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los_tarski_theorem (321B)

      1 # Los-Tarski theorem
      2 
      3 A [first_order_sentence] φ is [preserved_under_extensions] iff φ is [logic_equivalent] to an [existential_first_order] [first_order_sentence]
      4 
      5 Cf [lopez2021preservation]
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      7 Does not [relativize] to [finite_models], cf [counterexample] in [tait1959counterexample]
      8 
      9 Up: [theorem]
     10 
     11 Aliases: Los_Tarski