simp
R : Type u_1
inst✝⁸ : CommRing R
S : Type u_2
inst✝⁷ : CommRing S
inst✝⁶ : Algebra R S
inst✝⁵ : IsIntegrallyClosed R
inst✝⁴ : IsDomain R
inst✝³ : IsDomain S
inst✝² : NoZeroSMulDivisors R S
hRS : Module.Finite R S
inst✝¹ : IsIntegrallyClosed S
inst✝ : IsSeparable (FractionRing R) (FractionRing S)
⊢ span {(Algebra.intNorm R S) 1} = ⊤
no goals