Theorems · Theorem · algebraic geometry
AlgebraicGeometry.StructureSheaf.globalSectionsIso_inv
∀ (R : Type u) [inst : CommRing R],
(AlgebraicGeometry.StructureSheaf.globalSectionsIso R).inv =
CommRingCat.ofHom
↑(RingEquiv.ofBijective (algebraMap R ((AlgebraicGeometry.structureSheafInType R R).obj.obj (Opposite.op ⊤)))
⋯).symm- Defined in
- Mathlib.AlgebraicGeometry.StructureSheaf
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
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Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- RingHomstatement · cited by 10,189
- Top.topstatement · cited by 9,680
- Oppositestatement · cited by 8,081
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- Algebra.algebraMapstatement · cited by 4,706
- TopCat.carrierstatement · cited by 3,184
- CommRingCatstatement · cited by 2,333
- TopologicalSpace.Opensstatement · cited by 2,040
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