theorem capitalShare_eq_factorShare {α ρ K L : ℝ} :
capitalShare α ρ K L =
factorShare 2 (fun j => if j = ⟨0, by omega⟩ then α else 1 - α) ρ
(fun j => if j = ⟨0, by omega⟩ then K else L) ⟨0, by omega⟩ := by
simp only [capitalShare, factorShare, cesInner]
congr 1 <;> simp [Fin.sum_univ_two]Two-Factor CES Production Function (Layer 1 of Macro Extension)