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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.IsIntegralHom.of_comp

∀ {X Y Z : AlgebraicGeometry.Scheme} (f : X ⟶ Y) (g : Y ⟶ Z)
  [AlgebraicGeometry.IsIntegralHom (CategoryTheory.CategoryStruct.comp f g)] [AlgebraicGeometry.IsSeparated g],
  AlgebraicGeometry.IsIntegralHom f
Defined in
Mathlib.AlgebraicGeometry.Morphisms.Integral
Cited by
1 results in Mathlib
Foundations
Depth 226 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.IsIntegralHomAlgebraicGeometry.IsSeparated
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Around this declaration

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AlgebraicGeometry.IsIntegralHom.comp_iff · cited by 0IsIntegralHom.comp_iffQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.IsSeparated · cited by 31AlgebraicGeometry.IsSepar…AlgebraicGeometry.IsIntegralHom · cited by 18AlgebraicGeometry.IsInteg…CategoryTheory.MorphismProperty.of_postcomp · cited by 17MorphismProperty.of_postc…IsIntegralHom.of_compCITED BYCITES

Cites6

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Cited by1

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