∀ {α : Type u_1} {a b : α} {s : Finset α} {G : SimpleGraph α} {r : ℕ} [inst : DecidableEq α],
  G.IsNClique r (insert a s) →
    G.IsNClique r (insert b s) → b ∉ s → G.Adj a b → G.IsNClique (r + 1) (insert b (insert a s))