matita/contribs/RELATIONAL/NPlusList/defs.ma

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  14
  15 set "baseuri" "cic:/matita/RELATIONAL/NPlusList/defs".
  16
  17 include "datatypes/List.ma".
  18 include "NPlus/defs.ma".
  19
  20
  21 inductive NPlusList: (List Nat) \to Nat \to Prop \def
  22    | nplus_nil: NPlusList (nil ?) zero
  23    | nplus_cons: \forall l,p,q,r.
  24                  NPlusList l p \to NPlus p q r \to NPlusList (cons ? l q) r
  25 .
  26
  27 definition NPlusListEq: (List Nat) \to (List Nat) \to Prop \def
  28    \lambda ns1,ns2. \exists n. NPlusList ns1 n \land NPlusList ns2 n.
  29
  30 (*
  31 (*CSC: the URI must disappear: there is a bug now *)
  32 interpretation "ternary natural plus predicate" 'rel_plus3 x y z =
  33    (cic:/matita/RELATIONAL/NPlus/defs/NPlus3.con w x y z).
  34
  35 notation "hvbox(a break + b break + c == d)"
  36   non associative with precedence 95
  37 for @{ 'rel_plus3 $a $b $c $d}.
  38 *)