Specification infset-union

[Imprint][Data Privacy Statement][E-Mail]

Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

enrich
   infset-basic
with
   functions 
       { . } : elem → set;
       . ∪ . : set × set → set;
       . ∩ . : set × set → set;
       . \ . : set × set → set;
       . -- . : set × elem → set prio 9 left;
   
   variables 
       a : elem;
       b : elem;
       c : elem;
       s : set;
   
   
   axioms 
      One: {a}  = ∅ ++ a;
      used for: s, ls;
      
      Union: a ∈ s1 ∪ s2 ↔ a ∈ s1 ∨ a ∈ s2;
      used for: ws, ls;
      
      Intersect: a ∈ s1 ∩ s2 ↔ a ∈ s1 ∧ a ∈ s2;
      used for: ws, ls;
      
      Difference: a ∈ s1 \ s2 ↔ a ∈ s1 ∧ ¬ a ∈ s2;
      used for: ws, ls;
      
      Delete: a ∈ s -- b ↔ a ≠ b ∧ a ∈ s;
      used for: s, ls;
   
   
end enrich