]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/computation/cpre.ma
- big-tree reduction is now based on extended reduction
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / cpre.ma
index aeb5c60462edc022e6661c0513df5d3315e55d00..61dadbcde18b780956d815281057b3193e28f379 100644 (file)
@@ -14,7 +14,7 @@
 
 include "basic_2/notation/relations/peval_4.ma".
 include "basic_2/computation/cprs.ma".
-include "basic_2/computation/csn.ma".
+include "basic_2/computation/csx.ma".
 
 (* CONTEXT-SENSITIVE PARALLEL EVALUATION ON TERMS **************************)
 
@@ -27,8 +27,8 @@ interpretation "context-sensitive parallel evaluation (term)"
 (* Basic_properties *********************************************************)
 
 (* Basic_1: was just: nf2_sn3 *)
-lemma csn_cpre: ∀h,g,G,L,T1. ⦃G, L⦄ ⊢ ⬊*[h, g] T1 → ∃T2. ⦃G, L⦄ ⊢ T1 ➡* 𝐍⦃T2⦄.
-#h #g #G #L #T1 #H @(csn_ind … H) -T1
+lemma csx_cpre: ∀h,g,G,L,T1. ⦃G, L⦄ ⊢ ⬊*[h, g] T1 → ∃T2. ⦃G, L⦄ ⊢ T1 ➡* 𝐍⦃T2⦄.
+#h #g #G #L #T1 #H @(csx_ind … H) -T1
 #T1 #_ #IHT1
 elim (cnr_dec G L T1) /3 width=3/
 * #T #H1T1 #H2T1