∀ {M : Type u_3} {P : Type u_1} {R : Type u_2} [inst : CommSemiring R] [inst_1 : Semiring M] [inst_2 : Algebra R M]
  [inst_3 : Semiring P] [inst_4 : Algebra R P] (f : M →ₐ[R] P) (r : R),
  (↑↑((RingCon.kerLiftₐ f).codRestrict f.range ⋯).toRingHom).toFun
      ((algebraMap R (RingCon.ker f.toRingHom).Quotient) r) =
    (algebraMap R ↥f.range) r