Theorems · Theorem · algebraic geometry
AlgebraicGeometry.IsFinite.of_comp
∀ {X Y Z : AlgebraicGeometry.Scheme} (f : X ⟶ Y) (g : Y ⟶ Z)
[AlgebraicGeometry.IsFinite (CategoryTheory.CategoryStruct.comp f g)] [AlgebraicGeometry.IsSeparated g],
AlgebraicGeometry.IsFinite f- Cited by
- 2 results in Mathlib
- Foundations
- Depth 224 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
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.IsFinitestatement and proof · cited by 33
- AlgebraicGeometry.IsSeparatedstatement and proof · cited by 31
- CategoryTheory.MorphismProperty.of_postcompproof · cited by 17
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.exists_etale_isCompl_of_quasiFiniteAtproof · cited by 1
- AlgebraicGeometry.IsFinite.comp_iffproof · cited by 0