Specification nat-div

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enrich
   nat-mult
with
   variables 
       m : nat;
       n : nat;
   
   partial functions 
       . / . : nat × nat → nat prio 11 right with λ n, m. m ≠ 0;
       . % . : nat × nat → nat prio 11 right with λ n, m. m ≠ 0;
   
   
   axioms 
      Divdef: n ≠ 0 → m / n * n ≤ m ∧ m < (m / n)+1 * n;
      
      Moddef: n ≠ 0 → m = m / n * n + m % n;
   
   
end enrich