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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.PresheafedSpace.id_c_app

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (X : AlgebraicGeometry.PresheafedSpace C)
  (U : (TopologicalSpace.Opens ↑↑X)ᵒᵖ),
  (CategoryTheory.CategoryStruct.id X).c.app U = X.presheaf.map (CategoryTheory.CategoryStruct.id U)
Defined in
Mathlib.Geometry.RingedSpace.PresheafedSpace
Cited by
5 results in Mathlib
Foundations
Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Category
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

AlgebraicGeometry.PresheafedSpace.stalkMap.id · cited by 2stalkMap.idAlgebraicGeometry.PresheafedSpace.GlueData.π_ιInvApp_π · cited by 1GlueData.π_ιInvApp_πAlgebraicGeometry.Spec.sheafedSpaceMap_id · cited by 1Spec.sheafedSpaceMap_idAlgebraicGeometry.PresheafedSpace.GlueData.ιInvApp_π · cited by 0GlueData.ιInvApp_πAlgebraicGeometry.PresheafedSpace.map_id_c_app · cited by 0PresheafedSpace.map_id_c_…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor.map · cited by 8698Functor.mapOpposite · cited by 8081OppositeCategoryTheory.NatTrans.app · cited by 7406NatTrans.appCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idTopCat.carrier · cited by 3184TopCat.carrierTopologicalSpace.Opens · cited by 2040TopologicalSpace.OpensAlgebraicGeometry.PresheafedSpace.carrier · cited by 2020PresheafedSpace.carrierAlgebraicGeometry.PresheafedSpace.Hom.base · cited by 1135Hom.baseAlgebraicGeometry.PresheafedSpace.presheaf · cited by 1104PresheafedSpace.presheafCategoryTheory.Functor.map_id · cited by 616Functor.map_idTopCat.Presheaf · cited by 371TopCat.PresheafAlgebraicGeometry.PresheafedSpace · cited by 260AlgebraicGeometry.Preshea…PresheafedSpace.id_c_appCITED BYCITES

Cites18

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Cited by5

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