Theorems · Theorem · algebraic geometry
AlgebraicGeometry.AffineScheme.forgetToScheme_map
∀ {X Y : CategoryTheory.InducedCategory AlgebraicGeometry.Scheme CategoryTheory.ObjectProperty.FullSubcategory.obj}
(f : X ⟶ Y), AlgebraicGeometry.AffineScheme.forgetToScheme.map f = f.hom- Defined in
- Mathlib.AlgebraicGeometry.AffineScheme
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Oppositestatement · cited by 8,081
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement and proof · cited by 1,316
- CategoryTheory.InducedCategory.Hom.homstatement · cited by 850
- CategoryTheory.ObjectProperty.FullSubcategorystatement · cited by 726
- CategoryTheory.Functor.essImagestatement · cited by 82
- CategoryTheory.InducedCategorystatement and proof · cited by 71
- AlgebraicGeometry.Scheme.Specstatement · cited by 57
- AlgebraicGeometry.AffineScheme.forgetToSchemestatement and proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.IsStableUnderBaseChange.pullback_fst_appTopproof · cited by 2