∀ {R : Type u_3} [inst : CommSemiring R] {A : Type u_4} [inst_1 : Semiring A] [inst_2 : TopologicalSpace A]
  {B : Type u_5} [inst_3 : Semiring B] [inst_4 : TopologicalSpace B] [inst_5 : Algebra R A] [inst_6 : Algebra R B]
  (toAlgHom toAlgHom_1 : A →ₐ[R] B) (e_toAlgHom : toAlgHom = toAlgHom_1)
  (cont : Continuous (↑↑toAlgHom.toRingHom).toFun),
  { toAlgHom := toAlgHom, cont := cont } = { toAlgHom := toAlgHom_1, cont := ⋯ }