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

defect_implies_zero_free

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)

  68theorem defect_implies_zero_free (db : DefectBudget) :
  69    ∃ c : ℝ, 0 < c ∧ ∀ t, 1 < t → c / Real.log t > 0 := by

proof body

Term-mode proof.

  70  use db.total_defect
  71  exact ⟨db.defect_positive, fun t ht => div_pos db.defect_positive (Real.log_pos ht)⟩
  72
  73/-! ## RS Chain Sufficiency
  74
  75The RS number theory chain needs only the classical zero-free region,
  76not the full Riemann Hypothesis. -/
  77

used by (1)

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

depends on (6)

Lean names referenced from this declaration's body.