Theorems · Definition · algebraic geometry
AlgebraicGeometry.PresheafedSpace.Hom.toPshHom
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] → {X Y : AlgebraicGeometry.PresheafedSpace C} → X.Hom Y → (X ⟶ Y)Cast Hom X Y as an arrow X ⟶ Y of presheaves.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- AlgebraicGeometry.PresheafedSpacestatement and proof · cited by 260
- AlgebraicGeometry.PresheafedSpace.Homstatement and proof · cited by 32
Cited by7
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.stalkMap_compproof · cited by 11
- AlgebraicGeometry.Scheme.Hom.germ_stalkMapproof · cited by 10
- AlgebraicGeometry.Scheme.Hom.appIso_homproof · cited by 8
- AlgebraicGeometry.Scheme.Hom.germ_stalkMap_applyproof · cited by 2
- AlgebraicGeometry.Scheme.Hom.stalkSpecializes_stalkMapproof · cited by 2
- AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toSchemeHom_toPshHomstatement · cited by 0
- AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.scheme_toSchemestatement · cited by 0