∀ (C : Type u_2) [inst : CategoryTheory.Category.{u_1, u_2} C] (X : CategoryTheory.Monad C),
  CategoryTheory.Mon.Hom.mk' (CategoryTheory.CategoryStruct.id X).toNatTrans ⋯ ⋯ =
    CategoryTheory.CategoryStruct.id X.toMon