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

runningMax_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)

  62theorem runningMax_pos (a : ℕ → ℝ) (n : ℕ) (h : 0 < a n) :
  63    0 < runningMax a n :=

proof body

Term-mode proof.

  64  lt_of_lt_of_le h (runningMax_ge a n)
  65
  66/-! ## Normalization -/
  67
  68/-- The normalized sequence: ã(n) = a(n) / runningMax(a)(n).
  69    By construction, |ã(n)| ≤ 1 for all n. -/

used by (3)

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

depends on (9)

Lean names referenced from this declaration's body.