Specification int-square

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enrich
   int-div
with
   functions 
       . ^2 : Int → Int;
   
   variables 
       i : Int;
       j : Int;
   
   partial functions 
       sqrt : Int → Int with λ i. 0 ≤ i;
   
   
   axioms 
      Square-def: i ^2 = i * i;
      used for: ls;
      
      Sqrt-def: 0 ≤ i → sqrt(i) ^2 ≤ i ∧ i < sqrt(i) +1 ^2;
   
   
end enrich