theorem cascade_increases_friction {β_C K_eff T Tstar : ℝ}
(hβ : 0 < β_C) (hK : 0 < K_eff) (hT : T < Tstar) :
0 < cascadeFrictionRate β_C K_eff T Tstar := by
simp only [cascadeFrictionRate]
exact mul_pos (mul_pos hβ hK) (by linarith)Results T-80 through T-89: Endogenous Information Friction Dynamics