Theorems · Theorem · algebraic geometry
AlgebraicGeometry.LocallyRingedSpace.forgetToTop_map
∀ {X Y : AlgebraicGeometry.LocallyRingedSpace} (f : X ⟶ Y),
AlgebraicGeometry.LocallyRingedSpace.forgetToTop.map f =
(AlgebraicGeometry.SheafedSpace.forget CommRingCat).map (CategoryTheory.InducedCategory.homMk f.toHom)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- TopCatstatement · cited by 1,889
- AlgebraicGeometry.LocallyRingedSpace.Hom.toHomstatement · cited by 995
- AlgebraicGeometry.PresheafedSpacestatement · cited by 260
- AlgebraicGeometry.LocallyRingedSpacestatement and proof · cited by 205
- AlgebraicGeometry.SheafedSpacestatement · cited by 142
- CategoryTheory.InducedCategory.homMkstatement · cited by 33
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