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Specification natset
specification
   using actualize
            set-union
         with
            nat
            
         by morphism
            :elem → nat; 
            :set → natset; 
            ∅ → ∅; 
            ++ → ++; 
            # → #; 
            { } → { }; 
            ∪ → ∪; 
            ∩ → ∩; 
            \ → \; 
            -- → --; 
            ∈ → ∈; 
            ⊆ → ⊆; 
         end actualize
   functions 
       . to . : nat × nat → natset prio 7 right;
   
   variables 
       m : nat;
       n : nat;
       ns : natset;
   
   
   axioms 
      range-def: n0 ∈ m to n ↔ m ≤ n0 ∧ n0 < n;
      used for: s, ls;
   
   
end specification