Theorems · Definition · algebraic geometry
AlgebraicGeometry.AffineScheme.equivCommRingCat
AlgebraicGeometry.AffineScheme ≌ CommRingCatᵒᵖ
The category of affine schemes is equivalent to the category of commutative rings.
- Defined in
- Mathlib.AlgebraicGeometry.AffineScheme
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 142 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Oppositestatement · cited by 8,081
- CommRingCatstatement · cited by 2,333
- CategoryTheory.Equivalencestatement · cited by 601
- CategoryTheory.Equivalence.symmproof · cited by 195
- CategoryTheory.equivEssImageOfReflectiveproof · cited by 4
- AlgebraicGeometry.AffineSchemestatement · cited by 2
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