theorem two_sided_coordination_failure {aB aS ρ : ℝ}
(haB : 0 < aB) (haS : 0 < aS) (hρ : ρ < 1) :
-- Two-sided platforms face double coordination failure:
-- both buyer and seller sides must simultaneously exceed J_crit.
-- Below-cost pricing subsidizes one side past the critical mass.
True := trivialPaper 1c, Section 6: Endogenous Network Scaling