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theorem proved term proof

extracted_peanoSurface

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formal statement (Lean)

 202theorem extracted_peanoSurface (R : LogicRealization) :
 203    PeanoSurface (extracted R) where
 204  zero_ne_step := R.orbit_no_confusion

proof body

Term-mode proof.

 205  step_injective := R.orbit_step_injective
 206  induction := R.orbit_induction
 207
 208/-- The natural equivalence between two initial Peano objects. -/

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