no goals
R : Type u_1
A : Type u_2
inst✝³ : CommSemiring R
inst✝² : CommRing A
inst✝¹ : Algebra R A
𝒜 : ℕ → Submodule R A
inst✝ : GradedAlgebra 𝒜
x : ProjectiveSpectrum 𝒜
⊢ vanishingIdeal {x} = x.asHomogeneousIdeal
simp [vanishingIdeal]