∀ (P : TopCat → Prop) [inst : CompHausLike.HasProp P PUnit.{u + 1}]
  [inst_1 : CompHausLike.HasExplicitFiniteCoproducts P] [inst_2 : CompHausLike.HasExplicitPullbacks P]
  (hs :
    ∀ ⦃X Y : CompHausLike P⦄ (f : X ⟶ Y),
      CategoryTheory.EffectiveEpi f → Function.Surjective ⇑(CategoryTheory.ConcreteCategory.hom f))
  (x : Type (max u u_1)) (x_1 : (CategoryTheory.Functor.id (Type (max u u_1))).obj x),
  (CompHausLike.LocallyConstant.unit P hs).app x x_1 =
    LocallyConstant.const (↑(CompHausLike.of P PUnit.{u + 1}).toTop) x_1