|
515
|
1 |
(* Title: ZF/ex/Rmap
|
|
|
2 |
ID: $Id$
|
|
|
3 |
Author: Lawrence C Paulson, Cambridge University Computer Laboratory
|
|
|
4 |
Copyright 1994 University of Cambridge
|
|
|
5 |
|
|
|
6 |
Inductive definition of an operator to "map" a relation over a list
|
|
|
7 |
*)
|
|
|
8 |
|
|
|
9 |
Rmap = List +
|
|
|
10 |
|
|
|
11 |
consts
|
|
|
12 |
rmap :: "i=>i"
|
|
|
13 |
|
|
|
14 |
inductive
|
|
|
15 |
domains "rmap(r)" <= "list(domain(r))*list(range(r))"
|
|
|
16 |
intrs
|
|
|
17 |
NilI "<Nil,Nil> : rmap(r)"
|
|
|
18 |
|
|
|
19 |
ConsI "[| <x,y>: r; <xs,ys> : rmap(r) |] ==> \
|
|
|
20 |
\ <Cons(x,xs), Cons(y,ys)> : rmap(r)"
|
|
|
21 |
|
|
|
22 |
type_intrs "[domainI,rangeI] @ list.intrs"
|
|
|
23 |
|
|
|
24 |
end
|
|
|
25 |
|