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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.isoSpec_Spec_inv

∀ (R : CommRingCat),
  (AlgebraicGeometry.Spec R).isoSpec.inv = AlgebraicGeometry.Spec.map (AlgebraicGeometry.Scheme.ΓSpecIso R).inv
Defined in
Mathlib.AlgebraicGeometry.AffineScheme
Cited by
3 results in Mathlib
Foundations
Depth 145 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.AffineSpace.SpecIso_inv_over · cited by 4AffineSpace.SpecIso_inv_o…AlgebraicGeometry.Spec.fromSpecStalk_eq · cited by 4Spec.fromSpecStalk_eqAlgebraicGeometry.Scheme.Hom.normalization.hom_ext · cited by 0normalization.hom_extQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objTop.top · cited by 9680Top.topOpposite · cited by 8081OppositeCategoryTheory.Iso.inv · cited by 6514Iso.invTopCat.carrier · cited by 3184TopCat.carrierAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCommRingCat · cited by 2333CommRingCatTopologicalSpace.Opens · cited by 2040TopologicalSpace.OpensAlgebraicGeometry.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.presheaf · cited by 1104PresheafedSpace.presheafScheme.isoSpec_Spec_invCITED BYCITES

Cites20

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Cited by3

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