∀ (X : LightProfinite) (X_1 : LightProfiniteᵒᵖ)
  (a :
    ((CategoryTheory.sheafToPresheaf (CategoryTheory.coherentTopology LightProfinite) (Type u)).obj
          ((LightProfinite.toTopCat.comp topCatToLightCondSet).obj X)).obj
      X_1),
  TopCat.Hom.hom ((lightProfiniteToLightCondSetIsoTopCatToLightCondSet.inv.app X).hom.app X_1 a).hom = a