theorem crisis_destroys_amplification (e : NSectorEconomy N) {n : Fin N}
(hT : sectorCriticalFriction e n ≤ e.T n) (m : Fin N) :
shockAmplification e n m = 0 := by
simp only [shockAmplification]
rw [weakest_sector_crisis e n hT, zero_mul]Multiplier-Cycle Duality in a Multi-Sector Economy