milestone update in ground_2 and basic_2A

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/llpr/llpr.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/llpr/llpr.etc
deleted file mode 100644 (file)
index e4c1a01..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/llpr/llpr.etc
+++ /dev/null
@@ -1,51 +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/notation/relations/lazypredsn_5.ma".
-include "basic_2/relocation/llpx_sn.ma".
-include "basic_2/reduction/cpr.ma".
-
-(* LAZY SN PARALLEL REDUCTION FOR LOCAL ENVIRONMENTS ************************)
-
-definition llpr: genv → relation4 ynat term lenv lenv ≝ λG. llpx_sn (cpr G).
-
-interpretation "lazy parallel reduction (local environment, sn variant)"
-   'LazyPRedSn G L1 L2 T d = (llpr G d T L1 L2).
-
-(* Basic inversion lemmas ***************************************************)
-
-lemma llpr_inv_flat: ∀I,G,L1,L2,V,T,d. ⦃G, L1⦄ ⊢ ➡[ⓕ{I}V.T, d] L2 →
-                     ⦃G, L1⦄ ⊢ ➡[V, d] L2 ∧ ⦃G, L1⦄ ⊢ ➡[T, d] L2.
-/2 width=2 by llpx_sn_inv_flat/ qed-.
-
-(* Basic forward lemmas *****************************************************)
-
-lemma llpr_fwd_length: ∀G,L1,L2,T,d. ⦃G, L1⦄ ⊢ ➡[T, d] L2 → |L1| = |L2|.
-/2 width=4 by llpx_sn_fwd_length/ qed-.
-
-(* Basic properties *********************************************************)
-
-lemma llpr_lref: ∀I,G,L1,L2,K1,K2,V1,V2,d,i. d ≤ yinj i →
-                 ⇩[i] L1 ≡ K1.ⓑ{I}V1 → ⇩[i] L2 ≡ K2.ⓑ{I}V2 →
-                 ⦃G, K1⦄ ⊢ ➡[V1, 0] K2 → ⦃G, K1⦄ ⊢ V1 ➡ V2 → ⦃G, L1⦄ ⊢ ➡[#i, d] L2.
-/2 width=9 by llpx_sn_lref/ qed.
-
-(* Note: lemma 250 *)
-lemma llpr_refl: ∀G,T,d. reflexive … (llpr G d T).
-/2 width=1 by llpx_sn_refl/ qed.
-
-(* Basic_1: removed theorems 5: wcpr0_gen_sort wcpr0_gen_head
-                                wcpr0_getl wcpr0_getl_back
-                                pr0_subst1_back
-*)