∀ {I₁ : Type u_1} {I₂ : Type u_2} {I₃ : Type u_3} {J : Type u_5} {r : I₁ × I₂ × I₃ → J}
  (ρ₂₃ : CategoryTheory.GradedObject.BifunctorComp₂₃IndexData r) (i₁ : I₁) (i₂₃ : ρ₂₃.I₂₃),
  Function.RightInverse
    (fun x =>
      match x with
      | ⟨(i₂, i₃), hi⟩ => ⟨(i₁, i₂, i₃), ⋯⟩)
    fun x =>
    match x with
    | ⟨(i₁', i₂, i₃), hi⟩ => ⟨(i₂, i₃), ⋯⟩