theorem rg_stability_summary {k : ℕ} (hk : 2 ≤ k) (m : ℕ) :
(m ≤ 2 → modeRate k m = 1) ∧
(3 ≤ m → 0 < modeRate k m ∧ modeRate k m < 1) ∧
(0 ≤ scalingDimension m) :=
⟨fun hm => by simp [modeRate, if_pos hm],
fun hm => modeRate_in_unit_interval hk hm,
no_relevant_perturbations m⟩Renormalization Group for CES: