∀ {X : SSet} {A : X.Subcomplex} {ι : Type u_2} {U : ι → X.Subcomplex} {V : ι → ι → X.Subcomplex},
  A.MulticoequalizerDiagram U V →
    ∀ (n : SimplexCategoryᵒᵖ),
      CompleteLattice.MulticoequalizerDiagram (A.obj n) (fun i => (U i).obj n) fun i j => (V i j).obj n