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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.zariskiTopology_le_propQCTopology

∀ {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} [P.IsMultiplicative]
  [AlgebraicGeometry.IsZariskiLocalAtSource P],
  AlgebraicGeometry.Scheme.zariskiTopology ≤ AlgebraicGeometry.Scheme.propQCTopology P
Defined in
Mathlib.AlgebraicGeometry.Sites.QuasiCompact
Cited by
1 results in Mathlib
Foundations
Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.MorphismProperty.IsMultiplicativeAlgebraicGeometry.IsZariskiLocalAtSource
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Around this declaration

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AlgebraicGeometry.isSheaf_type_propQCTopology_iff · cited by 1AlgebraicGeometry.isSheaf…AlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.GrothendieckTopology · cited by 1415CategoryTheory.Grothendie…CategoryTheory.MorphismProperty.IsMultiplicative · cited by 332MorphismProperty.IsMultip…AlgebraicGeometry.IsZariskiLocalAtSource · cited by 37AlgebraicGeometry.IsZaris…AlgebraicGeometry.Scheme.zariskiTopology · cited by 34Scheme.zariskiTopologyAlgebraicGeometry.Scheme.propQCTopology · cited by 8Scheme.propQCTopologyCategoryTheory.Precoverage.toGrothendieck_mono · cited by 7Precoverage.toGrothendiec…AlgebraicGeometry.Scheme.zariskiPrecoverage_le_propQCPrecoverage · cited by 1Scheme.zariskiPrecoverage…Scheme.zariskiTopology_le_pro…CITED BYCITES

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