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

criticalBand_implies_subcritical

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)

  98theorem criticalBand_implies_subcritical
  99    {rhoMin area demand : ℝ} (hArea : 0 < area)
 100    (h : InCriticalBand rhoMin area demand) :
 101    IsSubcritical area demand := by

proof body

Term-mode proof.

 102  rcases h with ⟨_, hlt⟩
 103  unfold IsSubcritical
 104  unfold loadRatio at hlt
 105  have hB : 0 < bandwidth area := bandwidth_pos hArea
 106  rw [div_lt_one hB] at hlt
 107  simpa using hlt
 108

used by (2)

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

depends on (5)

Lean names referenced from this declaration's body.