theorem lower_monitoring_widens_integration {K_eff c₀₁ c₀₂ T : ℝ}
(hT : 0 < T) (hc : c₀₁ < c₀₂) :
integrationSurplus K_eff c₀₂ T < integrationSurplus K_eff c₀₁ T := by
simp only [integrationSurplus]
linarith [mul_lt_mul_of_pos_right hc hT]Micro-Foundation for the Monitoring Cost c₀ (Gap 12)