Theorems · Theorem · algebraic geometry
AlgebraicGeometry.SheafedSpace.ofRestrict_hom_base
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {U : TopCat} (X : AlgebraicGeometry.SheafedSpace C)
{f : U ⟶ ↑X.toPresheafedSpace} (h : Topology.IsOpenEmbedding ⇑(CategoryTheory.ConcreteCategory.hom f)),
(X.ofRestrict h).hom.base = f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- TopCat.carrierstatement · cited by 3,184
- ContinuousMapstatement · cited by 2,491
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
- TopCatstatement and proof · 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
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