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theorem proved tactic proof

physics_faithful

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formal statement (Lean)

  79theorem physics_faithful :
  80    LogicRealization.FaithfulArithmeticInterpretation physicsRealization where
  81  injective := by

proof body

Tactic-mode proof.

  82    intro a b h
  83    cases h
  84    rfl
  85  zero_step_noncollapse := by
  86    intro n h
  87    have htick := congrArg PhysicsState.tick h
  88    exact ArithmeticFromLogic.LogicNat.zero_ne_succ n htick
  89
  90/-- Physics realization has invariant extracted arithmetic. -/

depends on (10)

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