Mathlib Map

Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.AffineEtale.Spec_obj_hom

∀ (S : AlgebraicGeometry.Scheme)
  (A : CategoryTheory.MorphismProperty.CostructuredArrow @AlgebraicGeometry.Etale ⊤ AlgebraicGeometry.Scheme.Spec S),
  ((AlgebraicGeometry.Scheme.AffineEtale.Spec S).obj A).hom = A.hom
Defined in
Mathlib.AlgebraicGeometry.Sites.AffineEtale
Cited by
0 results in Mathlib
Foundations
Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objTop.top · cited by 9680Top.topOpposite · cited by 8081OppositeCategoryTheory.Functor.id · cited by 3333Functor.idAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCategoryTheory.Discrete · cited by 2447CategoryTheory.DiscreteCommRingCat · cited by 2333CommRingCatCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.Comma.left · cited by 886Comma.leftCategoryTheory.Functor.fromPUnit · cited by 769Functor.fromPUnitCategoryTheory.Comma.right · cited by 727Comma.rightCategoryTheory.Comma.hom · cited by 490Comma.homCategoryTheory.MorphismProperty.Comma.toComma · cited by 260Comma.toCommaAlgebraicGeometry.Scheme.Spec · cited by 57Scheme.SpecAffineEtale.Spec_obj_homCITED BYCITES

Cites20

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.