pith. machine review for the scientific record. sign in
theorem proved term proof

ratio_self_similar_of_realized_closed_scale

show as:
view Lean formalization →

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

generate prose now

formal statement (Lean)

  65theorem ratio_self_similar_of_realized_closed_scale
  66    (F : ClosedObservableFramework) (H : RealizedClosedScaleModel F) :
  67    ∀ k,
  68      F.r (F.T^[k + 2] H.baseState) / F.r (F.T^[k + 1] H.baseState) =
  69        F.r (F.T^[k + 1] H.baseState) / F.r (F.T^[k] H.baseState) := by

proof body

Term-mode proof.

  70  intro k
  71  rw [realized_closed_scale_ratio_step F H (k + 1), realized_closed_scale_ratio_step F H k]
  72
  73/-- Closure of the earlier geometric scale sequence yields additive
  74posting on the realized orbit. -/

used by (1)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (17)

Lean names referenced from this declaration's body.