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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.quasiSeparatedSpace_iff_quasiCompact_prod_lift

∀ {X : AlgebraicGeometry.Scheme},
  QuasiSeparatedSpace ↥X ↔
    AlgebraicGeometry.QuasiCompact
      (CategoryTheory.Limits.prod.lift (CategoryTheory.CategoryStruct.id X) (CategoryTheory.CategoryStruct.id X))
Defined in
Mathlib.AlgebraicGeometry.Morphisms.QuasiSeparated
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Foundations
Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
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Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.Category.assoc · cited by 6433Category.assocCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idTopCat.carrier · cited by 3184TopCat.carrierAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCategoryTheory.Discrete · cited by 2447CategoryTheory.DiscreteCommRingCat · cited by 2333CommRingCatAlgebraicGeometry.PresheafedSpace.carrier · cited by 2020PresheafedSpace.carrierAlgebraicGeometry.SheafedSpace.toPresheafedSpace · cited by 1988SheafedSpace.toPresheafed…AlgebraicGeometry.LocallyRingedSpace.toSheafedSpace · cited by 1892LocallyRingedSpace.toShea…AlgebraicGeometry.Scheme.toLocallyRingedSpace · cited by 1734Scheme.toLocallyRingedSpa…CategoryTheory.Limits.WalkingPair · cited by 1319Limits.WalkingPairCategoryTheory.Limits.pullback.fst · cited by 639pullback.fstAlgebraicGeometry.quasiSepara…CITED BYCITES

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