theorem ngm_entry_increases_with_gain {phi_deriv₁ phi_deriv₂ Fbar sigma : ℝ}
(hF : 0 < Fbar) (hs : 0 < sigma) (hphi : phi_deriv₁ < phi_deriv₂) :
phi_deriv₁ * Fbar / sigma < phi_deriv₂ * Fbar / sigma := by
apply div_lt_div_of_pos_right _ hs
exact mul_lt_mul_of_pos_right hphi hFProposition: Endogenous Crossing