∀ {R : Type u_3} {A₁ : Type u_1} {A₂ : Type u_2} [inst : CommRing R] [inst_1 : Ring A₁] [inst_2 : Ring A₂]
  [inst_3 : Algebra R A₁] [inst_4 : Algebra R A₂] (e : A₁ ≃ₐ[R] A₂),
  Function.RightInverse e.toLinearEquiv.invFun (↑e.toLinearEquiv).toFun