∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] (X : C) (X_1 : CategoryTheory.Discrete PEmpty.{1}),
  (CategoryTheory.Limits.asEmptyCocone X).ι.app X_1 = id (CategoryTheory.Discrete.casesOn X_1 fun as => ⋯.elim)