theorem endogenous_crossing_summary
(Q_star : ℝ) (hQ : 0 < Q_star)
(I_nash I_coop : ℝ) (hI_coop : 0 < I_coop)
(h_over : I_coop < I_nash) :
-- Nash crossing time < cooperative crossing time
Q_star / I_nash < Q_star / I_coop :=
div_lt_div_of_pos_left hQ hI_coop h_overProposition: Endogenous Crossing