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

phi_golden_recursion

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)

  88theorem phi_golden_recursion : preferredAspectRatio * (preferredAspectRatio - 1) = 1 := by

proof body

Term-mode proof.

  89  unfold preferredAspectRatio
  90  have h : phi ^ 2 = phi + 1 := phi_sq_eq
  91  have hphi : phi ^ 2 = phi * phi := sq phi
  92  rw [hphi] at h
  93  linarith [h]
  94

used by (1)

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

depends on (3)

Lean names referenced from this declaration's body.