update in ground

[helm.git] / matita / matita / contribs / lambdadelta / ground / lib / list_eq.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/lib/list_eq.ma b/matita/matita/contribs/lambdadelta/ground/lib/list_eq.ma
index a245308908e22e08ccaa6bfe376eec3d5804e188..d0c607275445c71e0e1b5761c5c3d22d474b77c2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground/lib/list_eq.ma
+++ b/matita/matita/contribs/lambdadelta/ground/lib/list_eq.ma
@@ -19,15 +19,15 @@ include "ground/lib/list.ma".
 
 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