X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Flibrary%2Flist%2Flist.ma;h=d5664f4166c783914af3be60f1d60bc25a008a79;hb=97c2d258a5c524eb5c4b85208899d80751a2c82f;hp=1973dadab299683c4d775d2d409cdc764843faf4;hpb=9adc60caf3223c659d8b64228e90c25cc8d76530;p=helm.git diff --git a/helm/matita/library/list/list.ma b/helm/matita/library/list/list.ma index 1973dadab..d5664f416 100644 --- a/helm/matita/library/list/list.ma +++ b/helm/matita/library/list/list.ma @@ -36,6 +36,8 @@ interpretation "nil" 'nil = (cic:/matita/list/list.ind#xpointer(1/1/1) _). interpretation "cons" 'cons hd tl = (cic:/matita/list/list.ind#xpointer(1/1/2) _ hd tl). +(* theorem test_notation: [O; S O; S (S O)] = O :: S O :: S (S O) :: []. *) + theorem nil_cons: \forall A:Set.\forall l:list A.\forall a:A. a::l <> []. @@ -54,6 +56,11 @@ let rec append A (l1: list A) l2 on l1 := [ nil => l2 | (cons hd tl) => hd :: append A tl l2 ]. +definition tail := \lambda A:Set. \lambda l: list A. + match l with + [ nil => [] + | (cons hd tl) => tl]. + interpretation "append" 'append l1 l2 = (cic:/matita/list/append.con _ l1 l2). theorem append_nil: \forall A:Set.\forall l:list A.l @ [] = l.