∀ {T : Type u_1} [inst : CompleteLattice T] {ι : Type u_2} {x : T} {u : ι → T} {v : ι → ι → T},
  CompleteLattice.MulticoequalizerDiagram x u v →
    ∀ (x : (CategoryTheory.Limits.MultispanShape.prod ι).L),
      (match x with
        | (i, j) => v i j) ≤
        u ((CategoryTheory.Limits.MultispanShape.prod ι).snd x)