X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Fgetl%2Fgetl.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Fgetl%2Fgetl.ma;h=824b1b181ec439cb334d1b08f3624c4137d909a2;hb=d795687ffe924872a5e36122c2bd3069d6409454;hp=71327becf1ca702dd30b78346cfa1c1837352472;hpb=8c62eb7de90e3c9a3a960fb0b3845bc561dddb75;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_1/getl/getl.ma b/matita/matita/contribs/lambdadelta/basic_1/getl/getl.ma index 71327becf..824b1b181 100644 --- a/matita/matita/contribs/lambdadelta/basic_1/getl/getl.ma +++ b/matita/matita/contribs/lambdadelta/basic_1/getl/getl.ma @@ -14,9 +14,9 @@ (* This file was automatically generated: do not edit *********************) -include "Basic-1/getl/drop.ma". +include "basic_1/getl/drop.ma". -include "Basic-1/getl/clear.ma". +include "basic_1/getl/clear.ma". theorem getl_conf_le: \forall (i: nat).(\forall (a: C).(\forall (c: C).((getl i c a) \to (\forall @@ -25,14 +25,13 @@ a)))))))) \def \lambda (i: nat).(\lambda (a: C).(\lambda (c: C).(\lambda (H: (getl i c a)).(\lambda (e: C).(\lambda (h: nat).(\lambda (H0: (getl h c e)).(\lambda -(H1: (le h i)).(let H2 \def (getl_gen_all c e h H0) in (ex2_ind C (\lambda -(e0: C).(drop h O c e0)) (\lambda (e0: C).(clear e0 e)) (getl (minus i h) e -a) (\lambda (x: C).(\lambda (H3: (drop h O c x)).(\lambda (H4: (clear x -e)).(getl_clear_conf (minus i h) x a (getl_drop_conf_ge i a c H x h O H3 H1) -e H4)))) H2))))))))). -(* COMMENTS -Initial nodes: 133 -END *) +(H1: (le h i)).(let H2 \def (getl_gen_all c e h H0) in (let TMP_1 \def +(\lambda (e0: C).(drop h O c e0)) in (let TMP_2 \def (\lambda (e0: C).(clear +e0 e)) in (let TMP_3 \def (minus i h) in (let TMP_4 \def (getl TMP_3 e a) in +(let TMP_7 \def (\lambda (x: C).(\lambda (H3: (drop h O c x)).(\lambda (H4: +(clear x e)).(let TMP_5 \def (minus i h) in (let TMP_6 \def +(getl_drop_conf_ge i a c H x h O H3 H1) in (getl_clear_conf TMP_5 x a TMP_6 e +H4)))))) in (ex2_ind C TMP_1 TMP_2 TMP_4 TMP_7 H2)))))))))))))). theorem getl_trans: \forall (i: nat).(\forall (c1: C).(\forall (c2: C).(\forall (h: nat).((getl @@ -41,17 +40,19 @@ e2))))))) \def \lambda (i: nat).(\lambda (c1: C).(\lambda (c2: C).(\lambda (h: nat).(\lambda (H: (getl h c1 c2)).(\lambda (e2: C).(\lambda (H0: (getl i c2 -e2)).(let H1 \def (getl_gen_all c2 e2 i H0) in (ex2_ind C (\lambda (e: -C).(drop i O c2 e)) (\lambda (e: C).(clear e e2)) (getl (plus i h) c1 e2) -(\lambda (x: C).(\lambda (H2: (drop i O c2 x)).(\lambda (H3: (clear x -e2)).(nat_ind (\lambda (n: nat).((drop n O c2 x) \to (getl (plus n h) c1 -e2))) (\lambda (H4: (drop O O c2 x)).(let H5 \def (eq_ind_r C x (\lambda (c: -C).(clear c e2)) H3 c2 (drop_gen_refl c2 x H4)) in (getl_clear_trans (plus O -h) c1 c2 H e2 H5))) (\lambda (i0: nat).(\lambda (_: (((drop i0 O c2 x) \to -(getl (plus i0 h) c1 e2)))).(\lambda (H4: (drop (S i0) O c2 x)).(let H_y \def -(getl_drop_trans c1 c2 h H x i0 H4) in (getl_intro (plus (S i0) h) c1 e2 x -H_y H3))))) i H2)))) H1)))))))). -(* COMMENTS -Initial nodes: 247 -END *) +e2)).(let H1 \def (getl_gen_all c2 e2 i H0) in (let TMP_1 \def (\lambda (e: +C).(drop i O c2 e)) in (let TMP_2 \def (\lambda (e: C).(clear e e2)) in (let +TMP_3 \def (plus i h) in (let TMP_4 \def (getl TMP_3 c1 e2) in (let TMP_14 +\def (\lambda (x: C).(\lambda (H2: (drop i O c2 x)).(\lambda (H3: (clear x +e2)).(let TMP_6 \def (\lambda (n: nat).((drop n O c2 x) \to (let TMP_5 \def +(plus n h) in (getl TMP_5 c1 e2)))) in (let TMP_10 \def (\lambda (H4: (drop O +O c2 x)).(let TMP_7 \def (\lambda (c: C).(clear c e2)) in (let TMP_8 \def +(drop_gen_refl c2 x H4) in (let H5 \def (eq_ind_r C x TMP_7 H3 c2 TMP_8) in +(let TMP_9 \def (plus O h) in (getl_clear_trans TMP_9 c1 c2 H e2 H5)))))) in +(let TMP_13 \def (\lambda (i0: nat).(\lambda (_: (((drop i0 O c2 x) \to (getl +(plus i0 h) c1 e2)))).(\lambda (H4: (drop (S i0) O c2 x)).(let H_y \def +(getl_drop_trans c1 c2 h H x i0 H4) in (let TMP_11 \def (S i0) in (let TMP_12 +\def (plus TMP_11 h) in (getl_intro TMP_12 c1 e2 x H_y H3))))))) in (nat_ind +TMP_6 TMP_10 TMP_13 i H2))))))) in (ex2_ind C TMP_1 TMP_2 TMP_4 TMP_14 +H1))))))))))))).