theorem highest_friction_pair_fails_first {J : ℕ} (hJ : 2 ≤ J)
{ρ : ℝ} (hρ : ρ < 1)
{T1 T2 Tstar : ℝ} (hTs : 0 < Tstar)
(hT1_nn : 0 ≤ T1) (hT1 : T1 < Tstar) (hT2 : Tstar ≤ T2) :
effectiveCurvatureKeff J ρ T2 Tstar = 0 ∧
0 < effectiveCurvatureKeff J ρ T1 Tstar := by
constructor
· exact effectiveCurvatureKeff_above_critical J ρ T2 Tstar hTs hT2
· exact effectiveCurvatureKeff_pos hJ hρ hT1_nn hTs hT1Bilateral Trade Collapse Ordering