matita/contribs/LOGIC/CLE/defs.ma

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   3 (*      ||M||                                                             *)
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  11 (*        v         GNU General Public License Version 2                  *)
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  13 (**************************************************************************)
  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).