∀ {P : TopCat → Prop} [inst : ∀ (S : CompHausLike P) (p : ↑S.toTop → Prop), CompHausLike.HasProp P (Subtype p)]
  [inst_1 : CompHausLike.HasProp P PUnit.{u + 1}] [inst_2 : CompHausLike.HasExplicitFiniteCoproducts P]
  (Y : CategoryTheory.Functor (CompHausLike P)ᵒᵖ (Type (max u w)))
  [inst_3 : CategoryTheory.Limits.PreservesFiniteProducts Y] (x : (CompHausLike P)ᵒᵖ)
  (a :
    (CompHausLike.LocallyConstant.functorToPresheaves.obj (Y.obj (Opposite.op (CompHausLike.of P PUnit.{u + 1})))).obj
      x),
  (CompHausLike.LocallyConstant.counitApp Y).app x a = CompHausLike.LocallyConstant.counitAppApp (Opposite.unop x) Y a