+++ /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/unfold/ltpss_sn_ltpss_sn.ma".
-include "basic_2/reducibility/ltpr_ldrop.ma".
-include "basic_2/reducibility/cpr.ma".
-include "basic_2/reducibility/lfpr.ma".
-
-(* FOCALIZED PARALLEL REDUCTION FOR LOCAL ENVIRONMENTS **********************)
-
-(* Advanced properties ******************************************************)
-
-lemma lfpr_pair_cpr: ∀L1,L2. ⦃L1⦄ ➡ ⦃L2⦄ → ∀V1,V2. L2 ⊢ V1 ➡ V2 →
- ∀I. ⦃L1. ⓑ{I} V1⦄ ➡ ⦃L2. ⓑ{I} V2⦄.
-#L1 #L2 * #L #HL1 #HL2 #V1 #V2 *
-<(ltpss_sn_fwd_length … HL2) #V #HV1 #HV2 #I
-lapply (ltpss_sn_tpss_trans_eq … HV2 … HL2) -HV2 #V2
-@(ex2_intro … (L.ⓑ{I}V)) /2 width=1/ (**) (* explicit constructor *)
-qed.
-
-(* Properties on supclosure *************************************************)
-(*
-lamma fsub_cpr_trans: ∀L1,L2,T1,T2. ⦃L1, T1⦄ ⊃ ⦃L2, T2⦄ → ∀U2. L2 ⊢ T2 ➡ U2 →
- ∃∃L,U1. ⦃L1⦄ ➡ ⦃L⦄ & L ⊢ T1 ➡ U1 & ⦃L, U1⦄ ⊃ ⦃L2, U2⦄.
-#L1 #L2 #T1 #T2 #HT12 #U2 * #T #H1 #H2
-elim (fsub_tpr_trans … HT12 … H1) -T2 #L #U #HL1 #HT1U #HUT
-elim (fsup_tpss_trans_full … HUT … H2) -T -HUT -H2 #L #U #HL1 #HT1U #HUT
-
-
-
-
-
-
- #H elim H -L1 -L2 -T1 -T2 [1,2,3,4,5: /3 width=5/ ]
-#L1 #K1 #K2 #T1 #T2 #U1 #d #e #HLK1 #HTU1 #_ #IHT12 #U2 #HTU2
-elim (IHT12 … HTU2) -IHT12 -HTU2 #K #T #HK1 #HT1 #HK2
-elim (lift_total T d e) #U #HTU
-elim (ldrop_ltpr_trans … HLK1 … HK1) -HLK1 -HK1 #L #HL1 #HLK
-lapply (tpr_lift … HT1 … HTU1 … HTU) -HT1 -HTU1 /3 width=11/
-qed-.
-*)
\ No newline at end of file