matita/contribs/LOGIC/PEq/defs.ma

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  14
  15
  16
  17 (* EQUALITY PREDICATE FOR PROOFS IN CONTEXT
  18 *)
  19
  20 include "datatypes_defs/Context.ma".
  21
  22 inductive PEq (Q1:Context) (p1:Proof) (Q2:Context) (p2:Proof): Prop \def
  23    | peq_intro: Q1 = Q2 \land p1 = p2 \to PEq Q1 p1 Q2 p2
  24 .
  25
  26 (*CSC: the URI must disappear: there is a bug now *)
  27 interpretation
  28    "leibniz equality between proofs in context"
  29    'eq2 x1 y1 x2 y2 =
  30       (cic:/matita/LOGIC/PEq/defs/PEq.ind#xpointer(1/1) x1 y1 x2 y2)
  31 .
  32
  33 notation "hvbox([a1,b1] break = [a2,b2])"
  34   non associative with precedence 45
  35 for @{ 'eq2 $a1 $b1 $a2 $b2 }.