  31  · have h' : b ≠ a := by intro hb; exact h hb.symm
  32    simp [ethicsCost, h, h']
  33
  34def ethicsInterpret (n : LogicNat) : MoralImprovementStep :=
  35  LogicNat.toNat n
  36
  37/-- Ethical realization as morally meaningful improvement count. -/
  38def ethicsRealization : LogicRealization where
  39  Carrier := MoralImprovementStep
  40  Cost := Nat
  41  zeroCost := inferInstance
  42  compare := ethicsCost
  43  zero := 0
  44  step := Nat.succ
  45  Orbit := LogicNat
  46  orbitZero := LogicNat.zero
  47  orbitStep := LogicNat.succ
  48  interpret := ethicsInterpret
  49  interpret_zero := by rfl
  50  interpret_step := by
  51    intro n
  52    show LogicNat.toNat (LogicNat.succ n) = Nat.succ (LogicNat.toNat n)
  53    rfl
  54  orbit_no_confusion := by intro n h; exact LogicNat.zero_ne_succ n h
  55  orbit_step_injective := LogicNat.succ_injective
  56  orbit_induction := by
  57    intro P h0 hs n
  58    exact LogicNat.induction (motive := P) h0 hs n
  59  orbitEquivLogicNat := Equiv.refl LogicNat
  60  orbitEquiv_zero := rfl
  61  orbitEquiv_step := by intro n; rfl
  62  identity := ethicsCost_self
  63  nonContradiction := ethicsCost_symm
  64  excludedMiddle := True

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.