theorem compositeMP_decreasing_S {FG QE FR₀ S₁ S₂ S_crit α_FR w_FG w_QE w_FR : ℝ}
(hw : 0 ≤ w_FR) (hFR₀ : 0 ≤ FR₀) (hα : 0 < α_FR) (hSc : 0 < S_crit)
(hS₁ : 0 ≤ S₁) (hS₂ : 0 ≤ S₂) (hS : S₁ ≤ S₂) :
compositeMP FG QE FR₀ S₂ S_crit α_FR w_FG w_QE w_FR ≤
compositeMP FG QE FR₀ S₁ S_crit α_FR w_FG w_QE w_FR := by
unfold compositeMP
linarith [mul_le_mul_of_nonneg_left (fr_decreasing hFR₀ hα hSc hS₁ hS₂ hS) hw]Paper 7: Settlement Feedback and Monetary Policy in a Mesh Economy