- subject equivalence for atomic arity assignment completed!

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / static / aaa_ltps.ma

diff --git a/matita/matita/contribs/lambda_delta/basic_2/static/aaa_ltps.ma b/matita/matita/contribs/lambda_delta/basic_2/static/aaa_ltps.ma
deleted file mode 100644 (file)
index 162fa38..0000000
--- a/matita/matita/contribs/lambda_delta/basic_2/static/aaa_ltps.ma
+++ /dev/null
@@ -1,65 +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/substitution/ltps_ldrop.ma".
-include "basic_2/static/aaa_lift.ma".
-
-(* ATONIC ARITY ASSIGNMENT ON TERMS *****************************************)
-
-(* Properties about parallel substitution ***********************************)
-
-(* Note: lemma 500 *)
-lemma aaa_ltps_tps_conf: ∀L1,T1,A. L1 ⊢ T1 ÷ A → ∀L2,d,e. L1 [d, e] ▶ L2 →
-                         ∀T2. L2 ⊢ T1 [d, e] ▶ T2 → L2 ⊢ T2 ÷ A.
-#L1 #T1 #A #H elim H -L1 -T1 -A
-[ #L1 #k #L2 #d #e #_ #T2 #H
-  >(tps_inv_sort1 … H) -H //
-| #I #L1 #K1 #V1 #B #i #HLK1 #_ #IHV1 #L2 #d #e #HL12 #T2 #H
-  elim (tps_inv_lref1 … H) -H
-  [ #H destruct
-    elim (lt_or_ge i d) #Hdi
-    [ elim (ltps_ldrop_conf_le … HL12 … HLK1 ?) -L1 /2 width=2/ #X #H #HLK2
-      elim (ltps_inv_tps11 … H ?) -H /2 width=1/ -Hdi #K2 #V2 #HK12 #HV12 #H destruct
-      /3 width=8/
-    | elim (lt_or_ge i (d + e)) #Hide
-      [ elim (ltps_ldrop_conf_be … HL12 … HLK1 ? ?) -L1 // /2 width=2/ #X #H #HLK2
-        elim (ltps_inv_tps21 … H ?) -H /2 width=1/ -Hdi -Hide #K2 #V2 #HK12 #HV12 #H destruct
-        /3 width=8/
-      | -Hdi
-        lapply (ltps_ldrop_conf_ge … HL12 … HLK1 ?) -L1 // -Hide #HLK2
-        /3 width=8/
-      ]
-    ]
-  | * #K2 #V2 #Hdi #Hide #HLK2 #HVT2
-    elim (ltps_ldrop_conf_be … HL12 … HLK1 ? ?) -L1 // /2 width=2/ #X #H #HL2K0
-    elim (ltps_inv_tps21 … H ?) -H /2 width=1/ -Hdi -Hide #K0 #V0 #HK12 #HV12 #H destruct
-    lapply (ldrop_mono … HL2K0 … HLK2) -HL2K0 #H destruct
-    lapply (ldrop_fwd_ldrop2 … HLK2) -HLK2 /3 width=7/
-  ]
-| #L1 #V1 #T1 #B #A #_ #_ #IHV1 #IHT1 #L2 #d #e #HL12 #X #H
-  elim (tps_inv_bind1 … H) -H #V2 #T2 #HV12 #HT12 #H destruct /4 width=4/
-| #L1 #V1 #T1 #B #A #_ #_ #IHV1 #IHT1 #L2 #d #e #HL12 #X #H
-  elim (tps_inv_bind1 … H) -H #V2 #T2 #HV12 #HT12 #H destruct /4 width=4/
-| #L1 #V1 #T1 #B #A #_ #_ #IHV1 #IHT1 #L2 #d #e #HL12 #X #H
-  elim (tps_inv_flat1 … H) -H #V2 #T2 #HV12 #HT12 #H destruct /3 width=4/
-| #L1 #V1 #T1 #A #_ #_ #IHV1 #IHT1 #L2 #d #e #HL12 #X #H
-  elim (tps_inv_flat1 … H) -H #V2 #T2 #HV12 #HT12 #H destruct /3 width=4/
-]
-qed.
-
-lemma aaa_ltps_conf: ∀L1,T,A. L1 ⊢ T ÷ A → ∀L2,d,e. L1 [d, e] ▶ L2 → L2 ⊢ T ÷ A.
-/2 width=7/ qed.
-
-lemma aaa_tps_conf: ∀L,T1,A. L ⊢ T1 ÷ A → ∀T2,d,e. L ⊢ T1 [d, e] ▶ T2 → L ⊢ T2 ÷ A.
-/2 width=7/ qed.