Theorems · Theorem · algebraic geometry
AlgebraicGeometry.IsDominant.comp_iff
∀ {X Y Z : AlgebraicGeometry.Scheme} (f : X ⟶ Y) (g : Y ⟶ Z) [AlgebraicGeometry.IsDominant f],
AlgebraicGeometry.IsDominant (CategoryTheory.CategoryStruct.comp f g) ↔ AlgebraicGeometry.IsDominant g- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AlgebraicGeometry.IsDominant
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Cites5
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.IsDominantstatement and proof · cited by 43
- AlgebraicGeometry.IsDominant.of_compproof · cited by 3
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