Theorems · Theorem · algebraic geometry
AlgebraicGeometry.IsFinite.comp_iff
∀ {X Y Z : AlgebraicGeometry.Scheme} {f : X ⟶ Y} {g : Y ⟶ Z} [AlgebraicGeometry.IsFinite g],
AlgebraicGeometry.IsFinite (CategoryTheory.CategoryStruct.comp f g) ↔ AlgebraicGeometry.IsFinite f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AlgebraicGeometry.IsFinite
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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.IsFinitestatement and proof · cited by 33
- AlgebraicGeometry.IsFinite.of_compproof · cited by 2
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