pith. machine review for the scientific record. sign in
lemma proved tactic proof

log_one_add_inv_phi_eq_log_phi

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)

  60lemma log_one_add_inv_phi_eq_log_phi : Real.log (1 + phi⁻¹) = Real.log phi := by

proof body

Tactic-mode proof.

  61  have hshift : (1 + phi⁻¹ : ℝ) = phi := by
  62    simpa [one_div] using one_add_inv_phi_eq_phi
  63  simp [hshift]
  64
  65/-- Neutral normalization fixes the additive offset. -/

used by (3)

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.