Theorems · Theorem · algebraic geometry
AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.sheafedSpace_toSheafedSpace
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : AlgebraicGeometry.SheafedSpace C} (f : X ⟶ Y)
[inst_1 : AlgebraicGeometry.SheafedSpace.IsOpenImmersion f],
AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toSheafedSpace Y f.hom = X- Cited by
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- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.PresheafedSpace.presheafproof · cited by 1,104
- CategoryTheory.InducedCategory.Hom.homstatement and proof · cited by 850
- AlgebraicGeometry.PresheafedSpacestatement and proof · cited by 260
- AlgebraicGeometry.SheafedSpacestatement and proof · cited by 142
- TopCat.Presheaf.IsSheafproof · cited by 38
- AlgebraicGeometry.SheafedSpace.IsOpenImmersionstatement and proof · cited by 23
- AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.toSheafedSpacestatement and proof · cited by 5
- AlgebraicGeometry.SheafedSpace.casesOnproof · cited by 1
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