∀ (G : Type u_1) [inst : Monoid G] (x : G),
  CategoryTheory.CategoryStruct.comp ((Action.diagonal G 1).ρ x) (Equiv.funUnique (Fin 1) G).toIso.hom =
    CategoryTheory.CategoryStruct.comp ((Action.diagonal G 1).ρ x) (Equiv.funUnique (Fin 1) G).toIso.hom