X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Fcomputation%2Fcsn.ma;h=6b58893271fe1f020ff2061e402c68e1d8f56b1a;hb=fde3b3d2e6cc48f6c9880136b1a0d565e2c78c1f;hp=5552c6fb71d5a6dab2b526bc3e8c4a6b7e743776;hpb=bbac36729dab046d61019081c1523af06d876103;p=helm.git

diff --git a/matita/matita/contribs/lambda_delta/basic_2/computation/csn.ma b/matita/matita/contribs/lambda_delta/basic_2/computation/csn.ma
index 5552c6fb7..6b5889327 100644
--- a/matita/matita/contribs/lambda_delta/basic_2/computation/csn.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/computation/csn.ma
@@ -12,7 +12,6 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/reducibility/cpr.ma".
 include "basic_2/reducibility/cnf.ma".
 
 (* CONTEXT-SENSITIVE STRONGLY NORMALIZING TERMS *****************************)
@@ -27,7 +26,7 @@ interpretation
 
 lemma csn_ind: ∀L. ∀R:predicate term.
                (∀T1. L ⊢ ⬇* T1 →
-                     (∀T2. L ⊢ T1 ➡ T2 → (T1 = T2 → False) → R T2) →
+                     (∀T2. L ⊢ T1 ➡ T2 → (T1 = T2 → ⊥) → R T2) →
                      R T1
                ) →
                ∀T. L ⊢ ⬇* T → R T.
@@ -39,13 +38,11 @@ qed-.
 
 (* Basic_1: was: sn3_pr2_intro *)
 lemma csn_intro: ∀L,T1.
-                 (∀T2. L ⊢ T1 ➡ T2 → (T1 = T2 → False) → L ⊢ ⬇* T2) → L ⊢ ⬇* T1.
-#L #T1 #H
-@(SN_intro … H)
-qed.
+                 (∀T2. L ⊢ T1 ➡ T2 → (T1 = T2 → ⊥) → L ⊢ ⬇* T2) → L ⊢ ⬇* T1.
+/4 width=1/ qed.
 
 (* Basic_1: was: sn3_nf2 *)
-lemma csn_cnf: ∀L,T. L ⊢ 𝐍[T] → L ⊢ ⬇* T.
+lemma csn_cnf: ∀L,T. L ⊢ 𝐍⦃T⦄ → L ⊢ ⬇* T.
 /2 width=1/ qed.
 
 lemma csn_cpr_trans: ∀L,T1. L ⊢ ⬇* T1 → ∀T2. L ⊢ T1 ➡ T2 → L ⊢ ⬇* T2.
@@ -57,7 +54,7 @@ elim (term_eq_dec T1 T2) #HT12
 qed.
 
 (* Basic_1: was: sn3_cast *)
-lemma csn_cast: ∀L,W. L ⊢ ⬇* W → ∀T. L ⊢ ⬇* T → L ⊢ ⬇* ⓣW. T.
+lemma csn_cast: ∀L,W. L ⊢ ⬇* W → ∀T. L ⊢ ⬇* T → L ⊢ ⬇* ⓝW. T.
 #L #W #HW elim HW -W #W #_ #IHW #T #HT @(csn_ind … HT) -T #T #HT #IHT
 @csn_intro #X #H1 #H2
 elim (cpr_inv_cast1 … H1) -H1
@@ -82,8 +79,9 @@ qed.
 lemma csn_fwd_flat_dx: ∀I,L,V,T. L ⊢ ⬇* ⓕ{I} V. T → L ⊢ ⬇* T.
 /2 width=5/ qed-.
 
-(* Basic_1: removed theorems 9:
-            sn3_gen_cflat sn3_cflat
-	    sn3_appl_cast sn3_appl_beta sn3_appl_lref sn3_appl_abbr
-            sn3_bind sn3_appl_bind sn3_appls_bind
+(* Basic_1: removed theorems 14:
+            sn3_cdelta
+            sn3_gen_cflat sn3_cflat sn3_cpr3_trans sn3_shift sn3_change
+            sn3_appl_cast sn3_appl_beta sn3_appl_lref sn3_appl_abbr
+            sn3_appl_appls sn3_bind sn3_appl_bind sn3_appls_bind
 *)