theorem welfare_loss_quadratic_approx (W_nn delta : ℝ) :
-- The quadratic approximation of welfare loss
-- V_n ≈ (1/2) * W_nn * delta^2
(1 / 2 : ℝ) * W_nn * delta ^ 2 = W_nn * delta ^ 2 / 2 := by ringTheorems 7-8, Propositions 5 and 7, Corollary 3: