∀ {α : Sort u_3} {β : Type u_4} (f : α → β) (f_inv f_inv_1 : Nonempty α → β → α) (e_f_inv : f_inv = f_inv_1)
  (hf : ∀ (h : Nonempty α), Function.LeftInverse (f_inv h) f),
  Equiv.ofLeftInverse f f_inv hf = Equiv.ofLeftInverse f f_inv_1 ⋯