theorem institutions_widen_integration {c_base A I₁ I₂ K_eff T : ℝ}
(hc : 0 < c_base) (hA : 0 < A) (hI₁ : 0 < I₁) (hI₂ : 0 < I₂)
(hT : 0 < T) (hI : I₁ < I₂) :
integrationSurplus K_eff (monitoringCost c_base A I₁) T <
integrationSurplus K_eff (monitoringCost c_base A I₂) T := by
apply lower_monitoring_widens_integration hT
exact institutions_reduce_monitoring hc hA hI₁ hI₂ hIMicro-Foundation for the Monitoring Cost c₀ (Gap 12)