Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Proj.fromOfGlobalSections.congr_simp

∀ {σ : Type u_1} {A : Type u} [inst : CommRing A] [inst_1 : SetLike σ A] [inst_2 : AddSubgroupClass σ A] (𝒜 : ℕ → σ)
  [inst_3 : GradedRing 𝒜] {X : AlgebraicGeometry.Scheme} (f f_1 : A →+* ↑(X.presheaf.obj (Opposite.op ⊤)))
  (e_f : f = f_1) (hf : Ideal.map f (HomogeneousIdeal.irrelevant 𝒜).toIdeal = ⊤),
  AlgebraicGeometry.Proj.fromOfGlobalSections 𝒜 f hf = AlgebraicGeometry.Proj.fromOfGlobalSections 𝒜 f_1 ⋯

Defined in

Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Basic

Cited by

0 results in Mathlib

Foundations

Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingSetLikeAddSubgroupClassGradedRing