X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx.ma;h=49f22191178bc1d6d2418a4ed8f5e1889c707ffe;hb=6167cca50de37eba76a062537b24f7caef5b34f2;hp=5fe697558fe25e50007c60c00ae0e13ddf427f1c;hpb=e2b4ff64df523b4be9d7dc4e92386945846426e7;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx.ma
index 5fe697558..49f221911 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx.ma
@@ -29,7 +29,7 @@ interpretation
 
 lemma csx_ind: ∀h,o,G,L. ∀R:predicate term.
                (∀T1. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T1⦄ →
-                     (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) →
+                     (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≛[h, o] T2 → ⊥) → R T2) →
                      R T1
                ) →
                ∀T. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → R T.
@@ -41,23 +41,10 @@ qed-.
 
 (* Basic_1: was just: sn3_pr2_intro *)
 lemma csx_intro: ∀h,o,G,L,T1.
-                 (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≡[h, o] T2 → ⊥) → ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T2⦄) →
+                 (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≛[h, o] T2 → ⊥) → ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T2⦄) →
                  ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T1⦄.
 /4 width=1 by SN_intro/ qed.
 
-lemma csx_sort: ∀h,o,G,L,s. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃⋆s⦄.
-#h #o #G #L #s elim (deg_total h o s)
-#d generalize in match s; -s elim d -d
-[ #s1 #Hs1 @csx_intro #X #H #HX elim HX -HX
-  elim (cpx_inv_sort1 … H) -H #H destruct //
-  /3 width=3 by tdeq_sort, deg_next/
-| #d #IH #s #Hsd lapply (deg_next_SO … Hsd) -Hsd
-  #Hsd @csx_intro #X #H #HX
-  elim (cpx_inv_sort1 … H) -H #H destruct /2 width=1 by/
-  elim HX //
-]
-qed.
-
 (* Basic forward lemmas *****************************************************)
 
 fact csx_fwd_pair_sn_aux: ∀h,o,G,L,U. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃U⦄ →