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Specification key-index-array
actualize
   array-copy

with
   key-index

   
by morphism
   :array → key-array; 
   :elem → keyindex; 
   mkarray → mkkeyarray; 
   # → #; 
   fill → fill; 
   rev → rev; 
   ∈ → ∈; 
   id○ → id○; 
   ar → kar; 
   ar0 → kar0; 
   ar1 → kar1; 
   ar2 → kar2; 
   a → ki; 
   b → ki0; 
   c → ki1; 
   [ ] → [ ]; 
   [ ] → [ ]; 
   fill → fill; 
   copy → copy; 
   subarray → subarray; 
   rev → rev; 
   cmp → cmp; 
   cmp → cmp; 
   idrange → idrange
end actualize