- we introduced the pointer_step rc in the perspective of proving

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / computation / csn_alt.ma

diff --git a/matita/matita/contribs/lambda_delta/basic_2/computation/csn_alt.ma b/matita/matita/contribs/lambda_delta/basic_2/computation/csn_alt.ma
index 980b4b7002b71eb2fc878321b86d385476194dd0..eeba707dcacac19081e94c6ed0c58c2183a7bdce 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/computation/csn_alt.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/computation/csn_alt.ma
@@ -27,10 +27,10 @@ interpretation
 (* Basic eliminators ********************************************************)
 
 lemma csna_ind: ∀L. ∀R:predicate term.
-                (â\88\80T1. L â\8a¢ â¬\87â¬\87* T1 →
+                (â\88\80T1. L â\8a¢ â¬\8aâ¬\8a* T1 →
                       (∀T2. L ⊢ T1 ➡* T2 → (T1 = T2 → ⊥) → R T2) → R T1
                 ) →
-                â\88\80T. L â\8a¢ â¬\87â¬\87* T → R T.
+                â\88\80T. L â\8a¢ â¬\8aâ¬\8a* T → R T.
 #L #R #H0 #T1 #H elim H -T1 #T1 #HT1 #IHT1
 @H0 -H0 /3 width=1/ -IHT1 /4 width=1/
 qed-.
@@ -39,15 +39,15 @@ qed-.
 
 (* Basic_1: was: sn3_intro *)
 lemma csna_intro: ∀L,T1.
-                  (â\88\80T2. L â\8a¢ T1 â\9e¡* T2 â\86\92 (T1 = T2 â\86\92 â\8a¥) â\86\92 L â\8a¢ â¬\87â¬\87* T2) â\86\92 L â\8a¢ â¬\87â¬\87* T1.
+                  (â\88\80T2. L â\8a¢ T1 â\9e¡* T2 â\86\92 (T1 = T2 â\86\92 â\8a¥) â\86\92 L â\8a¢ â¬\8aâ¬\8a* T2) â\86\92 L â\8a¢ â¬\8aâ¬\8a* T1.
 /4 width=1/ qed.
 
 fact csna_intro_aux: ∀L,T1.
-                     (â\88\80T,T2. L â\8a¢ T â\9e¡* T2 â\86\92 T1 = T â\86\92 (T1 = T2 â\86\92 â\8a¥) â\86\92 L â\8a¢ â¬\87â¬\87* T2) â\86\92 L â\8a¢ â¬\87â¬\87* T1.
+                     (â\88\80T,T2. L â\8a¢ T â\9e¡* T2 â\86\92 T1 = T â\86\92 (T1 = T2 â\86\92 â\8a¥) â\86\92 L â\8a¢ â¬\8aâ¬\8a* T2) â\86\92 L â\8a¢ â¬\8aâ¬\8a* T1.
 /4 width=3/ qed-.
 
 (* Basic_1: was: sn3_pr3_trans (old version) *)
-lemma csna_cprs_trans: â\88\80L,T1. L â\8a¢ â¬\87â¬\87* T1 â\86\92 â\88\80T2. L â\8a¢ T1 â\9e¡* T2 â\86\92 L â\8a¢ â¬\87â¬\87* T2.
+lemma csna_cprs_trans: â\88\80L,T1. L â\8a¢ â¬\8aâ¬\8a* T1 â\86\92 â\88\80T2. L â\8a¢ T1 â\9e¡* T2 â\86\92 L â\8a¢ â¬\8aâ¬\8a* T2.
 #L #T1 #H elim H -T1 #T1 #HT1 #IHT1 #T2 #HLT12
 @csna_intro #T #HLT2 #HT2
 elim (term_eq_dec T1 T2) #HT12
@@ -57,8 +57,8 @@ qed.
 
 (* Basic_1: was: sn3_pr2_intro (old version) *)
 lemma csna_intro_cpr: ∀L,T1.
-                      (â\88\80T2. L â\8a¢ T1 â\9e¡ T2 â\86\92 (T1 = T2 â\86\92 â\8a¥) â\86\92 L â\8a¢ â¬\87â¬\87* T2) →
-                      L â\8a¢ â¬\87â¬\87* T1.
+                      (â\88\80T2. L â\8a¢ T1 â\9e¡ T2 â\86\92 (T1 = T2 â\86\92 â\8a¥) â\86\92 L â\8a¢ â¬\8aâ¬\8a* T2) →
+                      L â\8a¢ â¬\8aâ¬\8a* T1.
 #L #T1 #H
 @csna_intro_aux #T #T2 #H @(cprs_ind_dx … H) -T
 [ -H #H destruct #H
@@ -73,25 +73,25 @@ qed.
 
 (* Main properties **********************************************************)
 
-theorem csn_csna: â\88\80L,T. L â\8a¢ â¬\87* T â\86\92 L â\8a¢ â¬\87â¬\87* T.
+theorem csn_csna: â\88\80L,T. L â\8a¢ â¬\8a* T â\86\92 L â\8a¢ â¬\8aâ¬\8a* T.
 #L #T #H @(csn_ind … H) -T /4 width=1/
 qed.
 
-theorem csna_csn: â\88\80L,T. L â\8a¢ â¬\87â¬\87* T â\86\92 L â\8a¢ â¬\87* T.
+theorem csna_csn: â\88\80L,T. L â\8a¢ â¬\8aâ¬\8a* T â\86\92 L â\8a¢ â¬\8a* T.
 #L #T #H @(csna_ind … H) -T /4 width=1/
 qed.
 
 (* Basic_1: was: sn3_pr3_trans *)
-lemma csn_cprs_trans: â\88\80L,T1. L â\8a¢ â¬\87* T1 â\86\92 â\88\80T2. L â\8a¢ T1 â\9e¡* T2 â\86\92 L â\8a¢ â¬\87* T2.
+lemma csn_cprs_trans: â\88\80L,T1. L â\8a¢ â¬\8a* T1 â\86\92 â\88\80T2. L â\8a¢ T1 â\9e¡* T2 â\86\92 L â\8a¢ â¬\8a* T2.
 /4 width=3/ qed.
 
 (* Main eliminators *********************************************************)
 
 lemma csn_ind_alt: ∀L. ∀R:predicate term.
-                   (â\88\80T1. L â\8a¢ â¬\87* T1 →
+                   (â\88\80T1. L â\8a¢ â¬\8a* T1 →
                          (∀T2. L ⊢ T1 ➡* T2 → (T1 = T2 → ⊥) → R T2) → R T1
                    ) →
-                   â\88\80T. L â\8a¢ â¬\87* T → R T.
+                   â\88\80T. L â\8a¢ â¬\8a* T → R T.
 #L #R #H0 #T1 #H @(csna_ind … (csn_csna … H)) -T1 #T1 #HT1 #IHT1
 @H0 -H0 /2 width=1/ -HT1 /3 width=1/
 qed-.