theorem faster_entry_faster_convergence {lambda₁ lambda₂ sf : ℝ}
(hlam : lambda₁ < lambda₂) (hsf : 0 < sf) :
convergenceRateEntry lambda₁ sf < convergenceRateEntry lambda₂ sf := by
simp only [convergenceRateEntry]
exact mul_lt_mul_of_pos_right hlam hsf## Entry-Exit Dynamics