milestone update in ground_2 and basic_2A

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/fpr/cfpr.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/fpr/cfpr.etc
deleted file mode 100644 (file)
index f58a52c..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/fpr/cfpr.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                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-notation "hvbox( L ⊢ break ⦃ term 46 L1, break term 46 T1 ⦄ ➡ break ⦃ term 46 L2 , break term 46 T2 ⦄ )"
-   non associative with precedence 45
-   for @{ 'FocalizedPRed $L $L1 $T1 $L2 $T2 }.
-
-include "basic_2/reducibility/cpr.ma".
-include "basic_2/reducibility/fpr.ma".
-
-(* CONTEXT-SENSITIVE PARALLEL REDUCTION ON CLOSURES *************************)
-
-definition cfpr: lenv → bi_relation lenv term ≝
-                 λL,L1,T1,L2,T2. |L1| = |L2| ∧ L ⊢ L1 @@ T1 ➡ L2 @@ T2.
-
-interpretation
-   "context-sensitive parallel reduction (closure)"
-   'FocalizedPRed L L1 T1 L2 T2 = (cfpr L L1 T1 L2 T2).
-
-(* Basic properties *********************************************************)
-
-lemma cfpr_refl: ∀L. bi_reflexive … (cfpr L).
-/2 width=1/ qed.
-
-lemma fpr_cfpr: ∀L1,L2,T1,T2. ⦃L1, T1⦄ ➡ ⦃L2, T2⦄ → ⋆ ⊢ ⦃L1, T1⦄ ➡ ⦃L2, T2⦄.
-#L1 #L2 #T1 #T2 * /3 width=1/
-qed.
-
-(* Basic inversion lemmas ***************************************************)
-
-lemma cfpr_inv_atom1: ∀L,L2,T1,T2. L ⊢ ⦃⋆, T1⦄ ➡ ⦃L2, T2⦄ → L ⊢ T1 ➡ T2 ∧ L2 = ⋆.
-#L #L2 #T1 #T2 * #H >(length_inv_zero_sn … H) /2 width=1/
-qed-.
-
-(* Advanced inversion lemmas ************************************************)
-
-lemma fpr_inv_pair1_sn: ∀I,K1,L2,V1,T1,T2. ⦃⋆.ⓑ{I}V1@@K1, T1⦄ ➡ ⦃L2, T2⦄ →
-                        ∃∃K2,V2. V1 ➡ V2 &
-                                 ⋆.ⓑ{I}V2 ⊢ ⦃K1, T1⦄ ➡ ⦃K2, T2⦄  &
-                                 L2 = ⋆.ⓑ{I}V2@@K2.
-#I1 #K1 #L2 #V1 #T1 #T2 * >append_length #H
-elim (length_inv_pos_sn_append … H) -H #I2 #K2 #V2 #HK12 #H destruct
->shift_append_assoc >shift_append_assoc normalize in ⊢ (%→?); #H
-elim (tpr_inv_bind1 … H) -H *
-[ #V0 #T #T0 #HV10 #HT1 #HT0 #H destruct /5 width=5/
-| #T0 #_ #_ #H destruct
-]
-qed-.