+++ /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/computation/lsubc_ldrop.ma".
-
-(* LOCAL ENVIRONMENT REFINEMENT FOR ABSTRACT CANDIDATES OF REDUCIBILITY *****)
-
-(* Properties concerning generic local environment slicing ******************)
-
-(* Basic_1: was: csubc_drop1_conf_rev *)
-lemma ldrops_lsubc_trans: ∀RR,RS,RP.
- acp RR RS RP → acr RR RS RP (λL,T. RP L T) →
- ∀L1,K1,des. ⇩*[des] L1 ≡ K1 → ∀K2. K1 ⊑[RP] K2 →
- ∃∃L2. L1 ⊑[RP] L2 & ⇩*[des] L2 ≡ K2.
-#RR #RS #RP #Hacp #Hacr #L1 #K1 #des #H elim H -L1 -K1 -des
-[ /2 width=3/
-| #L1 #L #K1 #des #d #e #_ #HLK1 #IHL #K2 #HK12
- elim (ldrop_lsubc_trans … Hacp Hacr … HLK1 … HK12) -Hacp -Hacr -K1 #K #HLK #HK2
- elim (IHL … HLK) -IHL -HLK /3 width=5/
-]
-qed-.