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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.IdealSheafData.le_map_iff_comap_le

∀ {X Y : AlgebraicGeometry.Scheme} {I : X.IdealSheafData} {f : X ⟶ Y} {J : Y.IdealSheafData},
  J ≤ I.map f ↔ J.comap f ≤ I
Defined in
Mathlib.AlgebraicGeometry.IdealSheaf.Functorial
Cited by
2 results in Mathlib
Foundations
Depth 228 from the axioms · uses propext, Classical.choice, Quot.sound
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AlgebraicGeometry.Scheme.IdealSheafData.map_gc · cited by 8IdealSheafData.map_gcAlgebraicGeometry.Scheme.IdealSheafData.map_comp · cited by 1IdealSheafData.map_compQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.Category.assoc · cited by 6433Category.assocAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCategoryTheory.Limits.pullback.fst · cited by 639pullback.fstCategoryTheory.Limits.pullback.snd · cited by 637pullback.sndAlgebraicGeometry.Scheme.IdealSheafData · cited by 192Scheme.IdealSheafDataCategoryTheory.Limits.pullback.lift · cited by 114pullback.liftAlgebraicGeometry.Scheme.Hom.ker · cited by 51Hom.kerCategoryTheory.Limits.pullback.lift_fst · cited by 40pullback.lift_fstAlgebraicGeometry.Scheme.IdealSheafData.subschemeι · cited by 36IdealSheafData.subschemeιAlgebraicGeometry.Scheme.IdealSheafData.subscheme · cited by 36IdealSheafData.subschemeAlgebraicGeometry.Scheme.IdealSheafData.comap · cited by 23IdealSheafData.comapAlgebraicGeometry.Scheme.IdealSheafData.map · cited by 19IdealSheafData.mapIdealSheafData.le_map_iff_com…CITED BYCITES

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