theorem composite_mp_decreasing_phi {FG₁ FG₂ QE₁ QE₂ FR₀ S S_crit α_FR w_FG w_QE w_FR : ℝ}
(hwFG : 0 ≤ w_FG) (hwQE : 0 ≤ w_QE)
(hFG : FG₂ ≤ FG₁) (hQE : QE₂ ≤ QE₁) :
compositeMP FG₂ QE₂ FR₀ S S_crit α_FR w_FG w_QE w_FR ≤
compositeMP FG₁ QE₁ FR₀ S S_crit α_FR w_FG w_QE w_FR := by
unfold compositeMP
linarith [mul_le_mul_of_nonneg_left hFG hwFG, mul_le_mul_of_nonneg_left hQE hwQE]Paper 7: Settlement Feedback and Monetary Policy in a Mesh Economy