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Specification weakord
specification
   sorts weakord;
   predicates 
       . < . : weakord × weakord;
   
   variables 
       a : weakord;
       b : weakord;
       c : weakord;
   
   
   axioms 
      irreflexivity: ¬ a < a;
      used for: s, ls;
      
      transitivity: a < b ∧ b < c → a < c;
      used for: f, lf;
      
      leq-trans: ¬ b < a ∧ ¬ c < b → ¬ c < a;
      used for: f, lf;
      comment: a ≤ b defined as ¬ b < a is transitive too;
   
   end specification