helm/software/matita/contribs/RELATIONAL/NPlus/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/RELATIONAL/NPlus/defs".
  16
  17 include "logic/equality.ma".
  18 include "Nat/defs.ma".
  19
  20 inductive NPlus (p:Nat): Nat \to Nat \to Prop \def
  21    | nplus_zero_2: NPlus p zero p
  22    | nplus_succ_2: \forall q, r. NPlus p q r \to NPlus p (succ q) (succ r).
  23
  24 (*CSC: the URI must disappear: there is a bug now *)
  25 interpretation "natural plus predicate" 'rel_plus x y z =
  26    (cic:/matita/RELATIONAL/NPlus/defs/NPlus.ind#xpointer(1/1) x y z).
  27
  28 notation "hvbox(a break + b break == c)"
  29   non associative with precedence 95
  30 for @{ 'rel_plus $a $b $c}.