X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Faaa_lift.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Faaa_lift.ma;h=1b2b95b18e3e915435a7473dc31ec4f4bd4f1955;hb=52e675f555f559c047d5449db7fc89a51b977d35;hp=c5fa16299442920a6227cb352abc9c5694e0d28b;hpb=75fac6d60f67a4dfa38ea6c2cc45a18eda5d8996;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/aaa_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/static/aaa_lift.ma index c5fa16299..1b2b95b18 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/aaa_lift.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/aaa_lift.ma @@ -12,7 +12,7 @@ (* *) (**************************************************************************) -include "basic_2/substitution/ldrop_ldrop.ma". +include "basic_2/substitution/drop_drop.ma". include "basic_2/static/aaa.ma". (* ATONIC ARITY ASSIGNMENT ON TERMS *****************************************) @@ -26,18 +26,18 @@ lemma aaa_lift: ∀G,L1,T1,A. ⦃G, L1⦄ ⊢ T1 ⁝ A → ∀L2,s,d,e. ⇩[s, d >(lift_inv_sort1 … H) -H // | #I #G #L1 #K1 #V1 #B #i #HLK1 #_ #IHB #L2 #s #d #e #HL21 #T2 #H elim (lift_inv_lref1 … H) -H * #Hid #H destruct - [ elim (ldrop_trans_le … HL21 … HLK1) -L1 /2 width=2 by lt_to_le/ #X #HLK2 #H - elim (ldrop_inv_skip2 … H) -H /2 width=1 by lt_plus_to_minus_r/ -Hid #K2 #V2 #HK21 #HV12 #H destruct + [ elim (drop_trans_le … HL21 … HLK1) -L1 /2 width=2 by lt_to_le/ #X #HLK2 #H + elim (drop_inv_skip2 … H) -H /2 width=1 by lt_plus_to_minus_r/ -Hid #K2 #V2 #HK21 #HV12 #H destruct /3 width=9 by aaa_lref/ - | lapply (ldrop_trans_ge … HL21 … HLK1 ?) -L1 - /3 width=9 by aaa_lref, ldrop_inv_gen/ + | lapply (drop_trans_ge … HL21 … HLK1 ?) -L1 + /3 width=9 by aaa_lref, drop_inv_gen/ ] | #a #G #L1 #V1 #T1 #B #A #_ #_ #IHB #IHA #L2 #s #d #e #HL21 #X #H elim (lift_inv_bind1 … H) -H #V2 #T2 #HV12 #HT12 #H destruct - /4 width=5 by aaa_abbr, ldrop_skip/ + /4 width=5 by aaa_abbr, drop_skip/ | #a #G #L1 #V1 #T1 #B #A #_ #_ #IHB #IHA #L2 #s #d #e #HL21 #X #H elim (lift_inv_bind1 … H) -H #V2 #T2 #HV12 #HT12 #H destruct - /4 width=5 by aaa_abst, ldrop_skip/ + /4 width=5 by aaa_abst, drop_skip/ | #G #L1 #V1 #T1 #B #A #_ #_ #IHB #IHA #L2 #s #d #e #HL21 #X #H elim (lift_inv_flat1 … H) -H #V2 #T2 #HV12 #HT12 #H destruct /3 width=5 by aaa_appl/ @@ -54,15 +54,15 @@ lemma aaa_inv_lift: ∀G,L2,T2,A. ⦃G, L2⦄ ⊢ T2 ⁝ A → ∀L1,s,d,e. ⇩[ >(lift_inv_sort2 … H) -H // | #I #G #L2 #K2 #V2 #B #i #HLK2 #_ #IHB #L1 #s #d #e #HL21 #T1 #H elim (lift_inv_lref2 … H) -H * #Hid #H destruct - [ elim (ldrop_conf_lt … HL21 … HLK2) -L2 /3 width=9 by aaa_lref/ - | lapply (ldrop_conf_ge … HL21 … HLK2 ?) -L2 /3 width=9 by aaa_lref/ + [ elim (drop_conf_lt … HL21 … HLK2) -L2 /3 width=9 by aaa_lref/ + | lapply (drop_conf_ge … HL21 … HLK2 ?) -L2 /3 width=9 by aaa_lref/ ] | #a #G #L2 #V2 #T2 #B #A #_ #_ #IHB #IHA #L1 #s #d #e #HL21 #X #H elim (lift_inv_bind2 … H) -H #V1 #T1 #HV12 #HT12 #H destruct - /4 width=5 by aaa_abbr, ldrop_skip/ + /4 width=5 by aaa_abbr, drop_skip/ | #a #G #L2 #V2 #T2 #B #A #_ #_ #IHB #IHA #L1 #s #d #e #HL21 #X #H elim (lift_inv_bind2 … H) -H #V1 #T1 #HV12 #HT12 #H destruct - /4 width=5 by aaa_abst, ldrop_skip/ + /4 width=5 by aaa_abst, drop_skip/ | #G #L2 #V2 #T2 #B #A #_ #_ #IHB #IHA #L1 #s #d #e #HL21 #X #H elim (lift_inv_flat2 … H) -H #V1 #T1 #HV12 #HT12 #H destruct /3 width=5 by aaa_appl/