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def definition def or abbrev

is_recognition_loop

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formal statement (Lean)

  82def is_recognition_loop (cycle : List Simplex3) : Prop :=

proof body

Definition body.

  83  cycle ≠ [] ∧
  84  (∀ _i : Fin cycle.length, ∃ _shared_face : Prop, True) ∧
  85  -- The loop induces a complete pass through 3-bit local pattern states.
  86  ∃ pass : Fin cycle.length → Pattern 3, Function.Surjective pass
  87
  88/-- Every recognition loop carries a surjective pattern pass. -/

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