Theorems · Theorem · algebraic geometry

AlgebraicGeometry.AffineSpace.isoOfIsAffine_inv_over

∀ {n : Type u} (S : AlgebraicGeometry.Scheme) [inst : AlgebraicGeometry.IsAffine S],
  CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.AffineSpace.isoOfIsAffine n S).inv
      (AlgebraicGeometry.AffineSpace n S ↘ S) =
    CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.Spec.map (CommRingCat.ofHom MvPolynomial.C)) S.isoSpec.inv

Defined in: Mathlib.AlgebraicGeometry.AffineSpace
Cited by: 2 results in Mathlib
Foundations: Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AlgebraicGeometry.IsAffine

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Cites36

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

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Oppositestatement · cited by 8,081
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Finsuppstatement · cited by 5,255
CategoryTheory.ConcreteCategory.homproof · cited by 4,022
Equiv.symmproof · cited by 3,681
TopCat.carrierstatement · cited by 3,184
AlgebraicGeometry.Schemestatement and proof · cited by 2,540

Cited by2

Results whose statement or proof uses this declaration.

AlgebraicGeometry.AffineSpace.SpecIso_inv_overproof · cited by 4
AlgebraicGeometry.AffineSpace.isoOfIsAffine_inv_over_assocproof · cited by 0