milestone in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cnx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cnx.ma
index 24320b69feb4ff24d47962c69f4324ce1fdd2ed2..eaaaa9aa2927497355f20b8a0bf893da05de7489 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cnx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cnx.ma
@@ -20,18 +20,10 @@ include "basic_2/rt_computation/csx.ma".
 (* Properties with normal terms for unbound parallel rt-transition **********)
 
 (* Basic_1: was just: sn3_nf2 *)
-lemma cnx_csx: ∀h,o,G,L,T. ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃T⦄ → ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄.
+lemma cnx_csx: ∀h,G,L,T. ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃T⦄ → ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
 /2 width=1 by NF_to_SN/ qed.
 
 (* Advanced properties ******************************************************)
 
-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
-[ /3 width=3 by cnx_csx, cnx_sort/
-| #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 -HX //
-]
-qed.
+lemma csx_sort: ∀h,G,L,s. ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃⋆s⦄.
+/3 width=4 by cnx_csx, cnx_sort/ qed.