minor additions ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_new / llor / llor_drop.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_new/llor/llor_drop.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_new/llor/llor_drop.etc
deleted file mode 100644 (file)
index cbeab4a..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc_new/llor/llor_drop.etc
+++ /dev/null
@@ -1,45 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "basic_2/multiple/frees_lift.ma".
-include "basic_2/multiple/llor_alt.ma".
-
-(* POINTWISE UNION FOR LOCAL ENVIRONMENTS ***********************************)
-
-(* Advanced properties ******************************************************)
-
-lemma llor_skip: ∀L1,L2,U,l. |L1| = |L2| → yinj (|L1|) ≤ l → L1 ⋓[U, l] L2 ≡ L1.
-#L1 #L2 #U #l #HL12 #Hl @and3_intro // -HL12
-#I1 #I2 #I #K1 #K2 #K #W1 #W2 #W #i #HLK1 #_ #HLK -L2 -K2
-lapply (drop_mono … HLK … HLK1) -HLK #H destruct
-lapply (drop_fwd_length_lt2 … HLK1) -K1
-/5 width=3 by ylt_yle_trans, ylt_inj, or3_intro0, and3_intro/
-qed.
-
-(* Note: lemma 1400 concludes the "big tree" theorem *)
-lemma llor_total: ∀L1,L2,T,l. |L1| = |L2| → ∃L. L1 ⋓[T, l] L2 ≡ L.
-#L1 @(lenv_ind_alt … L1) -L1
-[ #L2 #T #l #H >(length_inv_zero_sn … H) -L2 /2 width=2 by ex_intro/
-| #I1 #L1 #V1 #IHL1 #Y #T #l >ltail_length #H
-  elim (length_inv_pos_sn_ltail … H) -H #I2 #L2 #V2 #HL12 #H destruct
-  elim (ylt_split l (|ⓑ{I1}V1.L1|))
-  [ elim (frees_dec (ⓑ{I1}V1.L1) T l (|L1|)) #HnU
-    elim (IHL1 L2 T l) // -IHL1 -HL12
-    [ #L #HL12 >ltail_length /4 width=2 by llor_tail_frees, ylt_fwd_succ2, ex_intro/ 
-    | /4 width=2 by llor_tail_cofrees, ex_intro/
-    ]
-  | -IHL1 /4 width=3 by llor_skip, plus_to_minus, ex_intro/
-  ]
-]
-qed-.