update in basic_2

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

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 1e33d469cb09e601d61b084752efbab576db3934..a1f65935581d5ee559bf3e36a8eb76f83ed03f8f 100644 (file)
--- 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
@@ -24,8 +24,8 @@ include "basic_2/rt_computation/csx_vector.ma".
 
 (* 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❫.
+      ∀T. 𝐒❪T❫ → ❪G,L❫ ⊢ ⬈𝐍[h] T →
+      ∀Vs. ❪G,L❫ ⊢ ⬈*𝐒[h] Vs → ❪G,L❫ ⊢ ⬈*𝐒[h] ⒶVs.T.
 #h #G #L #T #H1T #H2T #Vs elim Vs -Vs
 [ #_ normalize in ⊢ (????%); /2 width=1 by cnx_csx/
 | #V #Vs #IHV #H
@@ -41,5 +41,5 @@ qed.
 
 (* 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❫.
+      ∀s,Vs. ❪G,L❫ ⊢ ⬈*𝐒[h] Vs → ❪G,L❫ ⊢ ⬈*𝐒[h] ⒶVs.⋆s.
 /3 width=6 by csx_applv_cnx, cnx_sort, simple_atom/ qed.