X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Farity%2Flift1.ma;h=5d668d2c2d650d2a6e48a497a631ff226e96348f;hb=f7b122ac0979ee71c222d09d3ce32ded37767cd5;hp=4077a8a1c117154e130fd249a94857cdc4e5e4c2;hpb=ae22633ad934bba5fb32143f1726cdfbd255b899;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_1/arity/lift1.ma b/matita/matita/contribs/lambdadelta/basic_1/arity/lift1.ma index 4077a8a1c..5d668d2c2 100644 --- a/matita/matita/contribs/lambdadelta/basic_1/arity/lift1.ma +++ b/matita/matita/contribs/lambdadelta/basic_1/arity/lift1.ma @@ -14,31 +14,32 @@ (* This file was automatically generated: do not edit *********************) -include "Basic-1/arity/props.ma". +include "basic_1/arity/props.ma". -include "Basic-1/drop1/fwd.ma". +include "basic_1/drop1/fwd.ma". theorem arity_lift1: \forall (g: G).(\forall (a: A).(\forall (c2: C).(\forall (hds: PList).(\forall (c1: C).(\forall (t: T).((drop1 hds c1 c2) \to ((arity g c2 t a) \to (arity g c1 (lift1 hds t) a)))))))) \def - \lambda (g: G).(\lambda (a: A).(\lambda (c2: C).(\lambda (hds: -PList).(PList_ind (\lambda (p: PList).(\forall (c1: C).(\forall (t: -T).((drop1 p c1 c2) \to ((arity g c2 t a) \to (arity g c1 (lift1 p t) a)))))) -(\lambda (c1: C).(\lambda (t: T).(\lambda (H: (drop1 PNil c1 c2)).(\lambda -(H0: (arity g c2 t a)).(let H_y \def (drop1_gen_pnil c1 c2 H) in (eq_ind_r C -c2 (\lambda (c: C).(arity g c t a)) H0 c1 H_y)))))) (\lambda (n: + \lambda (g: G).(\lambda (a: A).(\lambda (c2: C).(\lambda (hds: PList).(let +TMP_2 \def (\lambda (p: PList).(\forall (c1: C).(\forall (t: T).((drop1 p c1 +c2) \to ((arity g c2 t a) \to (let TMP_1 \def (lift1 p t) in (arity g c1 +TMP_1 a))))))) in (let TMP_4 \def (\lambda (c1: C).(\lambda (t: T).(\lambda +(H: (drop1 PNil c1 c2)).(\lambda (H0: (arity g c2 t a)).(let H_y \def +(drop1_gen_pnil c1 c2 H) in (let TMP_3 \def (\lambda (c: C).(arity g c t a)) +in (eq_ind_r C c2 TMP_3 H0 c1 H_y))))))) in (let TMP_13 \def (\lambda (n: nat).(\lambda (n0: nat).(\lambda (p: PList).(\lambda (H: ((\forall (c1: C).(\forall (t: T).((drop1 p c1 c2) \to ((arity g c2 t a) \to (arity g c1 (lift1 p t) a))))))).(\lambda (c1: C).(\lambda (t: T).(\lambda (H0: (drop1 (PCons n n0 p) c1 c2)).(\lambda (H1: (arity g c2 t a)).(let H_x \def -(drop1_gen_pcons c1 c2 p n n0 H0) in (let H2 \def H_x in (ex2_ind C (\lambda -(c3: C).(drop n n0 c1 c3)) (\lambda (c3: C).(drop1 p c3 c2)) (arity g c1 -(lift n n0 (lift1 p t)) a) (\lambda (x: C).(\lambda (H3: (drop n n0 c1 -x)).(\lambda (H4: (drop1 p x c2)).(arity_lift g x (lift1 p t) a (H x t H4 H1) -c1 n n0 H3)))) H2))))))))))) hds)))). -(* COMMENTS -Initial nodes: 289 -END *) +(drop1_gen_pcons c1 c2 p n n0 H0) in (let H2 \def H_x in (let TMP_5 \def +(\lambda (c3: C).(drop n n0 c1 c3)) in (let TMP_6 \def (\lambda (c3: +C).(drop1 p c3 c2)) in (let TMP_7 \def (lift1 p t) in (let TMP_8 \def (lift n +n0 TMP_7) in (let TMP_9 \def (arity g c1 TMP_8 a) in (let TMP_12 \def +(\lambda (x: C).(\lambda (H3: (drop n n0 c1 x)).(\lambda (H4: (drop1 p x +c2)).(let TMP_10 \def (lift1 p t) in (let TMP_11 \def (H x t H4 H1) in +(arity_lift g x TMP_10 a TMP_11 c1 n n0 H3)))))) in (ex2_ind C TMP_5 TMP_6 +TMP_9 TMP_12 H2))))))))))))))))) in (PList_ind TMP_2 TMP_4 TMP_13 hds))))))).