theorem institutionalQuality_pos {tree_coeff : ℝ} {J : ℕ} {Fbar : ℝ}
(hc : 0 < tree_coeff) (hJ : 2 ≤ J) (hF : 0 < Fbar) :
0 < institutionalQuality tree_coeff J Fbar := by
simp only [institutionalQuality]
apply mul_pos
· apply mul_pos hc
exact Nat.cast_pos.mpr (by omega)
· exact hFCore definitions for the Lean formalization of Paper 4: