milestone in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / syntax / tdeq_ext.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/syntax/tdeq_ext.ma b/matita/matita/contribs/lambdadelta/static_2/syntax/tdeq_ext.ma
index f13292089072cddf525a5372cac1d7b2abdd4764..09f7c5a7617f5a2988e5a798e6c4cd89509b34ef 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/syntax/tdeq_ext.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/syntax/tdeq_ext.ma
@@ -12,29 +12,29 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "static_2/notation/relations/stareq_5.ma".
+include "static_2/notation/relations/stareq_3.ma".
 include "static_2/syntax/cext2.ma".
 include "static_2/syntax/tdeq.ma".
 
-(* EXTENDED DEGREE-BASED EQUIVALENCE ****************************************)
+(* EXTENDED SORT-IRRELEVANT EQUIVALENCE *************************************)
 
-definition tdeq_ext: ∀h. sd h → relation bind ≝
-                     λh,o. ext2 (tdeq h o).
+definition tdeq_ext: relation bind ≝
+                     ext2 tdeq.
 
-definition cdeq: ∀h. sd h → relation3 lenv term term ≝
-                 λh,o,L. tdeq h o.
+definition cdeq: relation3 lenv term term ≝
+                 λL. tdeq.
 
-definition cdeq_ext: ∀h. sd h → relation3 lenv bind bind ≝
-                     λh,o. cext2 (cdeq h o).
+definition cdeq_ext: relation3 lenv bind bind ≝
+                     cext2 cdeq.
 
 interpretation
-   "context-free degree-based equivalence (binder)"
-   'StarEq h o I1 I2 = (tdeq_ext h o I1 I2).
+   "context-free sort-irrelevant equivalence (binder)"
+   'StarEq I1 I2 = (tdeq_ext I1 I2).
 
 interpretation
-   "context-dependent degree-based equivalence (term)"
-   'StarEq h o L T1 T2 = (cdeq h o L T1 T2).
+   "context-dependent sort-irrelevant equivalence (term)"
+   'StarEq L T1 T2 = (cdeq L T1 T2).
 
 interpretation
-   "context-dependent degree-based equivalence (binder)"
-   'StarEq h o L I1 I2 = (cdeq_ext h o L I1 I2).
+   "context-dependent sort-irrelevant equivalence (binder)"
+   'StarEq L I1 I2 = (cdeq_ext L I1 I2).