X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Flib%2Flist_eq.ma;h=d0c607275445c71e0e1b5761c5c3d22d474b77c2;hb=8f1a123e61ff079b1f9ad63cc915470ec7e6abf3;hp=ffa06ab6d9960c2a0e5758d666be328e0c5efd06;hpb=6604a232815858a6c75dd25ac45abd68438077ff;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/ground/lib/list_eq.ma b/matita/matita/contribs/lambdadelta/ground/lib/list_eq.ma
index ffa06ab6d..d0c607275 100644
--- a/matita/matita/contribs/lambdadelta/ground/lib/list_eq.ma
+++ b/matita/matita/contribs/lambdadelta/ground/lib/list_eq.ma
@@ -15,19 +15,19 @@
 include "ground/notation/relations/ringeq_3.ma".
 include "ground/lib/list.ma".
 
-(* EXTENSIONAL EQUIVALENCE OF LISTS *****************************************)
+(* EXTENSIONAL EQUIVALENCE FOR LISTS ****************************************)
 
 rec definition list_eq A (l1,l2:list A) on l1 ≝
 match l1 with
-[ list_nil        ⇒
+[ list_empty       ⇒
   match l2 with
-  [ list_nil      ⇒ ⊤
-  | list_cons _ _ ⇒ ⊥
+  [ list_empty     ⇒ ⊤
+  | list_lcons _ _ ⇒ ⊥
   ]
-| list_cons a1 l1 ⇒
+| list_lcons a1 l1 ⇒
   match l2 with
-  [ list_nil        ⇒ ⊥
-  | list_cons a2 l2 ⇒ a1 = a2 ∧ list_eq A l1 l2
+  [ list_empty       ⇒ ⊥
+  | list_lcons a2 l2 ⇒ a1 = a2 ∧ list_eq A l1 l2
   ]
 ].
 
@@ -37,18 +37,21 @@ interpretation
 
 (* Basic constructions ******************************************************)
 
-lemma list_eq_refl (A): reflexive … (list_eq A).
+lemma list_eq_refl (A):
+      reflexive … (list_eq A).
 #A #l elim l -l /2 width=1 by conj/
 qed.
 
 (* Main constructions *******************************************************)
 
-theorem eq_list_eq (A,l1,l2): l1 = l2 → l1 ≗{A} l2.
+theorem eq_list_eq (A) (l1) (l2):
+        l1 = l2 → l1 ≗{A} l2.
 // qed.
 
 (* Main inversions **********************************************************)
 
-theorem list_eq_inv_eq (A,l1,l2): l1 ≗{A} l2 → l1 = l2.
+theorem list_eq_inv_eq (A) (l1) (l2):
+        l1 ≗{A} l2 → l1 = l2.
 #A #l1 elim l1 -l1 [| #a1 #l1 #IH ] *
 [ //
 | #a2 #l2 #H elim H