Specification key-set

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actualize
   set-union

with
   key

   
by morphism
   :set → key-set; 
   :elem → key; 
   ∅ → ∅; 
   ++ → ++; 
   # → #; 
   { } → { }; 
   ∪ → ∪; 
   ∩ → ∩; 
   \ → \; 
   -- → --; 
   ∈ → ∈; 
   ⊆ → ⊆; 
   a → key; 
   b → key0; 
   c → key1; 
   s → ks; 
   s0 → ks0; 
   s1 → ks1; 
   s2 → ks2
end actualize