matita/contribs/LOGIC/WLT/defs.ma

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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 }.