theorem shares_sum_one_factorAugmented {α ρ A_K K A_L L : ℝ}
(hα : 0 < α) (hα1 : α < 1)
(hAK : 0 < A_K) (hK : 0 < K) (hAL : 0 < A_L) (hL : 0 < L) :
capitalShare α ρ (A_K * K) (A_L * L) +
laborShare α ρ (A_K * K) (A_L * L) = 1 :=
capitalShare_plus_laborShare (ρ := ρ) hα hα1 (mul_pos hAK hK) (mul_pos hAL hL)Directed Technical Change Extension (Acemoglu 2002)