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

scale_perturbed_pos

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)

  48theorem scale_perturbed_pos (levels : ℕ → ℝ) (j : ℕ)
  49    (h_pos : ∀ k, 0 < levels k) (t : ℝ) (k : ℕ) :
  50    0 < ScalePerturbed levels j t k := by

proof body

Term-mode proof.

  51  unfold ScalePerturbed
  52  split
  53  · exact h_pos k
  54  · exact mul_pos (h_pos k) (Real.exp_pos t)
  55
  56/-- The perturbation fixes all levels at or below position `j`. -/

depends on (6)

Lean names referenced from this declaration's body.