Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Spec.sheafedSpaceMap_hom_base
∀ {R S : CommRingCat} (f : R ⟶ S), (AlgebraicGeometry.Spec.sheafedSpaceMap f).hom.base = AlgebraicGeometry.Spec.topMap f- Defined in
- Mathlib.AlgebraicGeometry.Spec
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- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- CommRingCatstatement and proof · cited by 2,333
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- TopCatstatement · cited by 1,889
- AlgebraicGeometry.PresheafedSpace.Hom.basestatement and proof · cited by 1,135
- CategoryTheory.InducedCategory.Hom.homstatement and proof · cited by 850
- AlgebraicGeometry.PresheafedSpacestatement · cited by 260
- AlgebraicGeometry.SheafedSpacestatement · cited by 142
- AlgebraicGeometry.Spec.sheafedSpaceObjstatement · cited by 24
- AlgebraicGeometry.Spec.topObjstatement · cited by 17
- AlgebraicGeometry.Spec.sheafedSpaceMapstatement and proof · cited by 16
- AlgebraicGeometry.Spec.topMapstatement · cited by 13
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