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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.UniversallyClosed.universally_isClosedMap

∀ {X Y : AlgebraicGeometry.Scheme} {f : X ⟶ Y} [self : AlgebraicGeometry.UniversallyClosed f],
  (AlgebraicGeometry.topologically @IsClosedMap).universally f
Defined in
Mathlib.AlgebraicGeometry.Morphisms.UniversallyClosed
Cited by
4 results in Mathlib
Foundations
Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.UniversallyClosed
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.Scheme.Hom.isClosedMap · cited by 6Hom.isClosedMapAlgebraicGeometry.UniversallyClosed.of_comp_surjective · cited by 2UniversallyClosed.of_comp…AlgebraicGeometry.IsIntegralHom.iff_universallyClosed_and_isAffineHom · cited by 2IsIntegralHom.iff_univers…AlgebraicGeometry.UniversallyClosed.out · cited by 0UniversallyClosed.outQuiver.Hom · cited by 32603Quiver.HomAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeIsClosedMap · cited by 138IsClosedMapAlgebraicGeometry.topologically · cited by 35AlgebraicGeometry.topolog…CategoryTheory.MorphismProperty.universally · cited by 30MorphismProperty.universa…AlgebraicGeometry.UniversallyClosed · cited by 24AlgebraicGeometry.Univers…UniversallyClosed.universally…CITED BYCITES

Cites6

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Cited by4

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