Theorems · Theorem · algebraic geometry

AlgebraicGeometry.AffineSpace.isoOfIsAffine_inv

∀ (n : Type u) (S : AlgebraicGeometry.Scheme) [inst : AlgebraicGeometry.IsAffine S],
  (AlgebraicGeometry.AffineSpace.isoOfIsAffine n S).inv =
    AlgebraicGeometry.AffineSpace.homOfVector
      (CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.Spec.map (CommRingCat.ofHom MvPolynomial.C)) S.isoSpec.inv)
      (⇑(CategoryTheory.ConcreteCategory.hom
            (AlgebraicGeometry.Scheme.ΓSpecIso
                (CommRingCat.of (MvPolynomial n ↑(S.presheaf.obj (Opposite.op ⊤))))).inv) ∘
        MvPolynomial.X)

Defined in: Mathlib.AlgebraicGeometry.AffineSpace
Cited by: 0 results in Mathlib
Foundations: Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AlgebraicGeometry.IsAffine

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DFunLike.coestatement · cited by 62,936
Quiver.Homstatement · cited by 32,603
CategoryTheory.Functor.objstatement · cited by 19,642
CategoryTheory.CategoryStruct.compstatement · cited by 17,999
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
Finsuppstatement · cited by 5,255
CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
TopCat.carrierstatement · cited by 3,184
AlgebraicGeometry.Schemestatement and proof · cited by 2,540

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