∀ {M : Type u_1} {N : Type u_2} [inst : TopologicalSpace M] [inst_1 : TopologicalSpace N] [inst_2 : AddCommMonoid M]
  [inst_3 : ContinuousAdd M] [inst_4 : AddCommMonoid N] (f : M →ₜ+ N) (hf : ∀ (x y : M), Inseparable x y → f x = f y),
  SeparationQuotient.liftContinuousAddMonoidHom f hf =
    { toFun := SeparationQuotient.lift (⇑f) hf, map_zero' := ⋯, map_add' := ⋯, continuous_toFun := ⋯ }