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Theorems · Definition · algebraic geometry

AlgebraicGeometry.Scheme.PartialIso.restrictSource

{X Y : AlgebraicGeometry.Scheme} → (f : X.PartialIso Y) → (U : X.Opens) → Dense ↑U → U ≤ f.source → X.PartialIso Y

Restrict the source of a partial isomorphism to a smaller dense open.

Defined in
Mathlib.AlgebraicGeometry.Birational.Birational
Cited by
10 results in Mathlib
Foundations
Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound
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AlgebraicGeometry.Scheme.PartialIso.trans · cited by 6PartialIso.transAlgebraicGeometry.Scheme.PartialIso.restrictTarget · cited by 5PartialIso.restrictTargetAlgebraicGeometry.Scheme.PartialIso.IsOver.restrictSource · cited by 2IsOver.restrictSourceAlgebraicGeometry.Scheme.PartialIso.trans_iso · cited by 0PartialIso.trans_isoAlgebraicGeometry.Scheme.PartialIso.trans_source · cited by 0PartialIso.trans_sourceAlgebraicGeometry.Scheme.PartialIso.restrictSource.congr_simp · cited by 0restrictSource.congr_simpAlgebraicGeometry.Scheme.PartialIso.restrictSource_iso · cited by 0PartialIso.restrictSource…AlgebraicGeometry.Scheme.PartialIso.restrictSource_source · cited by 0PartialIso.restrictSource…AlgebraicGeometry.Scheme.PartialIso.restrictSource_target · cited by 0PartialIso.restrictSource…AlgebraicGeometry.Scheme.PartialIso.restrictTarget_iso · cited by 0PartialIso.restrictTarget…AlgebraicGeometry.Scheme.PartialIso.restrictTarget_source · cited by 0PartialIso.restrictTarget…AlgebraicGeometry.Scheme.PartialIso.restrictTarget_target · cited by 0PartialIso.restrictTarget…CategoryTheory.Functor.obj · cited by 19642Functor.objSetLike.coe · cited by 8199SetLike.coeCategoryTheory.Iso.hom · cited by 7684Iso.homTopCat.carrier · cited by 3184TopCat.carrierAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCommRingCat · 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…AlgebraicGeometry.Scheme.Opens · cited by 1149Scheme.OpensAlgebraicGeometry.PresheafedSpace.Hom.base · cited by 1135Hom.baseAlgebraicGeometry.LocallyRingedSpace.Hom.toHom · cited by 995Hom.toHomCategoryTheory.Iso.symm · cited by 993Iso.symmAlgebraicGeometry.Scheme.Hom.toLRSHom' · cited by 895Hom.toLRSHom'PartialIso.restrictSourceCITED BYCITES

Cites26

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Cited by12

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