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Specification gen-names
actualize set-union

with gen-name
by morphism : elem → name; : set → names; ∅ → ∅; ++ → ++; # → #; { } → { }; ∪ → ∪; ∩ → ∩; \ → \; -- → --; ∈ → ∈; ⊆ → ⊆; a → nam; b → nam1; c → nam2; 
            s → nams; s0 → nams0; s1 → nams1; s2 → nams2;
end actualize