+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||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/reducibility/lfpr_fpr.ma".
-include "basic_2/computation/fprs_fprs.ma".
-include "basic_2/computation/lfprs.ma".
-
-(* FOCALIZED PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS *********************)
-
-(* Inversion lemmas on context-free parallel reduction for closures *********)
-
-lemma lfprs_inv_fprs: ∀L1,L2. ⦃L1⦄ ➡* ⦃L2⦄ → ∀T. ⦃L1, T⦄ ➡* ⦃L2, T⦄.
-#L1 #L2 #H @(lfprs_ind … H) -L2 //
-#L #L2 #_ #HL2 #IHL1 #T
-lapply (lfpr_inv_fpr … HL2 T) -HL2 /3 width=4/
-qed-.
-
-(* Properties on context-free parallel computation for closures *************)
-
-lemma fprs_lfprs: ∀L1,L2,T1,T2. ⦃L1, T1⦄ ➡* ⦃L2, T2⦄ → ⦃L1⦄ ➡* ⦃L2⦄.
-#L1 #L2 #T1 #T2 #H @(fprs_ind … H) -L2 -T2 // /3 width=5/
-qed.
-
-lemma lfprs_fprs_trans: ∀L1,L,L2,T1,T2. ⦃L1⦄ ➡* ⦃L⦄ → ⦃L, T1⦄ ➡* ⦃L2, T2⦄ → ⦃L1, T1⦄ ➡* ⦃L2, T2⦄.
-#L1 #L #L2 #T1 #T2 #HL1 #HL2
-lapply (lfprs_inv_fprs … HL1 T1) -HL1 /2 width=4/
-qed.
-(*
-lamma lfprs_cprs_conf: ∀L1,L,L2,T1,T2. ⦃L1⦄ ➡* ⦃L2⦄ → L1 ⊢ T1 ➡* T2 → ⦃L1, T1⦄ ➡* ⦃L2, T2⦄.
-*)