{X : SSet} →
  (f₀ f₁ f₃ : SSet.stdSimplex.obj (SimplexCategory.mk 2) ⟶ X) →
    CategoryTheory.CategoryStruct.comp (SSet.stdSimplex.δ 2) f₁ =
        CategoryTheory.CategoryStruct.comp (SSet.stdSimplex.δ 1) f₃ →
      CategoryTheory.CategoryStruct.comp (SSet.stdSimplex.δ 2) f₀ =
          CategoryTheory.CategoryStruct.comp (SSet.stdSimplex.δ 0) f₃ →
        CategoryTheory.CategoryStruct.comp (SSet.stdSimplex.δ 0) f₀ =
            CategoryTheory.CategoryStruct.comp (SSet.stdSimplex.δ 0) f₁ →
          CategoryTheory.Limits.Multicofork
            ((CompleteLattice.MulticoequalizerDiagram.multispanIndex ⋯).toLinearOrder.map SSet.Subcomplex.toSSetFunctor)