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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.SpecMap_presheaf_map_eqToHom

∀ {X : AlgebraicGeometry.Scheme} {U V : X.Opens} (h : U = V)
  (W : (AlgebraicGeometry.Spec (X.presheaf.obj (Opposite.op V))).Opens),
  AlgebraicGeometry.Scheme.Hom.app (AlgebraicGeometry.Spec.map (X.presheaf.map (CategoryTheory.eqToHom h).op)) W =
    CategoryTheory.eqToHom ⋯
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Mathlib.AlgebraicGeometry.Scheme
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Foundations
Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
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Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Functor.map · cited by 8698Functor.mapOpposite · cited by 8081OppositeCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idTopCat.carrier · cited by 3184TopCat.carrierAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCommRingCat · cited by 2333CommRingCatCategoryTheory.Category.comp_id · cited by 2119Category.comp_idTopologicalSpace.Opens · cited by 2040TopologicalSpace.OpensAlgebraicGeometry.PresheafedSpace.carrier · cited by 2020PresheafedSpace.carrierAlgebraicGeometry.SheafedSpace.toPresheafedSpace · cited by 1988SheafedSpace.toPresheafed…Quiver.Hom.op · cited by 1948Hom.opAlgebraicGeometry.LocallyRingedSpace.toSheafedSpace · cited by 1892LocallyRingedSpace.toShea…Scheme.SpecMap_presheaf_map_e…CITED BYCITES

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