Specification index-array-base

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actualize
   array-copy

with
   elem-index

   
by morphism
   :elem → elem-index; 
   fill → fill; 
   ∈ → ∈; 
   a → ei; 
   b → ei0; 
   c → ei1; 
   [ ] → [ ]; 
   [ ] → [ ]; 
   fill → fill; 
   cmp → cmp
end actualize