update in ground_2 and basic_2

[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / lib / list.ma

diff --git a/matita/matita/contribs/lambdadelta/ground_2/lib/list.ma b/matita/matita/contribs/lambdadelta/ground_2/lib/list.ma
index 3ec2d22c7dafab3ca4dd377c85bd0d55718cd9c9..0ea6ae2856d4f3c128a59af277b3674002280315 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground_2/lib/list.ma
+++ b/matita/matita/contribs/lambdadelta/ground_2/lib/list.ma
@@ -12,8 +12,8 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "ground_2/notation/constructors/nil_0.ma".
-include "ground_2/notation/constructors/cons_2.ma".
+include "ground_2/notation/constructors/circledE_1.ma".
+include "ground_2/notation/constructors/oplusright_3.ma".
 include "ground_2/lib/arith.ma".
 
 (* LISTS ********************************************************************)
@@ -22,11 +22,11 @@ inductive list (A:Type[0]) : Type[0] :=
   | nil : list A
   | cons: A → list A → list A.
 
-interpretation "nil (list)" 'Nil = (nil ?).
+interpretation "nil (list)" 'CircledE A = (nil A).
 
-interpretation "cons (list)" 'Cons hd tl = (cons ? hd tl).
+interpretation "cons (list)" 'OPlusRight A hd tl = (cons A hd tl).
 
-rec definition length (A:Type[0]) (l:list A) on l ≝ match l with
+rec definition length A (l:list A) on l ≝ match l with
 [ nil      ⇒ 0
 | cons _ l ⇒ ↑(length A l)
 ].
@@ -45,24 +45,24 @@ rec definition all A (R:predicate A) (l:list A) on l ≝
 lemma length_nil (A:Type[0]): |nil A| = 0.
 // qed.
 
-lemma length_cons (A:Type[0]) (l:list A) (a:A): |a@l| = ↑|l|.
+lemma length_cons (A:Type[0]) (l:list A) (a:A): |a⨮l| = ↑|l|.
 // qed.
 
 (* Basic inversion lemmas on length *****************************************)
 
-lemma length_inv_zero_dx (A:Type[0]) (l:list A): |l| = 0 â\86\92 l = â\97\8a.
+lemma length_inv_zero_dx (A:Type[0]) (l:list A): |l| = 0 â\86\92 l = â\92º.
 #A * // #a #l >length_cons #H destruct
 qed-.
 
-lemma length_inv_zero_sn (A:Type[0]) (l:list A): 0 = |l| â\86\92 l = â\97\8a.
+lemma length_inv_zero_sn (A:Type[0]) (l:list A): 0 = |l| â\86\92 l = â\92º.
 /2 width=1 by length_inv_zero_dx/ qed-.
 
 lemma length_inv_succ_dx (A:Type[0]) (l:list A) (x): |l| = ↑x →
-                         ∃∃tl,a. x = |tl| & l = a @ tl.
+                         ∃∃tl,a. x = |tl| & l = a ⨮ tl.
 #A * /2 width=4 by ex2_2_intro/
 >length_nil #x #H destruct
 qed-.
 
 lemma length_inv_succ_sn (A:Type[0]) (l:list A) (x): ↑x = |l| →
-                         ∃∃tl,a. x = |tl| & l = a @ tl.
+                         ∃∃tl,a. x = |tl| & l = a ⨮ tl.
 /2 width=1 by length_inv_succ_dx/ qed.