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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.LocallyRingedSpace.residueFieldMap_id

∀ {X : AlgebraicGeometry.LocallyRingedSpace} (x : ↑X.toTopCat),
  AlgebraicGeometry.LocallyRingedSpace.residueFieldMap (CategoryTheory.CategoryStruct.id X) x =
    CategoryTheory.CategoryStruct.id (X.residueField x)
Defined in
Mathlib.Geometry.RingedSpace.LocallyRingedSpace.ResidueField
Cited by
1 results in Mathlib
Foundations
Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
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Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.Scheme.residueFieldMap_id · cited by 2Scheme.residueFieldMap_idDFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homTopCat.carrier · cited by 3184TopCat.carrierContinuousMap · cited by 2491ContinuousMapCommRingCat · cited by 2333CommRingCatAlgebraicGeometry.PresheafedSpace.carrier · cited by 2020PresheafedSpace.carrierAlgebraicGeometry.SheafedSpace.toPresheafedSpace · cited by 1988SheafedSpace.toPresheafed…AlgebraicGeometry.LocallyRingedSpace.toSheafedSpace · cited by 1892LocallyRingedSpace.toShea…TopCat · cited by 1889TopCatAlgebraicGeometry.PresheafedSpace.Hom.base · cited by 1135Hom.baseAlgebraicGeometry.PresheafedSpace.presheaf · cited by 1104PresheafedSpace.presheafAlgebraicGeometry.LocallyRingedSpace.Hom.toHom · cited by 995Hom.toHomCommRingCat.Hom.hom · cited by 432Hom.homLocallyRingedSpace.residueFie…CITED BYCITES

Cites26

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Cited by1

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