X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground_1%2Fplist%2Fprops.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground_1%2Fplist%2Fprops.ma;h=18cf0589eedf4ec26a1703ac2d713b90f4d978b8;hb=9c954a9a843ebb1bf189536df4e14f77132ed1cf;hp=ce17a3c12f47c52679db85e9ac0182490df65953;hpb=e51d01099c08e9945ea093da6fcac353db7ca23c;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/ground_1/plist/props.ma b/matita/matita/contribs/lambdadelta/ground_1/plist/props.ma index ce17a3c12..18cf0589e 100644 --- a/matita/matita/contribs/lambdadelta/ground_1/plist/props.ma +++ b/matita/matita/contribs/lambdadelta/ground_1/plist/props.ma @@ -20,12 +20,23 @@ theorem papp_ss: \forall (is1: PList).(\forall (is2: PList).(eq PList (papp (Ss is1) (Ss is2)) (Ss (papp is1 is2)))) \def - \lambda (is1: PList).(PList_ind (\lambda (p: PList).(\forall (is2: -PList).(eq PList (papp (Ss p) (Ss is2)) (Ss (papp p is2))))) (\lambda (is2: -PList).(refl_equal PList (Ss is2))) (\lambda (n: nat).(\lambda (n0: -nat).(\lambda (p: PList).(\lambda (H: ((\forall (is2: PList).(eq PList (papp -(Ss p) (Ss is2)) (Ss (papp p is2)))))).(\lambda (is2: PList).(eq_ind_r PList -(Ss (papp p is2)) (\lambda (p0: PList).(eq PList (PCons n (S n0) p0) (PCons n -(S n0) (Ss (papp p is2))))) (refl_equal PList (PCons n (S n0) (Ss (papp p -is2)))) (papp (Ss p) (Ss is2)) (H is2))))))) is1). + \lambda (is1: PList).(let TMP_885 \def (\lambda (p: PList).(\forall (is2: +PList).(let TMP_883 \def (Ss p) in (let TMP_882 \def (Ss is2) in (let TMP_884 +\def (papp TMP_883 TMP_882) in (let TMP_880 \def (papp p is2) in (let TMP_881 +\def (Ss TMP_880) in (eq PList TMP_884 TMP_881)))))))) in (let TMP_879 \def +(\lambda (is2: PList).(let TMP_878 \def (Ss is2) in (refl_equal PList +TMP_878))) in (let TMP_877 \def (\lambda (n: nat).(\lambda (n0: nat).(\lambda +(p: PList).(\lambda (H: ((\forall (is2: PList).(eq PList (papp (Ss p) (Ss +is2)) (Ss (papp p is2)))))).(\lambda (is2: PList).(let TMP_875 \def (papp p +is2) in (let TMP_876 \def (Ss TMP_875) in (let TMP_874 \def (\lambda (p0: +PList).(let TMP_872 \def (S n0) in (let TMP_873 \def (PCons n TMP_872 p0) in +(let TMP_870 \def (S n0) in (let TMP_868 \def (papp p is2) in (let TMP_869 +\def (Ss TMP_868) in (let TMP_871 \def (PCons n TMP_870 TMP_869) in (eq PList +TMP_873 TMP_871)))))))) in (let TMP_865 \def (S n0) in (let TMP_863 \def +(papp p is2) in (let TMP_864 \def (Ss TMP_863) in (let TMP_866 \def (PCons n +TMP_865 TMP_864) in (let TMP_867 \def (refl_equal PList TMP_866) in (let +TMP_861 \def (Ss p) in (let TMP_860 \def (Ss is2) in (let TMP_862 \def (papp +TMP_861 TMP_860) in (let TMP_859 \def (H is2) in (eq_ind_r PList TMP_876 +TMP_874 TMP_867 TMP_862 TMP_859)))))))))))))))))) in (PList_ind TMP_885 +TMP_879 TMP_877 is1)))).