ex2_ind A TMP_1 TMP_2 TMP_5 TMP_8 +H)))))))))).