#h #g #G #L elim L /2 width=1 by lcosx_skip/
qed.
-lemma lcosx_ldrop_trans_lt: ∀h,g,G,L,d. G ⊢ ~⬊*[h, g, d] L →
- â\88\80I,K,V,i. â\87©[i] L ≡ K.ⓑ{I}V → i < d →
+lemma lcosx_drop_trans_lt: ∀h,g,G,L,d. G ⊢ ~⬊*[h, g, d] L →
+ â\88\80I,K,V,i. â¬\87[i] L ≡ K.ⓑ{I}V → i < d →
G ⊢ ~⬊*[h, g, ⫰(d-i)] K ∧ G ⊢ ⬊*[h, g, V, ⫰(d-i)] K.
#h #g #G #L #d #H elim H -L -d
-[ #d #J #K #V #i #H elim (ldrop_inv_atom1 … H) -H #H destruct
+[ #d #J #K #V #i #H elim (drop_inv_atom1 … H) -H #H destruct
| #I #L #T #_ #_ #J #K #V #i #_ #H elim (ylt_yle_false … H) -H //
| #I #L #T #d #HT #HL #IHL #J #K #V #i #H #Hid
- elim (ldrop_inv_O1_pair1 … H) -H * #Hi #HLK destruct
+ elim (drop_inv_O1_pair1 … H) -H * #Hi #HLK destruct
[ >ypred_succ /2 width=1 by conj/
| lapply (ylt_pred … Hid ?) -Hid /2 width=1 by ylt_inj/ >ypred_succ #Hid
elim (IHL … HLK ?) -IHL -HLK <yminus_inj >yminus_SO2 //