∀ {α : Type u_1} [inst : LinearOrder α] (F F_1 : Finset (α × α)) (e_F : F = F_1) {k : ℕ} (h : F.card = k) (b b_1 : α),
  b = b_1 →
    ∀ (i i_1 : Fin (k + 1)),
      i = i_1 → Finset.intervalGapsWithin.snd F h b i = Finset.intervalGapsWithin.snd F_1 ⋯ b_1 i_1