theorem cross_level_amplification_with_J {N : ℕ} (k : Fin N → ℝ) (hk : ∀ n, 0 < k n) (hprod : 1 < ∏ n : Fin N, k n) : ∃ n, 1 < k n := cross_level_amplification k hk hprod
thesis/CESProofs/Dynamics/HierarchicalJ.lean:146
Paper 3c, Section 6: Hierarchical Implications