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

phi_plus_inv

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)

  87theorem phi_plus_inv : phi + phi⁻¹ = Real.sqrt 5 := by

proof body

Term-mode proof.

  88  rw [phi_inv_eq]
  89  simp only [phi]
  90  ring
  91
  92/-- **J(φ) exact formula**: J(φ) = (√5 − 2)/2. -/

used by (3)

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

depends on (4)

Lean names referenced from this declaration's body.