Theorems · Theorem · algebraic geometry
AlgebraicGeometry.QuasiSeparated.of_comp
∀ {X Y Z : AlgebraicGeometry.Scheme} (f : X ⟶ Y) (g : Y ⟶ Z)
[AlgebraicGeometry.QuasiSeparated (CategoryTheory.CategoryStruct.comp f g)], AlgebraicGeometry.QuasiSeparated f- Cited by
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- Foundations
- Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites23
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
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.PreZeroHypercover.I₀proof · cited by 763
- CategoryTheory.PreZeroHypercover.Xproof · cited by 649
- CategoryTheory.PreZeroHypercover.fproof · cited by 542
- AlgebraicGeometry.IsOpenImmersionproof · cited by 476
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverproof · cited by 469
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