X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_cnx_vector.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_cnx_vector.ma;h=6d75480ff3fded39131fabf5e1b61064d890c345;hb=0fea4ed429678c3293027cfe76fdbe15cfa331cb;hp=fbaee7c73c2f0ac70b50bb0e3057e902d4e472ef;hpb=bac74b5cff042d37e1abc9c961a6c41094b8a294;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cnx_vector.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cnx_vector.ma
index fbaee7c73..6d75480ff 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cnx_vector.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cnx_vector.ma
@@ -14,8 +14,8 @@
 
 (* STRONGLY NORMALIZING TERM VECTORS FOR UNBOUND PARALLEL RT-TRANSITION *****)
 
-include "basic_2/rt_computation/cpxs_theq_vector.ma".
-include "basic_2/rt_computation/csx_simple_theq.ma".
+include "basic_2/rt_computation/cpxs_toeq_vector.ma".
+include "basic_2/rt_computation/csx_simple_toeq.ma".
 include "basic_2/rt_computation/csx_cnx.ma".
 include "basic_2/rt_computation/csx_cpxs.ma".
 include "basic_2/rt_computation/csx_vector.ma".
@@ -23,13 +23,14 @@ include "basic_2/rt_computation/csx_vector.ma".
 (* Properties with normal terms for unbound parallel rt-transition **********)
 
 (* Basic_1: was just: sn3_appls_lref *)
-lemma csx_applv_cnx: ∀h,G,L,T. 𝐒⦃T⦄ → ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃T⦄ →
-                     ∀Vs. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃Vs⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⒶVs.T⦄.
+lemma csx_applv_cnx (h) (G) (L):
+      ∀T. 𝐒⦃T⦄ → ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃T⦄ →
+      ∀Vs. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃Vs⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⒶVs.T⦄.
 #h #G #L #T #H1T #H2T #Vs elim Vs -Vs
 [ #_ normalize in ⊢ (????%); /2 width=1 by cnx_csx/
 | #V #Vs #IHV #H
   elim (csxv_inv_cons … H) -H #HV #HVs
-  @csx_appl_simple_theq /2 width=1 by applv_simple/ -IHV -HV -HVs
+  @csx_appl_simple_toeq /2 width=1 by applv_simple/ -IHV -HV -HVs
   #X #H #H0
   lapply (cpxs_fwd_cnx_vector … H) -H // -H1T -H2T #H
   elim (H0) -H0 //
@@ -39,5 +40,6 @@ qed.
 (* Advanced properties ******************************************************)
 
 (* Note: strong normalization does not depend on this any more *)
-lemma csx_applv_sort: ∀h,G,L,s,Vs. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃Vs⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⒶVs.⋆s⦄.
+lemma csx_applv_sort (h) (G) (L):
+      ∀s,Vs. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃Vs⦄ → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃ⒶVs.⋆s⦄.
 /3 width=6 by csx_applv_cnx, cnx_sort, simple_atom/ qed.