Theorems · Definition · algebraic geometry
AlgebraicGeometry.IsSchemeTheoreticallyDominant.casesOn
{X Y : AlgebraicGeometry.Scheme} →
{f : X ⟶ Y} →
{motive : AlgebraicGeometry.IsSchemeTheoreticallyDominant f → Sort u} →
(t : AlgebraicGeometry.IsSchemeTheoreticallyDominant f) →
((ker_eq_bot : AlgebraicGeometry.Scheme.Hom.ker f = ⊥) → motive ⋯) → motive t- Cited by
- 1 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Bot.botstatement and proof · cited by 4,720
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.Scheme.IdealSheafDatastatement · cited by 192
- AlgebraicGeometry.Scheme.Hom.kerstatement and proof · cited by 51
- AlgebraicGeometry.IsSchemeTheoreticallyDominantstatement and proof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.isSchemeTheoreticallyDominant_iffproof · cited by 1