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def definition def or abbrev

ordered_arithmetic_invariant

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formal statement (Lean)

  63noncomputable def ordered_arithmetic_invariant (R : LogicRealization.{0, 0}) :
  64    (UniversalForcing.arithmeticOf natOrderedRealization).peano.carrier
  65      ≃ (UniversalForcing.arithmeticOf R).peano.carrier :=

proof body

Definition body.

  66  ArithmeticOf.equivOfInitial
  67    (UniversalForcing.arithmeticOf natOrderedRealization)
  68    (UniversalForcing.arithmeticOf R)
  69
  70/-- The ordered realization interprets arithmetic faithfully. -/

depends on (7)

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