Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.isOver_iff
∀ {X Y : AlgebraicGeometry.Scheme} (S : AlgebraicGeometry.Scheme) [inst : X.Over S] [inst_1 : Y.Over S] {f : X ⟶ Y},
AlgebraicGeometry.Scheme.Hom.IsOver f S ↔ CategoryTheory.CategoryStruct.comp f (Y ↘ S) = X ↘ S- Defined in
- Mathlib.AlgebraicGeometry.Over
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.CategoryStruct.compstatement and proof · cited by 17,999
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.overstatement and proof · cited by 76
- CategoryTheory.OverClassstatement · cited by 68
- AlgebraicGeometry.Scheme.Overstatement and proof · cited by 35
- AlgebraicGeometry.Scheme.Hom.IsOverstatement and proof · cited by 19
- CategoryTheory.HomIsOver.comp_overproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.