∀ {M : Type u_1} {N : Type u_2} [inst : TopologicalSpace M] [inst_1 : TopologicalSpace N] [inst_2 : Add M]
  [inst_3 : Add N] {α : Type u_3} (e : M ≃ₜ+ N) (f : N → α) (g : M → α), g ∘ ⇑e.symm = f ↔ g = f ∘ ⇑e