∀ {M : Type u_1} [inst : Monoid M] (J : CategoryTheory.Functor (CategoryTheory.SingleObj M) (Type u_2))
  (s : ↑J.sections) (f : CategoryTheory.SingleObj.star M ⟶ CategoryTheory.SingleObj.star M),
  J.map f (↑s (CategoryTheory.SingleObj.star M)) = ↑s (CategoryTheory.SingleObj.star M)