∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  [inst_2 : CategoryTheory.MonoidalCategory D] (A : CategoryTheory.Functor C D) [inst_3 : CategoryTheory.MonObj A]
  (X : C), (CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.functorObjObj A X).X = A.obj X