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theorem proved term proof

window_certificate_extends

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formal statement (Lean)

  57theorem window_certificate_extends {α : Type} (dyn : OneStepDynamics α) :
  58    ∀ n s, dyn.defect (((step8 dyn)^[n]) s) ≤ dyn.defect s := by

proof body

Term-mode proof.

  59  simpa [windowDynamics] using iterate_defect_nonincreasing (windowDynamics dyn)
  60
  61/-- The pattern-level 8-tick cycle exists in D=3. -/

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depends on (7)

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