theorem concentration_compounds {N : ℕ} {T : ℕ} (hN : 2 ≤ N) (hT : 0 < T) :
1 < (↑N : ℝ) ^ T := by
have hNgt1 : (1 : ℝ) < ↑N := by exact_mod_cast (by omega : 1 < N)
exact one_lt_pow₀ hNgt1 hT.ne'Fair Inheritance: Taxing Concentration, Not Transfer