Theorems · Theorem · algebraic geometry
AlgebraicGeometry.specTargetImageFactorization_app_injective
∀ {X : AlgebraicGeometry.Scheme} {A : CommRingCat} (f : X ⟶ AlgebraicGeometry.Spec A),
Function.Injective
⇑(CategoryTheory.ConcreteCategory.hom
(AlgebraicGeometry.Scheme.Hom.appTop (AlgebraicGeometry.specTargetImageFactorization f)))- Defined in
- Mathlib.AlgebraicGeometry.AffineScheme
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- RingHomstatement · cited by 10,189
- Top.topstatement and proof · cited by 9,680
- Oppositestatement · cited by 8,081
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- Equiv.symmproof · cited by 3,681
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement and proof · cited by 2,333
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.