theorem monotone_integration {T₁ T₂ Tstar₁ Tstar₂ : ℝ}
(_hTs1 : 0 < Tstar₁) (_hTs2 : 0 < Tstar₂)
(hT : T₁ ≤ T₂) (hTs : Tstar₂ ≤ Tstar₁) :
-- If activity 1 is outsourced (T₁ ≥ T*₁), then activity 2 is also outsourced
Tstar₁ ≤ T₁ → Tstar₂ ≤ T₂ := by
intro h
linarithPropositions 12-17 and Corollary 5: