∀ {n : ℕ} (α : Type u_1) [inst : Preorder α] (e : α ≃o Fin (n + 1)) {X : SimplexCategory}
  (F : (CategoryTheory.nerve α).obj (Opposite.op X)) (x : Fin ((Opposite.unop (Opposite.op X)).len + 1)),
  ((fun F => F.comp ⋯.functor) ((fun F => CategoryTheory.Functor.comp F ⋯.functor) F)).obj x = F.obj x