Specification real-floor-ceil

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enrich
   real-abs
with
   functions 
       ⌊ . ⌋ : Real → Int;
       ⌈ . ⌉ : Real → Int;
   
   variables 
       r : Real;
       i : Int;
   
   
   axioms 
      floor-le: ⌊r⌋ .r ≤ r;
      used for: s, ls;
      
      floor-gr-subone: r < ⌊r⌋ .r + 1.r;
      used for: s, ls;
      
      ceil-ge: r ≤ ⌈r⌉ .r;
      
      ceil-ls-add-one: ⌈r⌉ .r < r + 1.r;
   
   
end enrich