Specification natset

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enrich
   set-union
with
   functions 
       . to . : nat × nat → set(nat) prio 7 right;
   
   variables 
       m : nat;
       n : nat;
       ns : set(nat);
   
   
   axioms 
      range-def: n0 ∈ m to n ↔ m ≤ n0 ∧ n0 < n;
      used for: s, ls;
   
   
end enrich