Theorems · Inductive type · algebraic geometry
AlgebraicGeometry.IsDominant
{X Y : AlgebraicGeometry.Scheme} → (X ⟶ Y) → PropA morphism of schemes is dominant if the underlying map has dense range.
- Cited by
- 43 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- AlgebraicGeometry.Schemestatement · cited by 2,540
Cited by49
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.PartialMap.compstatement and proof · cited by 15
- AlgebraicGeometry.isDominant_iffstatement and proof · cited by 5
- AlgebraicGeometry.Scheme.Hom.partialIsostatement and proof · cited by 5
- AlgebraicGeometry.Scheme.Hom.denseRangestatement and proof · cited by 4
- AlgebraicGeometry.ext_of_isDominant_of_isSeparatedstatement and proof · cited by 3
- AlgebraicGeometry.IsDominant.of_compstatement and proof · cited by 3
- AlgebraicGeometry.Scheme.PartialMap.comp_equiv_of_equiv_leftstatement and proof · cited by 3
- AlgebraicGeometry.Scheme.PartialMap.comp_toPartialMapstatement and proof · cited by 3
- AlgebraicGeometry.Opens.isDominant_homOfLEstatement and proof · cited by 2
- AlgebraicGeometry.Scheme.PartialMap.comp_equiv_of_equiv_rightstatement and proof · cited by 2
- AlgebraicGeometry.Scheme.PartialMap.equiv_iff_of_isSeparated_of_leproof · cited by 2
- AlgebraicGeometry.Scheme.PartialMap.isDominant_hom_iff_of_equivstatement and proof · cited by 2