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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.kerAdjunction_counit_app

∀ (Y : AlgebraicGeometry.Scheme) (f : (CategoryTheory.Over Y)ᵒᵖ),
  Y.kerAdjunction.counit.app f =
    (CategoryTheory.Over.homMk (AlgebraicGeometry.Scheme.Hom.toImage (Opposite.unop f).hom) ⋯).op
Defined in
Mathlib.AlgebraicGeometry.IdealSheaf.Subscheme
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Foundations
Depth 222 from the axioms · uses propext, Classical.choice, Quot.sound
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Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objOpposite · cited by 8081OppositeCategoryTheory.NatTrans.app · cited by 7406NatTrans.appCategoryTheory.Functor.comp · cited by 6529Functor.compCategoryTheory.Functor.id · cited by 3333Functor.idAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeOpposite.unop · cited by 2231Opposite.unopQuiver.Hom.op · cited by 1948Hom.opCategoryTheory.Over · cited by 935CategoryTheory.OverCategoryTheory.Over.left · cited by 541Over.leftCategoryTheory.Adjunction.counit · cited by 376Adjunction.counitCategoryTheory.Over.hom · cited by 370Over.homCategoryTheory.Functor.rightOp · cited by 214Functor.rightOpAlgebraicGeometry.Scheme.IdealSheafData · cited by 192Scheme.IdealSheafDataScheme.kerAdjunction_counit_a…CITED BYCITES

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