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Theorems · Definition · algebraic geometry

AlgebraicGeometry.Scheme.Hom.toImageAux

{X Y : AlgebraicGeometry.Scheme} → (f : X ⟶ Y) → X ⟶ AlgebraicGeometry.Scheme.Hom.image f

(Implementation): Use Hom.toImage instead which has better def-eqs.

Defined in
Mathlib.AlgebraicGeometry.IdealSheaf.Subscheme
Cited by
2 results in Mathlib
Foundations
Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

AlgebraicGeometry.Scheme.Hom.toImage · cited by 13Hom.toImageAlgebraicGeometry.Scheme.Hom.toImage_imageι · cited by 11Hom.toImage_imageιAlgebraicGeometry.Scheme.Hom.toImageAux_spec · cited by 1Hom.toImageAux_specQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compSet.Elem · cited by 7166Set.ElemAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCategoryTheory.PreZeroHypercover.I₀ · cited by 763PreZeroHypercover.I₀CategoryTheory.Limits.pullback.snd · cited by 637pullback.sndCategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercover · cited by 469ZeroHypercover.toPreZeroH…AlgebraicGeometry.Scheme.Opens.ι · cited by 275Opens.ιAlgebraicGeometry.Scheme.affineOpens · cited by 220Scheme.affineOpensAlgebraicGeometry.Scheme.IdealSheafData.ideal · cited by 88IdealSheafData.idealCategoryTheory.Precoverage.ZeroHypercover.pullback₁ · cited by 64ZeroHypercover.pullback₁AlgebraicGeometry.Scheme.Hom.ker · cited by 51Hom.kerAlgebraicGeometry.Scheme.Opens.toSpecΓ · cited by 39Opens.toSpecΓAlgebraicGeometry.Scheme.AffineCover.f · cited by 24AffineCover.fAlgebraicGeometry.iSup_affineOpens_eq_top · cited by 13AlgebraicGeometry.iSup_af…Hom.toImageAuxCITED BYCITES

Cites20

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Cited by3

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