- exclusion binder in local environments

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / lfsx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfsx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfsx.ma
index 2311f424c1a02f8890e84b7fa5aeb48728fb8011..14c939fac5121022b5d4693e760721fdf2ad70a2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfsx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfsx.ma
@@ -27,7 +27,7 @@ interpretation
 
 (* Basic eliminators ********************************************************)
 
-(* Basic_2A1: was: lsx_ind *)
+(* Basic_2A1: uses: lsx_ind *)
 lemma lfsx_ind: ∀h,o,G,T. ∀R:predicate lenv.
                 (∀L1. G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄ →
                       (∀L2. ⦃G, L1⦄ ⊢ ⬈[h, T] L2 → (L1 ≡[h, o, T] L2 → ⊥) → R L2) →
@@ -40,32 +40,33 @@ qed-.
 
 (* Basic properties *********************************************************)
 
-(* Basic_2A1: was: lsx_intro *)
+(* Basic_2A1: uses: lsx_intro *)
 lemma lfsx_intro: ∀h,o,G,L1,T.
                   (∀L2. ⦃G, L1⦄ ⊢ ⬈[h, T] L2 → (L1 ≡[h, o, T] L2 → ⊥) → G ⊢ ⬈*[h, o, T] 𝐒⦃L2⦄) →
                   G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄.
 /5 width=1 by lfdeq_sym, SN_intro/ qed.
 
-(* Basic_2A1: was: lsx_sort *)
+(* Basic_2A1: uses: lsx_sort *)
 lemma lfsx_sort: ∀h,o,G,L,s. G ⊢ ⬈*[h, o, ⋆s] 𝐒⦃L⦄.
 #h #o #G #L1 #s @lfsx_intro
 #L2 #H #Hs elim Hs -Hs elim (lfpx_inv_sort … H) -H *
 [ #H1 #H2 destruct //
-| #I #K1 #K2 #V1 #V2 #HK12 #H1 #H2 destruct
-  /4 width=4 by lfdeq_sort, lfxs_isid, frees_sort_gen, frees_inv_sort/
+| #I1 #I2 #K1 #K2 #HK12 #H1 #H2 destruct
+  /4 width=4 by lfdeq_sort, lfxs_isid, frees_sort, frees_inv_sort/
 ]
 qed.
 
-(* Basic_2A1: was: lsx_gref *)
+(* Basic_2A1: uses: lsx_gref *)
 lemma lfsx_gref: ∀h,o,G,L,p. G ⊢ ⬈*[h, o, §p] 𝐒⦃L⦄.
 #h #o #G #L1 #s @lfsx_intro
 #L2 #H #Hs elim Hs -Hs elim (lfpx_inv_gref … H) -H *
 [ #H1 #H2 destruct //
-| #I #K1 #K2 #V1 #V2 #HK12 #H1 #H2 destruct
-  /4 width=4 by lfdeq_gref, lfxs_isid, frees_gref_gen, frees_inv_gref/
+| #I1 #I2 #K1 #K2 #HK12 #H1 #H2 destruct
+  /4 width=4 by lfdeq_gref, lfxs_isid, frees_gref, frees_inv_gref/
 ]
 qed.
 
-(* Basic_2A1: removed theorems 2:
+(* Basic_2A1: removed theorems 9:
               lsx_ge_up lsx_ge
+              lsxa_ind lsxa_intro lsxa_lleq_trans lsxa_lpxs_trans lsxa_intro_lpx lsx_lsxa lsxa_inv_lsx
 *)