X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Fda_lift.ma;h=b2ad8b8828e0b2dfe45567c874a486768fbddab8;hb=52e675f555f559c047d5449db7fc89a51b977d35;hp=597420ddfe2233a8c0ce15ab250e7b962368ae4b;hpb=75fac6d60f67a4dfa38ea6c2cc45a18eda5d8996;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/da_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/static/da_lift.ma index 597420ddf..b2ad8b882 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/da_lift.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/da_lift.ma @@ -12,7 +12,7 @@ (* *) (**************************************************************************) -include "basic_2/substitution/ldrop_ldrop.ma". +include "basic_2/substitution/drop_drop.ma". include "basic_2/static/da.ma". (* DEGREE ASSIGNMENT FOR TERMS **********************************************) @@ -27,23 +27,23 @@ lemma da_lift: ∀h,g,G,L1,T1,l. ⦃G, L1⦄ ⊢ T1 ▪[h, g] l → >(lift_inv_sort1 … H) -X /2 width=1 by da_sort/ | #G #L1 #K1 #V1 #i #l #HLK1 #_ #IHV1 #L2 #s #d #e #HL21 #X #H elim (lift_inv_lref1 … 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 da_ldef/ - | lapply (ldrop_trans_ge … HL21 … HLK1 ?) -L1 - /3 width=8 by da_ldef, ldrop_inv_gen/ + | lapply (drop_trans_ge … HL21 … HLK1 ?) -L1 + /3 width=8 by da_ldef, drop_inv_gen/ ] | #G #L1 #K1 #W1 #i #l #HLK1 #_ #IHW1 #L2 #s #d #e #HL21 #X #H elim (lift_inv_lref1 … 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 #W2 #HK21 #HW12 #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 #W2 #HK21 #HW12 #H destruct /3 width=8 by da_ldec/ - | lapply (ldrop_trans_ge … HL21 … HLK1 ?) -L1 - /3 width=8 by da_ldec, ldrop_inv_gen/ + | lapply (drop_trans_ge … HL21 … HLK1 ?) -L1 + /3 width=8 by da_ldec, drop_inv_gen/ ] | #a #I #G #L1 #V1 #T1 #l #_ #IHT1 #L2 #s #d #e #HL21 #X #H elim (lift_inv_bind1 … H) -H #V2 #T2 #HV12 #HU12 #H destruct - /4 width=5 by da_bind, ldrop_skip/ + /4 width=5 by da_bind, drop_skip/ | #I #G #L1 #V1 #T1 #l #_ #IHT1 #L2 #s #d #e #HL21 #X #H elim (lift_inv_flat1 … H) -H #V2 #T2 #HV12 #HU12 #H destruct /3 width=5 by da_flat/ @@ -60,17 +60,17 @@ lemma da_inv_lift: ∀h,g,G,L2,T2,l. ⦃G, L2⦄ ⊢ T2 ▪[h, g] l → >(lift_inv_sort2 … H) -X /2 width=1 by da_sort/ | #G #L2 #K2 #V2 #i #l #HLK2 #HV2 #IHV2 #L1 #s #d #e #HL21 #X #H elim (lift_inv_lref2 … H) * #Hid #H destruct [ -HV2 | -IHV2 ] - [ elim (ldrop_conf_lt … HL21 … HLK2) -L2 /3 width=8 by da_ldef/ - | lapply (ldrop_conf_ge … HL21 … HLK2 ?) -L2 /2 width=4 by da_ldef/ + [ elim (drop_conf_lt … HL21 … HLK2) -L2 /3 width=8 by da_ldef/ + | lapply (drop_conf_ge … HL21 … HLK2 ?) -L2 /2 width=4 by da_ldef/ ] | #G #L2 #K2 #W2 #i #l #HLK2 #HW2 #IHW2 #L1 #s #d #e #HL21 #X #H elim (lift_inv_lref2 … H) * #Hid #H destruct [ -HW2 | -IHW2 ] - [ elim (ldrop_conf_lt … HL21 … HLK2) -L2 /3 width=8 by da_ldec/ - | lapply (ldrop_conf_ge … HL21 … HLK2 ?) -L2 /2 width=4 by da_ldec/ + [ elim (drop_conf_lt … HL21 … HLK2) -L2 /3 width=8 by da_ldec/ + | lapply (drop_conf_ge … HL21 … HLK2 ?) -L2 /2 width=4 by da_ldec/ ] | #a #I #G #L2 #V2 #T2 #l #_ #IHT2 #L1 #s #d #e #HL21 #X #H elim (lift_inv_bind2 … H) -H #V1 #T1 #HV12 #HT12 #H destruct - /4 width=5 by da_bind, ldrop_skip/ + /4 width=5 by da_bind, drop_skip/ | #I #G #L2 #V2 #T2 #l #_ #IHT2 #L1 #s #d #e #HL21 #X #H elim (lift_inv_flat2 … H) -H #V1 #T1 #HV12 #HT12 #H destruct /3 width=5 by da_flat/