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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_new/llor/llor.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_new/llor/llor.etc
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--- a/matita/matita/contribs/lambdadelta/basic_2/etc_new/llor/llor.etc
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/notation/relations/lazyor_5.ma".
-include "basic_2/multiple/frees.ma".
-
-(* POINTWISE UNION FOR LOCAL ENVIRONMENTS ***********************************)
-
-definition llor: ynat → relation4 term lenv lenv lenv ≝ λl,T,L2,L1,L.
-                 ∧∧ |L1| = |L2| & |L1| = |L|
-                  & (∀I1,I2,I,K1,K2,K,V1,V2,V,i.
-                       ⬇[i] L1 ≡ K1.ⓑ{I1}V1 → ⬇[i] L2 ≡ K2.ⓑ{I2}V2 → ⬇[i] L ≡ K.ⓑ{I}V → ∨∨
-                       (∧∧ yinj i < l & I1 = I & V1 = V) |
-                       (∧∧ (L1 ⊢ i ϵ 𝐅*[l]⦃T⦄ → ⊥) & I1 = I & V1 = V) |
-                       (∧∧ l ≤ yinj i & L1 ⊢ i ϵ 𝐅*[l]⦃T⦄ & I2 = I & V2 = V)
-                    ).
-
-interpretation
-   "lazy union (local environment)"
-   'LazyOr L1 T l L2 L = (llor l T L2 L1 L).
-
-(* Basic properties *********************************************************)
-
-(* Note: this can be proved by llor_skip *)
-lemma llor_atom: ∀T,l. ⋆ ⋓[T, l] ⋆ ≡ ⋆.
-#T #l @and3_intro //
-#I1 #I2 #I #K1 #K2 #K #V1 #V2 #V #i #HLK1
-elim (drop_inv_atom1 … HLK1) -HLK1 #H destruct
-qed.