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=81bf3f928c3a103191f71568a42167c77a87fdff;hb=14a8276e6d877c2281a1fda452ed3e4c150f5d39;hp=18cf0589eedf4ec26a1703ac2d713b90f4d978b8;hpb=9c954a9a843ebb1bf189536df4e14f77132ed1cf;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 18cf0589e..81bf3f928 100644 --- a/matita/matita/contribs/lambdadelta/ground_1/plist/props.ma +++ b/matita/matita/contribs/lambdadelta/ground_1/plist/props.ma @@ -20,23 +20,22 @@ theorem papp_ss: \forall (is1: PList).(\forall (is2: PList).(eq PList (papp (Ss is1) (Ss is2)) (Ss (papp is1 is2)))) \def - \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)))). + \lambda (is1: PList).(let TMP_6 \def (\lambda (p: PList).(\forall (is2: +PList).(let TMP_1 \def (Ss p) in (let TMP_2 \def (Ss is2) in (let TMP_3 \def +(papp TMP_1 TMP_2) in (let TMP_4 \def (papp p is2) in (let TMP_5 \def (Ss +TMP_4) in (eq PList TMP_3 TMP_5)))))))) in (let TMP_8 \def (\lambda (is2: +PList).(let TMP_7 \def (Ss is2) in (refl_equal PList TMP_7))) in (let TMP_27 +\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_9 \def (papp p is2) in (let TMP_10 +\def (Ss TMP_9) in (let TMP_17 \def (\lambda (p0: PList).(let TMP_11 \def (S +n0) in (let TMP_12 \def (PCons n TMP_11 p0) in (let TMP_13 \def (S n0) in +(let TMP_14 \def (papp p is2) in (let TMP_15 \def (Ss TMP_14) in (let TMP_16 +\def (PCons n TMP_13 TMP_15) in (eq PList TMP_12 TMP_16)))))))) in (let +TMP_18 \def (S n0) in (let TMP_19 \def (papp p is2) in (let TMP_20 \def (Ss +TMP_19) in (let TMP_21 \def (PCons n TMP_18 TMP_20) in (let TMP_22 \def +(refl_equal PList TMP_21) in (let TMP_23 \def (Ss p) in (let TMP_24 \def (Ss +is2) in (let TMP_25 \def (papp TMP_23 TMP_24) in (let TMP_26 \def (H is2) in +(eq_ind_r PList TMP_10 TMP_17 TMP_22 TMP_25 TMP_26)))))))))))))))))) in +(PList_ind TMP_6 TMP_8 TMP_27 is1)))).