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 9e8d1ff4136e27778c44778e6e44b27bc2586562..3ec2d22c7dafab3ca4dd377c85bd0d55718cd9c9 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground_2/lib/list.ma
+++ b/matita/matita/contribs/lambdadelta/ground_2/lib/list.ma
@@ -26,15 +26,15 @@ interpretation "nil (list)" 'Nil = (nil ?).
 
 interpretation "cons (list)" 'Cons hd tl = (cons ? hd tl).
 
-let rec length (A:Type[0]) (l:list A) on l ≝ match l with
+rec definition length (A:Type[0]) (l:list A) on l ≝ match l with
 [ nil      ⇒ 0
-| cons _ l â\87\92 ⫯(length A l)
+| cons _ l â\87\92 â\86\91(length A l)
 ].
 
 interpretation "length (list)"
    'card l = (length ? l).
 
-let rec all A (R:predicate A) (l:list A) on l ≝
+rec definition all A (R:predicate A) (l:list A) on l ≝
   match l with
   [ nil        ⇒ ⊤
   | cons hd tl ⇒ R hd ∧ all A R tl
@@ -45,7 +45,7 @@ let rec 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| = â\86\91|l|.
 // qed.
 
 (* Basic inversion lemmas on length *****************************************)
@@ -57,12 +57,12 @@ qed-.
 lemma length_inv_zero_sn (A:Type[0]) (l:list A): 0 = |l| → l = ◊.
 /2 width=1 by length_inv_zero_dx/ qed-.
 
-lemma length_inv_succ_dx (A:Type[0]) (l:list A) (x): |l| = ⫯x →
+lemma length_inv_succ_dx (A:Type[0]) (l:list A) (x): |l| = â\86\91x →
                          ∃∃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| →
+lemma length_inv_succ_sn (A:Type[0]) (l:list A) (x): â\86\91x = |l| →
                          ∃∃tl,a. x = |tl| & l = a @ tl.
 /2 width=1 by length_inv_succ_dx/ qed.