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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Spec.sheafedSpaceMap_comp

∀ {R S T : CommRingCat} (f : R ⟶ S) (g : S ⟶ T),
  AlgebraicGeometry.Spec.sheafedSpaceMap (CategoryTheory.CategoryStruct.comp f g) =
    CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.Spec.sheafedSpaceMap g)
      (AlgebraicGeometry.Spec.sheafedSpaceMap f)
Defined in
Mathlib.AlgebraicGeometry.Spec
Cited by
1 results in Mathlib
Foundations
Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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AlgebraicGeometry.Spec.locallyRingedSpaceMap_comp · cited by 1Spec.locallyRingedSpaceMa…DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compRingHom · cited by 10189RingHomCategoryTheory.Functor.map · cited by 8698Functor.mapCategoryTheory.NatTrans.app · cited by 7406NatTrans.appCategoryTheory.Functor.comp · cited by 6529Functor.compCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idTopCat.carrier · cited by 3184TopCat.carrierCommRingCat · cited by 2333CommRingCatOpposite.unop · cited by 2231Opposite.unopTopologicalSpace.Opens · cited by 2040TopologicalSpace.OpensAlgebraicGeometry.PresheafedSpace.carrier · cited by 2020PresheafedSpace.carrierAlgebraicGeometry.SheafedSpace.toPresheafedSpace · cited by 1988SheafedSpace.toPresheafed…Spec.sheafedSpaceMap_compCITED BYCITES

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