+++ /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/syntax/lenv_length.ma".
-include "basic_2/relocation/sex.ma".
-
-(* GENERIC ENTRYWISE EXTENSION OF CONTEXT-SENSITIVE REALTIONS FOR TERMS *****)
-
-(* Forward lemmas with length for local environments ************************)
-
-lemma sex_fwd_length: ∀RN,RP,f,L1,L2. L1 ⪤[RN, RP, f] L2 → |L1| = |L2|.
-#RN #RP #f #L1 #L2 #H elim H -f -L1 -L2 //
-#f #I1 #I2 #L1 #L2 >length_bind >length_bind //
-qed-.
-
-(* Properties with length for local environments ****************************)
-
-lemma sex_length_cfull: ∀L1,L2. |L1| = |L2| → ∀f. L1 ⪤[cfull, cfull, f] L2.
-#L1 elim L1 -L1
-[ #Y2 #H >(length_inv_zero_sn … H) -Y2 //
-| #L1 #I1 #IH #Y2 #H #f
- elim (length_inv_succ_sn … H) -H #I2 #L2 #HL12 #H destruct
- elim (pn_split f) * #g #H destruct /3 width=1 by sex_next, sex_push/
-]
-qed.
-
-lemma sex_length_isid: ∀R,L1,L2. |L1| = |L2| →
- ∀f. 𝐈⦃f⦄ → L1 ⪤[R, cfull, f] L2.
-#R #L1 elim L1 -L1
-[ #Y2 #H >(length_inv_zero_sn … H) -Y2 //
-| #L1 #I1 #IH #Y2 #H #f #Hf
- elim (length_inv_succ_sn … H) -H #I2 #L2 #HL12 #H destruct
- elim (isid_inv_gen … Hf) -Hf #g #Hg #H destruct /3 width=1 by sex_push/
-]
-qed.