X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Fcomputation%2Fcsn_cpr.ma;h=ccfd6015bbedd745e98d8fff322915435589b64d;hb=a2144f09d1bd7022c1f2dfd4909a1fb9772c8d56;hp=11647e9dc78c60d7d059888db12ae0699341838b;hpb=eb918fc784eacd2094e3986ba321ef47690d9983;p=helm.git

diff --git a/matita/matita/contribs/lambda_delta/basic_2/computation/csn_cpr.ma b/matita/matita/contribs/lambda_delta/basic_2/computation/csn_cpr.ma
index 11647e9dc..ccfd6015b 100644
--- a/matita/matita/contribs/lambda_delta/basic_2/computation/csn_cpr.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/computation/csn_cpr.ma
@@ -12,30 +12,30 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "Basic_2/reducibility/cpr_cpr.ma".
-include "Basic_2/computation/csn.ma".
+include "basic_2/reducibility/cpr_cpr.ma".
+include "basic_2/computation/csn.ma".
 
 (* CONTEXT-SENSITIVE STRONGLY NORMALIZING TERMS *****************************)
 
 (* Advanced forvard lemmas **************************************************)
 
-fact csn_fwd_pair_sn_aux: ∀L,U. L ⊢ ⬇* U → ∀I,V,T. U = ②{I} V. T → L ⊢ ⬇* V.
+fact csn_fwd_pair_sn_aux: ∀L,U. L ⊢ ⬊* U → ∀I,V,T. U = ②{I} V. T → L ⊢ ⬊* V.
 #L #U #H elim H -H #U0 #_ #IH #I #V #T #H destruct
 @csn_intro #V2 #HLV2 #HV2
 @(IH (②{I} V2. T)) -IH // /2 width=1/ -HLV2 #H destruct /2 width=1/
 qed.
 
 (* Basic_1: was: sn3_gen_head *)
-lemma csn_fwd_pair_sn: ∀I,L,V,T. L ⊢ ⬇* ②{I} V. T → L ⊢ ⬇* V.
+lemma csn_fwd_pair_sn: ∀I,L,V,T. L ⊢ ⬊* ②{I} V. T → L ⊢ ⬊* V.
 /2 width=5/ qed.
 
-fact csn_fwd_bind_dx_aux: ∀L,U. L ⊢ ⬇* U →
-                          ∀I,V,T. U = ⓑ{I} V. T → L. ⓑ{I} V ⊢ ⬇* T.
-#L #U #H elim H -H #U0 #_ #IH #I #V #T #H destruct
+fact csn_fwd_bind_dx_aux: ∀L,U. L ⊢ ⬊* U →
+                          ∀a,I,V,T. U = ⓑ{a,I} V. T → L. ⓑ{I} V ⊢ ⬊* T.
+#L #U #H elim H -H #U0 #_ #IH #a #I #V #T #H destruct
 @csn_intro #T2 #HLT2 #HT2
-@(IH (ⓑ{I} V. T2)) -IH // /2 width=1/ -HLT2 #H destruct /2 width=1/
+@(IH (ⓑ{a,I} V. T2)) -IH // /2 width=1/ -HLT2 #H destruct /2 width=1/
 qed.
 
 (* Basic_1: was: sn3_gen_bind *)
-lemma csn_fwd_bind_dx: ∀I,L,V,T. L ⊢ ⬇* ⓑ{I} V. T → L. ⓑ{I} V ⊢ ⬇* T.
-/2 width=3/ qed.
+lemma csn_fwd_bind_dx: ∀a,I,L,V,T. L ⊢ ⬊* ⓑ{a,I} V. T → L. ⓑ{I} V ⊢ ⬊* T.
+/2 width=4/ qed.