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2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
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11 (*        v         GNU General Public License Version 2                  *)
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14
15 set "baseuri" "cic:/matita/LOGIC/CLE/defs".
16
17 (* ORDER RELATION BETWEEN POSITIONS AND CONTEXTS
18 *)
19
20 include "datatypes_defs/Context.ma".
21
22 inductive CLE: Nat \to Context \to Prop \def
23    | cle_zero: \forall Q. CLE zero Q
24    | cle_succ: \forall Q,i. CLE i Q \to 
25                \forall p1,p2,R. CLE (succ i) (abst Q p1 p2 R)
26 .
27
28 interpretation "order relation between positions and contexts" 
29    'leq x y = (cic:/matita/LOGIC/CLE/defs/CLE.ind#xpointer(1/1) x y).