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Specification int-inf
enrich
   int-inf-basic
with
   predicates 
       . < . : intinf × intinf;
   
   variables 
       i : int;
       i∞ : intinf;
   
   
   axioms 
      neginf-less: -∞ < i∞ ↔ i∞ ≠ -∞;
      used for: s, ls;
      
      less-inf: i∞ < ∞ ↔ i∞ ≠ ∞;
      used for: s, ls;
      
      less-int: ⌜i⌝  < ⌜i0⌝  ↔ i < i0;
      used for: s, ls;
      
      not-less-neginf: ¬ i∞ < -∞;
      used for: s, ls;
      
      not-inf-less: ¬ ∞ < i∞;
      used for: s, ls;
   
   
end enrich