Specification int-square

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enrich
   int-div
with
   

   
   
   functions  . ^2 : int → int;
              sqrt : int → int;
   predicates  isSquare : int;
   
   
   
   

   

   axioms Square-def :  ⊦ i ^2 = i * i;
          used for: ls;
          Sqrt-def :  ⊦ 0 ≤ i → sqrt(i) ^2 ≤ i ∧ i < sqrt(i) +1 ^2;
          used for: nokodkodax;
          isSquare-def :  ⊦ isSquare(i) ↔ (∃ j. j * j = i);

   

   
end enrich