milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / fsup / fsup.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/fsup/fsup.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/fsup/fsup.etc
deleted file mode 100644 (file)
index b3970be..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/fsup/fsup.etc
+++ /dev/null
@@ -1,73 +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/ldrop.ma".
-
-(* SUPCLOSURE ***************************************************************)
-
-(* Basic inversion lemmas ***************************************************)
-
-fact fsup_inv_atom1_aux: ∀L1,L2,T1,T2. ⦃L1, T1⦄ ⊃ ⦃L2, T2⦄ → ∀J. T1 = ⓪{J} →
-                         (∃∃I,K,V. L1 = K.ⓑ{I}V & J = LRef 0 & L2 = K & T2 = V) ∨
-                         ∃∃I,K,V,i. ⦃K, #i⦄ ⊃ ⦃L2, T2⦄ & L1 = K.ⓑ{I}V & J = LRef (i+1).
-#L1 #L2 #T1 #T2 * -L1 -L2 -T1 -T2
-[ #I #L #V #J #H destruct /3 width=6/
-| #I #L #K #V #T #i #HLK #J #H destruct /3 width=7/
-| #a #I #L #V #T #J #H destruct
-| #a #I #L #V #T #J #H destruct
-| #I #L #V #T #J #H destruct
-| #I #L #V #T #J #H destruct
-]
-qed-.
-
-lemma fsup_inv_atom1: ∀J,L1,L2,T2. ⦃L1, ⓪{J}⦄ ⊃ ⦃L2, T2⦄ →
-                      (∃∃I,K,V. L1 = K.ⓑ{I}V & J = LRef 0 & L2 = K & T2 = V) ∨
-                      ∃∃I,K,V,i. ⦃K, #i⦄ ⊃ ⦃L2, T2⦄ & L1 = K.ⓑ{I}V & J = LRef (i+1).
-/2 width=3 by fsup_inv_atom1_aux/ qed-.
-
-fact fsup_inv_bind1_aux: ∀L1,L2,T1,T2. ⦃L1, T1⦄ ⊃ ⦃L2, T2⦄ →
-                         ∀b,J,W,U. T1 = ⓑ{b,J}W.U →
-                         (L2 = L1 ∧ T2 = W) ∨
-                         (L2 = L1.ⓑ{J}W ∧ T2 = U).
-#L1 #L2 #T1 #T2 * -L1 -L2 -T1 -T2
-[ #I #L #V #b #J #W #U #H destruct
-| #I #L #K #V #T #i #_ #b #J #W #U #H destruct
-| #a #I #L #V #T #b #J #W #U #H destruct /3 width=1/
-| #a #I #L #V #T #b #J #W #U #H destruct /3 width=1/
-| #I #L #V #T #b #J #W #U #H destruct
-| #I #L #V #T #b #J #W #U #H destruct
-]
-qed-.
-
-lemma fsup_inv_bind1: ∀b,J,L1,L2,W,U,T2. ⦃L1, ⓑ{b,J}W.U⦄ ⊃ ⦃L2, T2⦄ →
-                      (L2 = L1 ∧ T2 = W) ∨
-                      (L2 = L1.ⓑ{J}W ∧ T2 = U).
-/2 width=4 by fsup_inv_bind1_aux/ qed-.
-
-fact fsup_inv_flat1_aux: ∀L1,L2,T1,T2. ⦃L1, T1⦄ ⊃ ⦃L2, T2⦄ →
-                         ∀J,W,U. T1 = ⓕ{J}W.U →
-                         L2 = L1 ∧ (T2 = W ∨ T2 = U).
-#L1 #L2 #T1 #T2 * -L1 -L2 -T1 -T2
-[ #I #L #K #J #W #U #H destruct
-| #I #L #K #V #T #i #_ #J #W #U #H destruct
-| #a #I #L #V #T #J #W #U #H destruct
-| #a #I #L #V #T #J #W #U #H destruct
-| #I #L #V #T #J #W #U #H destruct /3 width=1/
-| #I #L #V #T #J #W #U #H destruct /3 width=1/
-]
-qed-.
-
-lemma fsup_inv_flat1: ∀J,L1,L2,W,U,T2. ⦃L1, ⓕ{J}W.U⦄ ⊃ ⦃L2, T2⦄ →
-                      L2 = L1 ∧ (T2 = W ∨ T2 = U).
-/2 width=4 by fsup_inv_flat1_aux/ qed-.