X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Flsuby.ma;h=123529e05f8ecd1d437e64ecbae2d9e14ab6764b;hb=928cfe1ebf2fbd31731c8851cdec70802596016d;hp=75cc5ce57ca7d7c8dd7501b6a355523845b06cb9;hpb=cfc43911db215e21036317b26bd1dcf9c3e5d435;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/lsuby.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/lsuby.ma index 75cc5ce57..123529e05 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/relocation/lsuby.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/lsuby.ma @@ -203,28 +203,28 @@ lemma lsuby_fwd_length: ∀L1,L2,d,e. L1 ⊑×[d, e] L2 → |L2| ≤ |L1|. qed-. lemma lsuby_fwd_ldrop2_be: ∀L1,L2,d,e. L1 ⊑×[d, e] L2 → - ∀I2,K2,W,i. ⇩[0, i] L2 ≡ K2.ⓑ{I2}W → + ∀I2,K2,W,s,i. ⇩[s, 0, i] L2 ≡ K2.ⓑ{I2}W → d ≤ i → i < d + e → - ∃∃I1,K1. K1 ⊑×[0, ⫰(d+e-i)] K2 & ⇩[0, i] L1 ≡ K1.ⓑ{I1}W. + ∃∃I1,K1. K1 ⊑×[0, ⫰(d+e-i)] K2 & ⇩[s, 0, i] L1 ≡ K1.ⓑ{I1}W. #L1 #L2 #d #e #H elim H -L1 -L2 -d -e -[ #L1 #d #e #J2 #K2 #W #i #H +[ #L1 #d #e #J2 #K2 #W #s #i #H elim (ldrop_inv_atom1 … H) -H #H destruct -| #I1 #I2 #L1 #L2 #V1 #V2 #_ #_ #J2 #K2 #W #i #_ #_ #H +| #I1 #I2 #L1 #L2 #V1 #V2 #_ #_ #J2 #K2 #W #s #i #_ #_ #H elim (ylt_yle_false … H) // -| #I1 #I2 #L1 #L2 #V #e #HL12 #IHL12 #J2 #K2 #W #i #H #_ >yplus_O1 +| #I1 #I2 #L1 #L2 #V #e #HL12 #IHL12 #J2 #K2 #W #s #i #H #_ >yplus_O1 elim (ldrop_inv_O1_pair1 … H) -H * #Hi #HLK1 [ -IHL12 | -HL12 ] [ #_ destruct -I2 >ypred_succ /2 width=4 by ldrop_pair, ex2_2_intro/ | lapply (ylt_inv_O1 i ?) /2 width=1 by ylt_inj/ #H yminus_succ yminus_succ yplus_succ1 #H lapply (ylt_inv_succ … H) -H - #Hide lapply (ldrop_inv_ldrop1_lt … HLK2 ?) -HLK2 /2 width=1 by ylt_O/ + #Hide lapply (ldrop_inv_drop1_lt … HLK2 ?) -HLK2 /2 width=1 by ylt_O/ #HLK1 elim (IHL12 … HLK1) -IHL12 -HLK1 yminus_SO2 - /4 width=4 by ylt_O, ldrop_ldrop_lt, ex2_2_intro/ + /4 width=4 by ylt_O, ldrop_drop_lt, ex2_2_intro/ ] qed-.