Theorems · Theorem · algebraic geometry
AlgebraicGeometry.IsDominant.of_comp
∀ {X Y Z : AlgebraicGeometry.Scheme} (f : X ⟶ Y) (g : Y ⟶ Z)
[H : AlgebraicGeometry.IsDominant (CategoryTheory.CategoryStruct.comp f g)], AlgebraicGeometry.IsDominant g- Cited by
- 3 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AlgebraicGeometry.IsDominant
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- LE.le.transproof · cited by 3,151
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.PresheafedSpace.Hom.baseproof · cited by 1,135
- AlgebraicGeometry.LocallyRingedSpace.Hom.toHomproof · cited by 995
- AlgebraicGeometry.Scheme.Hom.toLRSHom'proof · cited by 895
- closure_monoproof · cited by 133
- Set.univ_subset_iffproof · cited by 49
- AlgebraicGeometry.IsDominantstatement and proof · cited by 43
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.ext_of_isDominant_of_isSeparatedproof · cited by 3
- AlgebraicGeometry.IsDominant.comp_iffproof · cited by 0