update in ground_2 and basic_2 ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / csx_tstc_vector.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/csx_tstc_vector.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/csx_tstc_vector.ma
index 55099d3253c54be1b9354ce3b346b856d0c3d9ca..5ce3e142a749a8049236803db81eebdda996e176 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/csx_tstc_vector.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/csx_tstc_vector.ma
@@ -22,7 +22,7 @@ include "basic_2/computation/csx_vector.ma".
 (* Advanced properties ******************************************************)
 
 (* Basic_1: was just: sn3_appls_lref *)
-lemma csx_applv_cnx: ∀h,g,G,L,T. 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ 𝐍[h, g]⦃T⦄ →
+lemma csx_applv_cnx: ∀h,g,G,L,T. 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ ➡[h, g] 𝐍⦃T⦄ →
                      ∀Vs. ⦃G, L⦄ ⊢ ⬊*[h, g] Vs → ⦃G, L⦄ ⊢ ⬊*[h, g] ⒶVs.T.
 #h #g #G #L #T #H1T #H2T #Vs elim Vs -Vs [ #_ @(cnx_csx … H2T) ] (**) (* /2 width=1/ does not work *)
 #V #Vs #IHV #H
@@ -35,7 +35,7 @@ qed.
 
 lemma csx_applv_sort: ∀h,g,G,L,k,Vs. ⦃G, L⦄ ⊢ ⬊*[h, g] Vs → ⦃G, L⦄ ⊢ ⬊*[h, g] ⒶVs.⋆k.
 #h #g #G #L #k elim (deg_total h g k)
-#l generalize in match k; -k @(nat_ind_plus … l) -l [ /3 width=1 by csx_applv_cnx, cnx_sort, simple_atom/ ]
+#l generalize in match k; -k @(nat_ind_plus … l) -l [ /3 width=6 by csx_applv_cnx, cnx_sort, simple_atom/ ]
 #l #IHl #k #Hkl lapply (deg_next_SO … Hkl) -Hkl
 #Hkl #Vs elim Vs -Vs /2 width=1 by/
 #V #Vs #IHVs #HVVs
@@ -118,12 +118,12 @@ qed.
 
 theorem csx_acr: ∀h,g. acr (cpx h g) (eq …) (csx h g) (λG,L,T. ⦃G, L⦄ ⊢ ⬊*[h, g] T).
 #h #g @mk_acr //
-[ /3 width=1 by csx_applv_cnx/
-|2,3,6: /2 width=1 by csx_applv_beta, csx_applv_sort, csx_applv_cast/
+[ /2 width=8 by csx_lift/
+| /3 width=1 by csx_applv_cnx/
+|3,4,7: /2 width=1 by csx_applv_beta, csx_applv_sort, csx_applv_cast/
 | /2 width=7 by csx_applv_delta/
 | #G #L #V1s #V2s #HV12s #a #V #T #H #HV
   @(csx_applv_theta … HV12s) -HV12s
   @csx_abbr //
-| /2 width=8 by csx_lift/
 ]
 qed.