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def definition def or abbrev

arithmetic_invariant

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formal statement (Lean)

  28noncomputable def arithmetic_invariant
  29    (R S : LogicRealization) :
  30    (arithmeticOf R).peano.carrier ≃ (arithmeticOf S).peano.carrier :=

proof body

Definition body.

  31  ArithmeticOf.equivOfInitial (arithmeticOf R) (arithmeticOf S)
  32
  33/-- The forced arithmetic of every realization is canonically equivalent to
  34the reference `LogicNat` Peano object. This is the simplest form of the
  35Universal Forcing theorem. -/

depends on (17)

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