+++ /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/cpr_cpr.ma".
-include "Basic_2/computation/csn.ma".
-
-(* CONTEXT-SENSITIVE STRONGLY NORMALIZING TERMS *****************************)
-
-(* Advanced forvard lemmas **************************************************)
-
-fact csn_fwd_pair_sn_aux: ∀L,U. L ⊢ ⬇* U → ∀I,V,T. U = ②{I} V. T → L ⊢ ⬇* V.
-#L #U #H elim H -H #U0 #_ #IH #I #V #T #H destruct
-@csn_intro #V2 #HLV2 #HV2
-@(IH (②{I} V2. T)) -IH // /2 width=1/ -HLV2 #H destruct /2 width=1/
-qed.
-
-(* Basic_1: was: sn3_gen_head *)
-lemma csn_fwd_pair_sn: ∀I,L,V,T. L ⊢ ⬇* ②{I} V. T → L ⊢ ⬇* V.
-/2 width=5/ qed.
-
-fact csn_fwd_bind_dx_aux: ∀L,U. L ⊢ ⬇* U →
- ∀I,V,T. U = ⓑ{I} V. T → L. ⓑ{I} V ⊢ ⬇* T.
-#L #U #H elim H -H #U0 #_ #IH #I #V #T #H destruct
-@csn_intro #T2 #HLT2 #HT2
-@(IH (ⓑ{I} V. T2)) -IH // /2 width=1/ -HLT2 #H destruct /2 width=1/
-qed.
-
-(* Basic_1: was: sn3_gen_bind *)
-lemma csn_fwd_bind_dx: ∀I,L,V,T. L ⊢ ⬇* ⓑ{I} V. T → L. ⓑ{I} V ⊢ ⬇* T.
-/2 width=3/ qed.