Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.LocalRepresentability.glueData_t
∀ {F : CategoryTheory.Sheaf AlgebraicGeometry.Scheme.zariskiTopology (Type u)} {ι : Type u}
{X : ι → AlgebraicGeometry.Scheme} {f : (i : ι) → CategoryTheory.yoneda.obj (X i) ⟶ F.obj}
(hf : ∀ (i : ι), AlgebraicGeometry.IsOpenImmersion.presheaf (f i)) (i j : ι),
(AlgebraicGeometry.Scheme.LocalRepresentability.glueData hf).t i j = ⋯.symmetry ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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 and proof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement and proof · cited by 1,316
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- CategoryTheory.Sheafstatement and proof · cited by 763
- AlgebraicGeometry.IsOpenImmersionstatement and proof · cited by 476
- CategoryTheory.yonedastatement and proof · cited by 351
- AlgebraicGeometry.Scheme.GlueData.toGlueDatastatement and proof · cited by 68
- CategoryTheory.Functor.relativelyRepresentable.pullbackstatement · cited by 65
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