Metatheorem - Examples

Examples

Examples of metatheorems include:

  • The deduction theorem for first-order logic says that a sentence of the form φ→ψ is provable from a set of axioms A if and only if the sentence ψ is provable from the system whose axioms consist of φ and all the axioms of A.
  • Consistency proofs of systems such as Peano arithmetic

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