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theorem proved term proof

step8_defect_nonincreasing

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formal statement (Lean)

  45theorem step8_defect_nonincreasing {α : Type} (dyn : OneStepDynamics α) :
  46    ∀ s, dyn.defect (step8 dyn s) ≤ dyn.defect s := by

proof body

Term-mode proof.

  47  intro s
  48  simpa [step8] using iterate_defect_nonincreasing dyn 8 s
  49
  50/-- The 8-step dynamics itself is a one-step defect-nonincreasing system. -/

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