∀ {α : Type u} {m : Type u → Type u'} {n : Type (max u v) → Type v'} {β : Type u}
  {lift : ⦃γ : Type u⦄ → m γ → Std.Iterators.ULiftT n γ} (it' : Std.IterM m β) (out : β),
  Std.Iterators.Types.ULiftIterator.Monadic.modifyStep (Std.IterStep.yield it' out) =
    Std.IterStep.yield { internalState := { inner := it' } } { down := out }