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14
15
16
17 (* ORDER RELATION BETWEEN PROOFS IN CONTEXT
18 *)
19
20 include "Weight/defs.ma".
21
22 inductive WLT (Q1:Context) (p1:Proof) (Q2:Context) (p2:Proof): Prop \def
23    | wlt_intro: \forall m,m1. Weight m Q1 p1 m1 \to
24                 \forall m2. Weight m Q2 p2 m2 \to
25                 m1 < m2 \to WLT Q1 p1 Q2 p2               
26 .
27
28 interpretation "order relation between proofs in context" 
29    'lt2 x1 y1 x2 y2 = 
30       (cic:/matita/LOGIC/WLT/defs/WLT.ind#xpointer(1/1) x1 y1 x2 y2).
31
32 notation "hvbox([a1, b1] break \lt [a2, b2])" 
33   non associative with precedence 45
34 for @{ 'lt2 $a1 $b1 $a2 $b2 }.