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

costSpectrumValue_le_mul

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)

 189theorem costSpectrumValue_le_mul {m n : ℕ} (hm : m ≠ 0) (hn : n ≠ 0) :
 190    costSpectrumValue m ≤ costSpectrumValue (m * n) := by

proof body

Term-mode proof.

 191  rw [costSpectrumValue_mul hm hn]
 192  have := costSpectrumValue_nonneg n
 193  linarith
 194
 195/-- The cost is strictly positive for any integer `n ≥ 2`. -/

depends on (10)

Lean names referenced from this declaration's body.