Theorems · Theorem · algebraic geometry
AlgebraicGeometry.prodComparisonIso_algSpec_inv_left
∀ {R : CommRingCat} (X Y : (CommAlgCat ↑R)ᵒᵖ),
CategoryTheory.Over.Hom.left
(CategoryTheory.CartesianMonoidalCategory.prodComparisonIso (AlgebraicGeometry.algSpec R) X Y).inv =
(AlgebraicGeometry.pullbackSpecIso ↑R ↑(Opposite.unop X) ↑(Opposite.unop Y)).hom- Defined in
- Mathlib.AlgebraicGeometry.Group.Affine
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites32
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
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- Algebra.algebraMapstatement · cited by 4,706
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- TensorProductstatement · cited by 2,545
- AlgebraicGeometry.Schemestatement · cited by 2,540
- CategoryTheory.Discretestatement · cited by 2,447
- CommRingCatstatement and proof · cited by 2,333
- Opposite.unopstatement and proof · cited by 2,231
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