∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : HomotopicalAlgebra.ModelCategory C]
  (X : HomotopicalAlgebra.FibrantObject C),
  HomotopicalAlgebra.FibrantObject.HoCat.ιCompResolutionNatTrans.app X =
    HomotopicalAlgebra.FibrantObject.toHoCat.map
      { hom := HomotopicalAlgebra.FibrantObject.HoCat.iResolutionObj (HomotopicalAlgebra.FibrantObject.ι.obj X) }