renaming in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / relocation / drops_lex.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lex.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lex.ma
index b1c4f4d91eb867f6f96eaf1290a4b29ab7469c06..793ed18105ded75646b63e3a24006cb0b9368efb 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lex.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lex.ma
@@ -14,7 +14,7 @@
 
 include "basic_2/relocation/lex.ma".
 include "basic_2/relocation/drops_cext2.ma".
-include "basic_2/relocation/drops_lexs.ma".
+include "basic_2/relocation/drops_sex.ma".
 
 (* GENERIC SLICING FOR LOCAL ENVIRONMENTS ***********************************)
 
@@ -36,7 +36,7 @@ definition dropable_dx: predicate … ≝
 lemma lex_liftable_dedropable_sn (R): c_reflexive … R →
                                       d_liftable2_sn … lifts R → dedropable_sn R.
 #R #H1R #H2R #b #f #L1 #K1 #HLK1 #K2 * #f1 #Hf1 #HK12
-elim (lexs_liftable_co_dedropable_sn … HLK1 … HK12) -K1
+elim (sex_liftable_co_dedropable_sn … HLK1 … HK12) -K1
 /3 width=6 by cext2_d_liftable2_sn, cfull_lift_sn, ext2_refl, coafter_isid_dx, ex3_intro, ex2_intro/
 qed-.
 
@@ -45,14 +45,14 @@ qed-.
 (* Basic_2A1: was: lpx_sn_deliftable_dropable *)
 lemma lex_dropable_sn (R): dropable_sn R.
 #R #b #f #L1 #K1 #HLK1 #H1f #L2 * #f2 #Hf2 #HL12
-elim (lexs_co_dropable_sn … HLK1 … HL12) -L1
+elim (sex_co_dropable_sn … HLK1 … HL12) -L1
 /3 width=3 by coafter_isid_dx, ex2_intro/
 qed-.
 
 (* Basic_2A1: was: lpx_sn_dropable *)
 lemma lex_dropable_dx (R): dropable_dx R.
 #R #L1 #L2 * #f2 #Hf2 #HL12 #b #f #K2 #HLK2 #Hf
-elim (lexs_co_dropable_dx … HL12 … HLK2) -L2
+elim (sex_co_dropable_dx … HL12 … HLK2) -L2
 /3 width=5 by coafter_isid_dx, ex2_intro/
 qed-.
 
@@ -61,7 +61,7 @@ lemma lex_drops_conf_pair (R): ∀L1,L2. L1 ⪤[R] L2 →
                                ∀b,f,I,K1,V1. ⬇*[b, f] L1 ≘ K1.ⓑ{I}V1 → 𝐔⦃f⦄ →
                                ∃∃K2,V2. ⬇*[b, f] L2 ≘ K2.ⓑ{I}V2 & K1 ⪤[R] K2 & R K1 V1 V2.
 #R #L1 #L2 * #f2 #Hf2 #HL12 #b #f #I #K1 #V1 #HLK1 #Hf
-elim (lexs_drops_conf_push … HL12 … HLK1 Hf f2) -L1 -Hf
+elim (sex_drops_conf_push … HL12 … HLK1 Hf f2) -L1 -Hf
 [ #Z2 #K2 #HLK2 #HK12 #H
   elim (ext2_inv_pair_sn … H) -H #V2 #HV12 #H destruct
   /3 width=5 by ex3_2_intro, ex2_intro/
@@ -74,7 +74,7 @@ lemma lex_drops_trans_pair (R): ∀L1,L2. L1 ⪤[R] L2 →
                                 ∀b,f,I,K2,V2. ⬇*[b, f] L2 ≘ K2.ⓑ{I}V2 → 𝐔⦃f⦄ →
                                 ∃∃K1,V1. ⬇*[b, f] L1 ≘ K1.ⓑ{I}V1 & K1 ⪤[R] K2 & R K1 V1 V2.
 #R #L1 #L2 * #f2 #Hf2 #HL12 #b #f #I #K2 #V2 #HLK2 #Hf
-elim (lexs_drops_trans_push … HL12 … HLK2 Hf f2) -L2 -Hf
+elim (sex_drops_trans_push … HL12 … HLK2 Hf f2) -L2 -Hf
 [ #Z1 #K1 #HLK1 #HK12 #H
   elim (ext2_inv_pair_dx … H) -H #V1 #HV12 #H destruct
   /3 width=5 by ex3_2_intro, ex2_intro/